diff --git a/arviz/data/inference_data.py b/arviz/data/inference_data.py index 3f9f056718..cbfa34f454 100644 --- a/arviz/data/inference_data.py +++ b/arviz/data/inference_data.py @@ -153,7 +153,7 @@ def __add__(self, other): """Concatenate two InferenceData objects.""" return concat(self, other, copy=True, inplace=False) - def sel(self, inplace=False, **kwargs): + def sel(self, inplace=False, chain_prior=False, **kwargs): """Perform an xarray selection on all groups. Loops over all groups to perform Dataset.sel(key=item) @@ -165,8 +165,12 @@ def sel(self, inplace=False, **kwargs): Parameters ---------- - inplace : bool - If True, modify the InferenceData object inplace, otherwise, return the modified copy. + inplace : bool, optional + If ``True``, modify the InferenceData object inplace, + otherwise, return the modified copy. + chain_prior: bool, optional + If ``False``, do not select prior related groups using ``chain`` dim. + Otherwise, use selection on ``chain`` if present **kwargs : mapping It must be accepted by Dataset.sel() @@ -204,6 +208,8 @@ def sel(self, inplace=False, **kwargs): for group in self._groups: dataset = getattr(self, group) valid_keys = set(kwargs.keys()).intersection(dataset.dims) + if not chain_prior and "prior" in group: + valid_keys -= {"chain"} dataset = dataset.sel(**{key: kwargs[key] for key in valid_keys}) setattr(out, group, dataset) if inplace: diff --git a/arviz/tests/test_data.py b/arviz/tests/test_data.py index 90195f5006..d55387dd8c 100644 --- a/arviz/tests/test_data.py +++ b/arviz/tests/test_data.py @@ -333,6 +333,25 @@ def test_sel_method(inplace): assert np.all(dataset.draw.values == np.arange(200, ndraws)) +def test_sel_method_chain_prior(): + idata = load_arviz_data("centered_eight") + original_groups = getattr(idata, "_groups") + idata_subset = idata.sel(inplace=False, chain_prior=False, chain=[0, 1, 3]) + groups = getattr(idata_subset, "_groups") + assert np.all(np.isin(groups, original_groups)) + for group in groups: + dataset_subset = getattr(idata_subset, group) + dataset = getattr(idata, group) + if "chain" in dataset.dims: + assert "chain" in dataset_subset.dims + if "prior" not in group: + assert np.all(dataset_subset.chain.values == np.array([0, 1, 3])) + else: + assert "chain" not in dataset_subset.dims + with pytest.raises(KeyError): + idata.sel(inplace=False, chain_prior=True, chain=[0, 1, 3]) + + @pytest.mark.parametrize("use", ("del", "delattr")) def test_del_method(use): # create inference data object diff --git a/doc/conf.py b/doc/conf.py index aafe0c1dde..5df28b9eec 100644 --- a/doc/conf.py +++ b/doc/conf.py @@ -54,6 +54,7 @@ "matplotlib.sphinxext.plot_directive", "numpydoc", "nbsphinx", + "m2r", "IPython.sphinxext.ipython_directive", "IPython.sphinxext.ipython_console_highlighting", "gallery_generator", @@ -79,8 +80,8 @@ # The suffix(es) of source filenames. # You can specify multiple suffix as a list of string: # -# source_suffix = ['.rst', '.md'] -source_suffix = ".rst" +source_suffix = ['.rst', '.md'] +# source_suffix = ".rst" # The master toctree document. master_doc = "index" diff --git a/doc/index.rst b/doc/index.rst index 474f34f295..e9a5e99588 100644 --- a/doc/index.rst +++ b/doc/index.rst @@ -25,7 +25,11 @@ ArviZ: Exploratory analysis of Bayesian models ArviZ is a Python package for exploratory analysis of Bayesian models. Includes functions for posterior analysis, sample diagnostics, model checking, and comparison. -The goal is to provide backend-agnostic tools for diagnostics and visualizations of Bayesian inference in Python, by first converting inference data into `xarray `_ objects. See :doc:`here ` for more on xarray and ArviZ. +The goal is to provide backend-agnostic tools for diagnostics and visualizations of Bayesian inference in Python, +by first converting inference data into `xarray `_ objects. +See :doc:`here ` for more on xarray and ArviZ usage +and :doc:`here ` for more on ``InferenceData`` structure +and specification. diff --git a/doc/notebooks/InferenceDataCookbook.ipynb b/doc/notebooks/InferenceDataCookbook.ipynb index 389a361f63..52b4da5ee1 100644 --- a/doc/notebooks/InferenceDataCookbook.ipynb +++ b/doc/notebooks/InferenceDataCookbook.ipynb @@ -5,7 +5,7 @@ "metadata": {}, "source": [ "# Inference Data Cookbook\n", - "`InferenceData` is the central data format for ArviZ. `InferenceData` itself is just a container that maintains references to one or more `xarray.Dataset`. Below are various ways to generate an `InferenceData` object. See [here](XarrayforArviZ.ipynb) for more on xarray." + "`InferenceData` is the central data format for ArviZ. `InferenceData` itself is just a container that maintains references to one or more `xarray.Dataset`. See the `InferenceData` structure specification [here](../schema/schema.html). Below are various ways to generate an `InferenceData` object. See [here](XarrayforArviZ.ipynb) for more on xarray." ] }, { diff --git a/doc/notebooks/Introduction.ipynb b/doc/notebooks/Introduction.ipynb index 12c9a7739f..07d289ac34 100644 --- a/doc/notebooks/Introduction.ipynb +++ b/doc/notebooks/Introduction.ipynb @@ -184,7 +184,7 @@ "\n", "For much more powerful querying, analysis and plotting, we can use built-in ArviZ utilities to convert PyMC3 objects to xarray datasets. Note we are also giving some information about labelling.\n", "\n", - "ArviZ is built to work with `InferenceData`, and the more *groups* it has access to, the more powerful analyses it can perform. Here is a plot of the trace, which is common in PyMC3 workflows. Note the intelligent labels." + "ArviZ is built to work with `InferenceData`, and the more *groups* it has access to, the more powerful analyses it can perform. See the `InferenceData` structure specification [here](../schema/schema.html). Here is a plot of the trace, which is common in PyMC3 workflows. Note the intelligent labels." ] }, { @@ -470,7 +470,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.5" + "version": "3.6.8" } }, "nbformat": 4, diff --git a/doc/notebooks/XarrayforArviZ.ipynb b/doc/notebooks/XarrayforArviZ.ipynb index 1088bf8fb5..ad8a51b81d 100644 --- a/doc/notebooks/XarrayforArviZ.ipynb +++ b/doc/notebooks/XarrayforArviZ.ipynb @@ -40,6 +40,8 @@ "\n", " \n", "\n", + "See the `InferenceData` structure specification [here](../schema/schema.html).\n", + "\n", "\n", "## Why not Pandas Dataframes or Numpy Arrays?\n", "Data from probabilistic programming is naturally high dimensional. To add to the complexity ArviZ must handle the data generated from multiple Bayesian Modeling libraries, such as PyMC3 and PyStan. This is an application that the *xarray* package handles quite well. The xarray package lets users manage high dimensional data with human readable dimensions and coordinates quite easily.\n", @@ -259,7 +261,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.5" + "version": "3.6.8" } }, "nbformat": 4, diff --git a/doc/schema/PyMC3_schema_example.ipynb b/doc/schema/PyMC3_schema_example.ipynb new file mode 100644 index 0000000000..9da721c356 --- /dev/null +++ b/doc/schema/PyMC3_schema_example.ipynb @@ -0,0 +1,5403 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Example of `InferenceData` schema in PyMC3\n", + "The description of the `InferenceData` structure can be found [here](schema.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import arviz as az\n", + "import pymc3 as pm\n", + "import pandas as pd\n", + "import numpy as np\n", + "import xarray\n", + "xarray.set_options(display_style=\"html\");" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
commentstime
Alice75004.5
Bob101006.0
Cole186007.0
Danielle2520012.0
Erika2750018.0
\n", + "
" + ], + "text/plain": [ + " comments time\n", + "Alice 7500 4.5\n", + "Bob 10100 6.0\n", + "Cole 18600 7.0\n", + "Danielle 25200 12.0\n", + "Erika 27500 18.0" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#read data\n", + "data = pd.read_csv(\"linear_regression_data.csv\", index_col=0)\n", + "time = data.time.values\n", + "slack_comments = data.comments.values\n", + "names = data.index.values\n", + "N = len(names)\n", + "data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Only 200 samples in chain.\n", + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [b1, b0, sigma]\n", + "Sampling 4 chains, 0 divergences: 100%|██████████| 2800/2800 [00:03<00:00, 837.12draws/s] \n", + "The acceptance probability does not match the target. It is 0.9005350539239327, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "The acceptance probability does not match the target. It is 0.9627238596322175, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "100%|██████████| 800/800 [00:00<00:00, 1253.93it/s]\n" + ] + } + ], + "source": [ + "with pm.Model() as model:\n", + " time_since_joined = pm.Data(\"time_since_joined\", time)\n", + " \n", + " sigma = pm.HalfNormal('sigma', sd=30)\n", + " b0 = pm.Normal(\"b0\", mu=0, sd=10)\n", + " b1 = pm.Normal(\"b1\", mu=0, sd=10)\n", + " \n", + " pm.Normal(\"slack_comments\", mu=b0 + b1 * time_since_joined, sigma=sigma, observed=slack_comments)\n", + " \n", + " trace = pm.sample(200, chains=4)\n", + " posterior_predictive = pm.sample_posterior_predictive(trace)\n", + " prior = pm.sample_prior_predictive(150)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "idata_pymc3 = az.from_pymc3(\n", + " trace,\n", + " prior=prior,\n", + " posterior_predictive=posterior_predictive,\n", + " coords={\"developer\": names},\n", + " dims={\n", + " \"slack_comments\": [\"developer\"],\n", + " \"log_likelihood\": [\"developer\"],\n", + " \"time_since_joined\": [\"developer\"],\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Inference data with groups:\n", + "\t> posterior\n", + "\t> sample_stats\n", + "\t> posterior_predictive\n", + "\t> prior\n", + "\t> observed_data\n", + "\t> constant_data" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, each variable has as dimension a combination of the following 3: `chain`, `draw` and `developer`. Moreover, each dimension has specific coordinate values. In the case of `chain` and `draw` it is an integer identifier starting at `0`; in the case of `developer` dimension, its coordinate values are the following strings: `[\"Alice\", \"Bob\", \"Cole\", \"Danielle\", \"Erika\"]`." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • draw: 200
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 195 196 197 198 199
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,\n",
      +       "       154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,\n",
      +       "       168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,\n",
      +       "       182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,\n",
      +       "       196, 197, 198, 199])
    • b0
      (chain, draw)
      float64
      -3.04 15.18 0.7325 ... 13.07 -6.569
      array([[-3.04032435e+00,  1.51806687e+01,  7.32508373e-01,\n",
      +       "        -2.06997741e+00,  9.46738118e+00,  6.53228665e-01,\n",
      +       "         1.27503015e+01,  1.26430140e+01,  2.01106555e+00,\n",
      +       "         1.40039937e+01,  2.73531462e+00,  1.24093846e+01,\n",
      +       "         1.24093846e+01,  2.93923934e+01,  5.26208801e+00,\n",
      +       "        -5.07010109e+00,  1.58826264e+01, -3.70896671e+00,\n",
      +       "         8.53245628e+00,  1.55574680e+01, -4.85877225e+00,\n",
      +       "        -5.73694615e+00,  2.28103824e+01,  3.00611658e+01,\n",
      +       "         1.12394001e+01,  4.00449464e+00,  1.01176379e+01,\n",
      +       "         1.26755260e+01, -2.21600972e+00,  1.37468293e+01,\n",
      +       "        -2.34484626e+00, -4.77015662e+00,  1.92349037e+01,\n",
      +       "        -8.87927962e+00,  1.13470600e+01,  1.51172487e+00,\n",
      +       "         1.37185779e+01, -2.33777778e+00, -4.94964359e-01,\n",
      +       "         1.59571587e+01,  1.03788096e+01,  1.10499914e+01,\n",
      +       "        -1.58177252e+00,  8.54805807e+00,  8.45322992e+00,\n",
      +       "         1.89957207e+01, -1.43301598e+01,  2.98393940e+01,\n",
      +       "         1.90708424e+01,  2.40207549e+01, -1.42416865e+01,\n",
      +       "         2.42940569e+01, -1.42185604e+01, -8.52403734e+00,\n",
      +       "         1.32703838e+01,  1.49566024e+01,  2.99304826e+01,\n",
      +       "        -1.75835832e+01,  7.71819085e+00,  1.12959271e+01,\n",
      +       "         4.63586322e+00,  9.10018738e+00,  5.86361243e-01,\n",
      +       "         3.21294522e+00,  1.20938604e+01,  1.53280420e+01,\n",
      +       "         5.91544951e+00,  1.38549477e+01,  2.06364233e+01,\n",
      +       "         8.83340843e+00,  5.96674087e+00,  1.19289322e+01,\n",
      +       "         1.19289322e+01,  3.04940665e+01,  2.89576830e+01,\n",
      +       "         6.55251065e+00, -5.52973892e+00, -2.20615980e+00,\n",
      +       "         1.40473178e+01,  8.85407227e+00, -1.26742886e+00,\n",
      +       "         1.27767687e+01, -4.91001557e-02,  1.00964137e+01,\n",
      +       "        -1.14991065e+01,  1.59372068e+01,  2.45298337e+01,\n",
      +       "        -8.77683383e+00,  5.74916792e+00,  1.24984167e+01,\n",
      +       "        -3.61555807e+00,  2.01245463e+01,  1.00441970e+01,\n",
      +       "         1.09328804e+01,  1.21980496e+00,  1.21238660e+01,\n",
      +       "         5.00529915e-01,  6.91545270e+00,  5.14967620e+00,\n",
      +       "         1.06220230e+01, -4.82971896e-01,  1.95991490e+01,\n",
      +       "        -2.99006406e+00,  7.68247032e+00,  1.02334672e+01,\n",
      +       "         1.01282791e+00,  1.23747498e+01,  5.56805597e+00,\n",
      +       "         9.10801507e+00,  1.47449021e+01, -6.37140440e+00,\n",
      +       "         2.32956832e+01, -9.48503151e+00,  1.34707118e+01,\n",
      +       "         4.71092297e-01, -5.03431541e+00,  1.23185482e+01,\n",
      +       "         7.11832860e+00,  7.22876121e+00,  1.62976322e+01,\n",
      +       "         9.65013656e+00,  6.93330918e+00,  4.82022085e+00,\n",
      +       "         5.62676058e+00,  2.14573121e+00,  6.09001598e+00,\n",
      +       "         2.99463287e+01, -5.09943669e-01,  9.76493833e+00,\n",
      +       "         4.01057128e+00,  4.45098204e+00,  1.27898377e+01,\n",
      +       "         1.19749633e+01,  2.28978863e-01,  3.21371957e+01,\n",
      +       "        -3.00688784e+00,  1.50160876e+01, -3.38226883e+00,\n",
      +       "         5.59298768e+00,  7.11171127e+00,  9.98105508e+00,\n",
      +       "         1.21624826e+01,  1.11510437e+01,  1.70601022e+01,\n",
      +       "         7.53790777e+00,  5.50433995e-01, -9.21280908e+00,\n",
      +       "         1.12296669e+01,  2.90718222e+00, -8.40732786e-01,\n",
      +       "         1.50733756e+01, -9.71797540e+00, -9.55345582e+00,\n",
      +       "         7.93648195e+00,  2.17221379e+01,  3.09780913e+00,\n",
      +       "         1.81221710e+01,  8.13647888e+00,  8.79305250e+00,\n",
      +       "         2.07483177e+01,  4.66779525e+00,  3.08175754e+00,\n",
      +       "         3.95237744e+00, -6.41237417e+00,  1.78234888e+01,\n",
      +       "        -3.73360081e+00, -2.85869789e+00, -8.12884824e+00,\n",
      +       "        -1.12793947e+01, -3.02569368e+00, -2.51250462e+00,\n",
      +       "         2.42993634e+01,  2.44685584e+01,  2.25375217e+01,\n",
      +       "         1.67474060e+01, -8.68595195e+00,  4.49237686e+00,\n",
      +       "         3.99840122e+00,  8.93823820e+00,  2.72558863e+00,\n",
      +       "         8.40994377e+00,  1.17353565e+01,  5.79904421e+00,\n",
      +       "         7.09764294e+00, -3.97445265e+00,  2.55944383e+01,\n",
      +       "         7.78819367e+00, -2.90445846e+00,  1.70265179e+01,\n",
      +       "         1.50744025e+00,  1.50744025e+00, -5.85886668e-01,\n",
      +       "        -1.11583994e+01, -1.11583994e+01,  1.72755933e+01,\n",
      +       "         1.82615970e+01, -3.56447070e+00,  1.72664257e+00,\n",
      +       "         5.56193338e+00,  1.89788194e+00],\n",
      +       "       [ 9.09541050e+00,  1.21356674e+01,  1.16192057e+01,\n",
      +       "         1.10864131e+01,  1.15714931e+01,  2.24569048e+00,\n",
      +       "         1.48010795e+01,  1.46712212e+01,  9.38710585e+00,\n",
      +       "         4.72943500e+00,  6.45962418e+00,  1.05001865e+01,\n",
      +       "        -5.01302538e+00,  2.91144536e+01, -1.53946908e+01,\n",
      +       "         2.82681249e+01,  1.66333160e+01,  1.82709273e+01,\n",
      +       "        -5.00987141e+00, -9.47840723e-02, -6.63449869e+00,\n",
      +       "        -6.22558153e+00,  7.12108131e-02, -4.45056526e+00,\n",
      +       "         1.76389256e+01,  5.73276577e+00,  5.94213296e+00,\n",
      +       "         7.74400310e+00,  3.91834353e+00,  9.62304667e+00,\n",
      +       "         1.83016541e+01,  1.60153948e+01,  1.60153948e+01,\n",
      +       "         1.12794616e+01,  8.45970517e+00,  8.45970517e+00,\n",
      +       "         1.06997651e+01,  1.48643470e+01, -1.04690830e+00,\n",
      +       "        -7.54662734e+00,  6.74140274e+00, -9.16926602e+00,\n",
      +       "         3.65020296e+00,  6.62787310e+00,  3.30141442e+01,\n",
      +       "         3.32933710e+01,  6.53125308e+00,  5.03930892e+00,\n",
      +       "         1.29906358e+01,  1.05274181e+01,  3.99233489e+00,\n",
      +       "         1.99656534e+01,  1.06441527e+01, -1.00903465e+01,\n",
      +       "         1.92054357e+01,  2.80606434e+01,  1.96357311e+01,\n",
      +       "        -6.39366084e+00,  1.18566507e+01,  8.22778513e+00,\n",
      +       "         5.41939785e+00,  1.23874133e+01, -1.24664656e+01,\n",
      +       "         3.63907585e+00,  1.16765708e+01,  1.42663866e+01,\n",
      +       "         8.04898113e+00,  5.61059339e+00,  8.72823028e+00,\n",
      +       "         2.91974379e+00,  1.45695440e+01,  2.45738311e+01,\n",
      +       "        -1.10362359e+01,  2.45645510e+01,  7.62532283e+00,\n",
      +       "         8.40500969e+00,  4.44431505e+00,  2.85393838e+01,\n",
      +       "         2.85393838e+01, -1.47226569e+01,  2.02123656e+01,\n",
      +       "         1.33345095e+01,  1.51127976e+01, -1.70069702e+00,\n",
      +       "         3.32976199e+00,  1.06038954e+01,  7.23568833e+00,\n",
      +       "         1.37645867e+01,  3.75478848e-01, -1.86066751e+00,\n",
      +       "         2.03463194e+01,  2.39202131e+01,  1.52861822e+01,\n",
      +       "         1.40022202e+01,  3.32046281e+00,  3.32046281e+00,\n",
      +       "         1.00957790e+01,  3.42671620e+00,  1.49746498e+01,\n",
      +       "        -3.88420352e+00, -3.86195232e+00,  1.43984541e+01,\n",
      +       "        -2.38011911e+00,  5.50504092e+00,  2.14807231e+01,\n",
      +       "         1.87416896e+01, -4.86543028e+00,  3.72760053e+00,\n",
      +       "         1.02665971e+01,  9.30251795e+00,  7.95465180e+00,\n",
      +       "         5.03327187e+00,  8.56247960e+00,  2.07609962e+01,\n",
      +       "        -5.86445760e+00,  2.02543554e+01,  1.68606162e+01,\n",
      +       "        -3.21505410e+00,  1.83988438e+01,  1.66667431e+00,\n",
      +       "         1.18589606e+01,  5.64718133e+00,  5.64718133e+00,\n",
      +       "        -2.85440836e+00, -1.80952163e+01,  1.90014169e+00,\n",
      +       "         8.96047498e+00,  3.96044222e+00,  9.62679532e+00,\n",
      +       "         4.21799296e+00,  4.18146543e+00,  3.94687313e+00,\n",
      +       "         1.50157305e+01, -1.91450414e+00,  7.27620111e+00,\n",
      +       "         1.53225801e+01, -1.29905498e+00,  1.54080923e+01,\n",
      +       "         2.11559626e+01, -6.46054365e+00,  2.12075178e+01,\n",
      +       "         1.68208524e+01,  1.20691338e+01,  8.12574542e+00,\n",
      +       "         6.72634056e+00,  1.31746798e+01, -5.48255233e+00,\n",
      +       "         1.32012316e+01,  1.73755367e+01,  1.73755367e+01,\n",
      +       "        -3.95620468e+00,  1.69230138e+01, -3.56295644e+00,\n",
      +       "         7.80517248e+00,  1.32284911e+01,  1.52156388e+01,\n",
      +       "         2.34225220e+01, -1.02669628e+01,  2.00264151e+01,\n",
      +       "         3.72488959e+00,  6.44661327e+00, -1.68389657e-01,\n",
      +       "        -7.30897937e-01,  1.36648588e+01, -1.19973648e+00,\n",
      +       "         8.66085476e+00,  1.14496447e+01,  1.60384182e+00,\n",
      +       "         5.44918117e+00,  1.36524891e+01, -1.51839716e+01,\n",
      +       "        -2.25176118e+01, -9.31094612e+00,  1.60660849e+00,\n",
      +       "         6.60028829e+00,  1.65805743e+01,  8.37744413e+00,\n",
      +       "         9.34704610e+00,  4.71165620e+00,  1.63911140e+01,\n",
      +       "         3.15703917e+01,  1.80382963e+01,  1.19134721e+00,\n",
      +       "         2.66038301e+00,  3.50929317e+01, -6.88592012e+00,\n",
      +       "         2.08018556e+01,  1.81087112e+01,  1.81087112e+01,\n",
      +       "        -4.25566251e+00,  2.53683696e+01, -2.19322942e-01,\n",
      +       "         5.21034371e+00, -5.93377924e+00,  1.08879224e+01,\n",
      +       "         3.27490214e+00, -7.46217342e-01, -3.53318934e+00,\n",
      +       "         9.63537225e-01,  6.43117213e+00],\n",
      +       "       [-1.51960382e+00,  1.29066757e+01,  1.27879947e+01,\n",
      +       "         1.18638213e+01,  2.71523666e+00,  5.95008234e+00,\n",
      +       "         5.36507038e+00,  1.60583989e+01,  1.43465195e+00,\n",
      +       "         6.82910024e+00,  4.87779414e+00,  6.71881870e+00,\n",
      +       "         1.79936140e+01, -8.40985120e+00,  3.53087542e+00,\n",
      +       "         1.55663030e+01,  7.53174135e+00,  7.68106258e+00,\n",
      +       "         9.85685317e+00,  1.40820071e+01, -2.10646563e+00,\n",
      +       "         1.33300125e+01, -1.99432391e+00, -3.17538771e+00,\n",
      +       "        -3.30900057e-01, -1.36827489e+01,  9.07551921e+00,\n",
      +       "        -1.66949693e+00, -9.88332878e+00,  8.61338950e+00,\n",
      +       "         1.85329131e+01, -5.30467478e+00,  1.89513932e+01,\n",
      +       "        -9.19162289e+00, -8.46483130e+00,  2.11524638e+01,\n",
      +       "        -1.01416413e+01,  9.28564758e+00, -6.15467017e-02,\n",
      +       "         1.43244745e+01,  1.57816664e+01,  8.88875640e+00,\n",
      +       "         8.88875640e+00, -1.14081931e+00,  1.12553786e+01,\n",
      +       "         8.07719703e+00,  1.95930694e+01,  2.00585600e+01,\n",
      +       "         6.33430613e+00,  2.05952478e+01,  1.19722926e+01,\n",
      +       "         6.92052233e-01, -1.22814582e+00, -1.22814582e+00,\n",
      +       "        -1.16841398e+01, -6.64195210e+00,  2.41614273e+01,\n",
      +       "        -1.11500009e+01,  6.18970721e+00,  1.72822367e+01,\n",
      +       "        -1.88405273e+01, -6.66888278e+00,  2.05037198e+01,\n",
      +       "         2.72932104e+01, -1.97255294e+01,  3.86242404e+01,\n",
      +       "         5.89163800e+00,  1.67537009e+01,  3.36073500e+00,\n",
      +       "         9.94033718e+00,  9.94033718e+00,  1.42817796e+01,\n",
      +       "         1.27732899e+01,  1.80452288e+00, -6.52376112e+00,\n",
      +       "         1.81466761e+01, -6.34039385e+00,  9.30437766e+00,\n",
      +       "         1.22494106e+01,  1.03667848e+01,  1.48750952e+01,\n",
      +       "         1.68898985e+01, -1.28002753e+01,  2.24134170e+01,\n",
      +       "         6.88754414e+00,  3.23802562e+00,  1.22307437e+01,\n",
      +       "        -1.09403254e+01,  2.53078955e+00,  1.33853921e+01,\n",
      +       "         1.47450198e+01, -1.14371457e+01,  5.68891682e-03,\n",
      +       "         5.54030726e+00,  4.08466254e+00,  2.27050738e+01,\n",
      +       "        -1.14192018e+01, -1.39600148e+01, -1.47114285e+01,\n",
      +       "         2.89786792e+01,  5.79446336e+00, -3.64896951e+00,\n",
      +       "         1.33243113e+01,  2.13030221e+01,  1.54456375e+01,\n",
      +       "         1.56399309e+00,  7.46963464e+00,  8.56917833e+00,\n",
      +       "         9.33739665e+00,  1.09502616e+00,  6.75349479e+00,\n",
      +       "         3.38533440e+01,  1.04094283e+01,  4.50788330e+00,\n",
      +       "         1.62053694e+01,  2.55246947e+00,  1.84405036e+01,\n",
      +       "         3.31030307e+01,  3.31030307e+01, -2.20589605e+01,\n",
      +       "         3.18302883e+01, -6.02248736e+00,  1.98374709e+01,\n",
      +       "         2.14938073e+01,  6.67045248e+00, -1.16351565e+01,\n",
      +       "        -1.16351565e+01,  1.93989621e+01, -1.66013099e+00,\n",
      +       "         1.38195378e+01, -6.25565106e-01,  4.69659490e+00,\n",
      +       "         7.85016180e+00,  1.28500371e+00, -5.71263891e+00,\n",
      +       "        -1.40297021e+00, -1.03706436e+01,  1.00555847e+01,\n",
      +       "         2.05228864e+01,  1.23012940e+01,  1.55127632e+01,\n",
      +       "         1.50874631e+01,  2.34659998e+00,  2.34659998e+00,\n",
      +       "        -2.13384359e+00,  1.25466227e+01,  1.59603405e+01,\n",
      +       "         7.81167020e+00, -7.78618328e-01,  1.57527553e+00,\n",
      +       "         1.99706522e+00,  1.93051082e+01,  1.93051082e+01,\n",
      +       "        -4.17331161e+00,  1.23096087e+01, -9.13447633e+00,\n",
      +       "         1.19969388e+01, -1.52405770e+00,  1.23488087e+01,\n",
      +       "         9.96248543e+00,  1.30529684e+00,  1.04818890e+01,\n",
      +       "         2.27238561e+01,  1.07846604e+01,  3.15215237e+00,\n",
      +       "         9.83772639e+00,  4.24883086e+00, -1.21522582e+01,\n",
      +       "         1.72227121e+01,  9.83294601e+00,  9.36180842e+00,\n",
      +       "         1.33622537e+01,  8.86657760e-01,  1.06590306e+01,\n",
      +       "         1.04320548e+01, -1.15570458e+01,  1.78833503e+01,\n",
      +       "        -2.39546387e-01, -1.19084606e+01, -5.53606662e+00,\n",
      +       "         1.38580045e+01,  3.78893179e+00,  8.68026027e+00,\n",
      +       "         8.68026027e+00,  1.88785368e+01,  2.36755898e+01,\n",
      +       "         9.65579092e+00,  6.15379532e+00,  3.67237111e+00,\n",
      +       "         1.62631409e+00, -6.15891860e+00, -7.59191796e+00,\n",
      +       "         2.45139478e+01,  3.23708836e+01,  2.52791093e+01,\n",
      +       "         1.40534738e+01,  1.78381361e+00, -1.45719455e+00,\n",
      +       "        -9.72472855e-01, -9.27986504e+00],\n",
      +       "       [-1.99373539e+00,  1.54911063e+01, -3.40466641e+00,\n",
      +       "        -6.43809481e+00,  1.28742425e+01,  1.09760694e+00,\n",
      +       "         1.81878179e+01,  6.92970798e+00, -1.37332899e+01,\n",
      +       "        -1.79321689e+01,  1.18265282e+01,  1.26467505e+01,\n",
      +       "         7.01585355e+00, -4.56259397e+00,  7.88040805e+00,\n",
      +       "         2.91006285e+00, -2.55622518e-02, -1.81879275e+00,\n",
      +       "         3.86358228e+00,  1.59192133e+01,  9.10906092e-01,\n",
      +       "         4.76989576e+00,  8.95069388e+00, -1.16372181e+01,\n",
      +       "        -9.41460267e+00,  1.44392551e+00,  1.22576973e+01,\n",
      +       "         1.07502387e+01,  9.69171419e+00,  1.53088495e+01,\n",
      +       "         1.46738423e+01,  2.65129345e+00, -1.04747278e-01,\n",
      +       "         3.19322006e+00,  1.04033219e+01,  7.38195745e+00,\n",
      +       "         1.12413576e+01,  2.22074017e+00,  1.16166557e+01,\n",
      +       "         7.59889356e+00,  8.68491178e+00,  1.24382641e+01,\n",
      +       "         1.12996155e+01,  1.79697820e+01,  7.12399955e+00,\n",
      +       "         7.03095728e+00,  4.78547739e-01,  4.73778873e+00,\n",
      +       "         1.24016188e+01,  1.08537981e+01,  1.45591300e+01,\n",
      +       "         1.40257712e+00, -1.04579173e+01,  4.65244627e+00,\n",
      +       "        -1.67703022e+00,  1.43268920e+01, -3.47010528e+00,\n",
      +       "         5.70058042e+00,  1.51678004e+00,  3.51864894e+00,\n",
      +       "        -1.91455522e+00,  4.14260821e+00,  2.69593028e+00,\n",
      +       "         1.44314822e+00,  1.02209080e+01,  1.01219457e+01,\n",
      +       "        -4.41243162e-01,  1.75951988e+01,  3.10511567e+00,\n",
      +       "         6.69863012e+00,  1.20566124e+01,  1.38664846e+00,\n",
      +       "        -1.12477150e+00,  1.92448547e+01,  2.10328610e+01,\n",
      +       "        -6.45584255e+00, -3.46296634e+00,  3.82447839e+00,\n",
      +       "         8.97524387e+00,  3.19054054e+00,  4.79415401e+00,\n",
      +       "         6.32723972e+00,  1.53736445e+01,  1.87152047e+01,\n",
      +       "         9.20798056e+00,  1.40100584e+01,  6.57666166e+00,\n",
      +       "         9.35013168e+00,  6.69861546e+00,  1.59441737e+00,\n",
      +       "         1.03402767e+01,  1.41738850e+01,  4.44713633e+00,\n",
      +       "         1.31096616e+01,  2.50694940e+01,  1.39724507e+01,\n",
      +       "        -8.31944869e+00,  2.30765281e+01, -2.13185908e+00,\n",
      +       "         1.00968526e+01,  5.91553562e+00,  1.76671435e+01,\n",
      +       "        -4.63202679e+00, -5.80438634e+00,  1.77474886e+01,\n",
      +       "         6.77424509e+00,  3.32779158e+00, -1.25847894e+00,\n",
      +       "         2.44208282e-01, -2.33596683e+01, -1.32532448e+01,\n",
      +       "        -1.32751750e+01,  1.31310223e+01,  8.27586880e+00,\n",
      +       "         1.90184477e+01,  3.85613239e+00,  6.17558769e+00,\n",
      +       "        -1.38342770e+01, -1.39020577e+01, -7.01528657e+00,\n",
      +       "        -8.11100298e+00, -2.32729677e+01,  4.01318988e+00,\n",
      +       "         2.59436846e+01,  1.20734837e+01, -1.92089962e+01,\n",
      +       "         2.78628554e+01,  2.80491039e+01,  7.72325981e+00,\n",
      +       "         6.21780224e+00,  6.28323720e+00,  6.90799035e+00,\n",
      +       "         7.19595957e+00,  6.74148649e+00,  6.86532693e+00,\n",
      +       "         7.97723887e+00,  1.13184215e+01,  6.35213141e-01,\n",
      +       "         2.06141540e+01,  1.46743357e+01,  2.14950285e+00,\n",
      +       "        -1.28586657e+00,  2.30257887e+01,  3.05514397e+01,\n",
      +       "         6.95608161e+00,  6.59597054e+00,  1.05713679e+01,\n",
      +       "        -3.01702209e+00, -1.47773032e+00,  1.54131905e+01,\n",
      +       "        -1.03045045e+00,  1.05274549e+01, -7.27335418e+00,\n",
      +       "         2.25544073e+01,  1.65554323e+01,  1.64884707e+01,\n",
      +       "        -3.18088508e+00,  1.38088391e+01, -5.49204818e-01,\n",
      +       "         8.89271247e-01,  6.97948128e+00,  1.06688457e+01,\n",
      +       "         2.46893066e+01, -6.32436834e+00,  1.05832288e+01,\n",
      +       "         7.15670568e+00,  1.19208895e+01,  3.56062537e-01,\n",
      +       "        -8.93755188e-01,  4.42946844e+00,  2.94745570e+01,\n",
      +       "         2.07368809e+01,  2.24494043e+01, -8.88005749e+00,\n",
      +       "         2.07647335e+01, -1.30109317e+00,  7.58313780e+00,\n",
      +       "         5.20217571e+00,  7.26080252e-01,  1.31772069e+01,\n",
      +       "         3.07177427e+00, -3.84454022e+00, -1.04394647e+01,\n",
      +       "         7.99059056e+00,  5.48859136e+00, -8.35824872e-02,\n",
      +       "         8.84866189e+00, -9.81680426e+00,  9.86380738e-01,\n",
      +       "         1.54153555e+01,  2.02210806e+00,  7.72111043e-01,\n",
      +       "         2.16220963e+01, -1.63890345e+01, -1.55046844e+01,\n",
      +       "         3.51071221e+00, -7.76415266e+00,  7.44001615e-01,\n",
      +       "         1.30656613e+01, -6.56866396e+00]])
    • b1
      (chain, draw)
      float64
      99.58 62.15 92.96 ... 71.53 92.44
      array([[ 99.57910648,  62.15488906,  92.96119359,  67.50247828,\n",
      +       "         65.52628278,  62.25651762,  87.50043836,  96.42531886,\n",
      +       "         81.71164338,  72.57880918,  72.21774621,  85.40284504,\n",
      +       "         85.40284504,  59.58377306,  96.85605907,  81.3653183 ,\n",
      +       "         82.17626589,  79.21059209,  64.6447792 ,  75.74281996,\n",
      +       "         76.7968728 ,  80.78407326,  75.95003318,  67.66018461,\n",
      +       "         70.77133688,  72.93316098,  74.95490067,  64.69021328,\n",
      +       "         93.05133684,  55.30322514,  84.45500715,  74.76669861,\n",
      +       "         80.81275205,  76.75778307,  85.77036093,  71.76168473,\n",
      +       "         79.18768884,  82.73651596,  85.5046646 ,  76.30461786,\n",
      +       "         87.19381017,  86.66785676,  75.36365501,  78.73942473,\n",
      +       "         78.26180397,  90.94006066,  76.93358566,  77.55462869,\n",
      +       "         79.53649433,  84.67867403,  75.51677906,  86.63301552,\n",
      +       "         68.52178742,  90.28113726,  59.51072676,  76.87886706,\n",
      +       "         81.11765765,  76.41365672,  85.88153013,  64.49753894,\n",
      +       "         98.04437564,  93.37283444,  85.30384259,  71.09818128,\n",
      +       "         81.81863867,  84.18951674,  81.39419049,  94.18532427,\n",
      +       "         73.4433082 ,  95.79972669,  93.32749512,  85.94327134,\n",
      +       "         85.94327134,  66.82164613,  87.91215003,  66.24834357,\n",
      +       "         71.23001037,  68.02778081,  64.12032224,  86.75029633,\n",
      +       "         74.83218222,  80.23061514,  79.27292543,  69.77036154,\n",
      +       "         86.11772593,  63.63048617,  89.78999648,  70.35744803,\n",
      +       "         67.96144016,  87.98948818,  81.28367227,  71.11245142,\n",
      +       "         78.2337682 ,  78.05332017,  87.3012704 ,  74.45928673,\n",
      +       "         79.3216791 ,  78.37642711,  74.51728006,  81.10418461,\n",
      +       "         75.02030335,  70.30854548,  78.41878478,  70.41388777,\n",
      +       "         79.82628083,  71.512791  ,  77.42146842,  69.23707891,\n",
      +       "         96.70191762,  85.93836586,  78.58552168,  67.9190984 ,\n",
      +       "         84.96564487,  71.33970889,  89.40726813,  67.01017618,\n",
      +       "         76.23624375,  82.93034193,  75.34067016,  69.80467711,\n",
      +       "         64.55011455,  62.73108085,  64.25679895,  72.38467253,\n",
      +       "         68.73808037,  64.50785581,  86.96770715,  50.0855259 ,\n",
      +       "         70.14938611,  75.06695357,  62.28267713,  73.98843049,\n",
      +       "         77.89440138,  75.91577473,  77.67153422,  66.15677608,\n",
      +       "         89.63798325,  68.0965457 ,  76.27811803,  82.13226768,\n",
      +       "         70.25889915,  75.77064501,  66.50147742,  87.35894567,\n",
      +       "         63.45766923,  78.51245886,  76.30611626,  84.12699254,\n",
      +       "         72.02360914,  91.27205614,  76.34981039,  91.42521702,\n",
      +       "         83.3067451 , 106.75443623,  68.96928862,  87.32866675,\n",
      +       "         87.51346768,  77.25673884,  90.07006848,  66.60809188,\n",
      +       "         86.29001999,  88.64961271,  64.06516059,  91.03741878,\n",
      +       "         87.02010886,  68.90871813,  91.26894352,  64.22648099,\n",
      +       "         75.54564843,  72.2089657 ,  65.05870159,  85.50101107,\n",
      +       "         85.17103434,  87.42995566,  84.37733147,  75.89380326,\n",
      +       "         81.1124096 ,  71.3934583 ,  88.46138929,  65.27041881,\n",
      +       "         87.39566894,  81.36775657,  87.5914937 ,  72.50353158,\n",
      +       "         80.64480731,  57.40773879,  91.22479431,  88.43749533,\n",
      +       "         68.50382141,  81.83809767,  81.83809767,  66.23274749,\n",
      +       "         67.19771994,  67.19771994, 100.88368149,  90.86535576,\n",
      +       "         67.30303265,  87.38186347,  83.30990116,  89.74198457],\n",
      +       "       [ 61.67390183,  90.9717063 ,  92.07441172,  74.44649026,\n",
      +       "         84.91106857,  74.50057743,  87.58283204,  93.19218951,\n",
      +       "         71.73558905,  90.68960412,  74.65367893,  91.61835224,\n",
      +       "         81.41377268,  71.70571163,  84.95165018,  63.33480678,\n",
      +       "         73.10936402,  91.24961802,  60.59383494,  75.4424044 ,\n",
      +       "         90.07105961,  84.37479333,  81.95581914,  81.59804739,\n",
      +       "         70.12352281,  74.33012002,  85.13854367,  72.15052059,\n",
      +       "         81.10925007,  76.08088474,  73.64348731,  79.26024075,\n",
      +       "         79.26024075,  68.74955025,  77.41297501,  77.41297501,\n",
      +       "         78.1737221 ,  79.55503643,  79.82445977,  80.3933518 ,\n",
      +       "         79.68364996,  86.74946225,  67.3030522 ,  97.78229637,\n",
      +       "         85.11876614,  83.60684191,  63.26640818,  63.94195737,\n",
      +       "         85.86435092,  90.43381735,  64.28070313,  79.18092039,\n",
      +       "         78.58256711,  79.10675218,  74.87628223,  76.92647795,\n",
      +       "         81.03226893,  71.21396296,  91.60854733,  77.31146529,\n",
      +       "         79.86966941,  95.59291604,  71.69007313,  76.73280221,\n",
      +       "         70.86802009,  74.5921376 ,  77.92398413,  78.70421581,\n",
      +       "         79.6133218 ,  80.89838196,  88.79908615,  65.70735274,\n",
      +       "         91.93105698,  64.01495731,  89.22236257,  78.38308319,\n",
      +       "         70.09915268,  68.12766352,  68.12766352,  90.61345714,\n",
      +       "         83.33326629,  60.21184422,  89.99118775,  64.26699006,\n",
      +       "         79.81241239,  80.65077327,  74.4361823 ,  73.45562651,\n",
      +       "         87.51553774,  72.17874733,  76.09459154,  74.40465042,\n",
      +       "         78.96907978,  80.57465197,  81.31417361,  81.31417361,\n",
      +       "         72.8091149 ,  82.42773982,  81.2612248 ,  79.14268012,\n",
      +       "         77.93016854,  65.74407773,  98.04244127,  83.08659847,\n",
      +       "         75.56279125,  74.66788819,  83.28119644,  78.39837093,\n",
      +       "         81.6740643 ,  79.03806854,  74.83016758,  73.62318042,\n",
      +       "         81.53177336,  78.01362251,  76.99041313,  86.62690077,\n",
      +       "         73.97815584,  81.44603942,  80.15711479,  78.73259853,\n",
      +       "         74.87499861,  76.59864611,  76.59864611,  90.8863642 ,\n",
      +       "         79.48767881,  72.50449869,  77.72160394,  71.79277279,\n",
      +       "         85.41860467,  73.91875525,  74.34790472,  71.99185535,\n",
      +       "         76.08781156,  75.81086774,  85.67350461,  84.88673271,\n",
      +       "         78.81957411,  83.18716249,  86.79093497,  82.00526466,\n",
      +       "         82.82874195,  87.1998884 , 100.22442921, 109.17995218,\n",
      +       "         61.78906635,  54.28905856,  84.86093063,  65.6127896 ,\n",
      +       "         85.47990368,  85.47990368,  68.89238762,  79.36167888,\n",
      +       "         73.96952091,  88.78868123,  75.63528665,  63.48810027,\n",
      +       "         72.54468994,  68.55349378,  62.94522433,  93.37105116,\n",
      +       "         81.93937511,  79.86968679,  79.42917194,  68.16260461,\n",
      +       "         72.7961899 ,  82.67643712,  61.53141924,  88.21413242,\n",
      +       "         70.65568174,  75.4194193 ,  62.65968125,  67.05923117,\n",
      +       "         75.35945549,  67.52677192,  95.03130397,  67.5114241 ,\n",
      +       "         90.95817008,  80.4432763 ,  78.30937183,  79.63515208,\n",
      +       "         66.08031664,  70.94890807,  60.02871148,  67.89210826,\n",
      +       "         73.32242015,  95.07292677,  63.6095025 ,  77.45795358,\n",
      +       "         77.45795358,  81.12317923,  91.52610983,  72.36322745,\n",
      +       "         89.87616625,  87.04223572,  85.91652637,  75.9279113 ,\n",
      +       "         62.66455721,  62.0570031 ,  62.6657868 ,  68.2563813 ],\n",
      +       "       [ 95.75529841,  52.70390826,  59.54523815,  54.22518097,\n",
      +       "         67.05240213,  88.20947685,  90.59253217,  77.0820103 ,\n",
      +       "         80.0443648 ,  89.35665912, 102.98123802,  87.57821475,\n",
      +       "         77.47397696,  80.67933495,  86.42872127,  98.78328212,\n",
      +       "         63.49235524,  89.6810503 ,  78.32515786,  72.05894778,\n",
      +       "         73.11735683,  85.66206839,  76.92916585,  71.98719063,\n",
      +       "         79.27081924,  73.98308607,  88.34586009,  82.54925094,\n",
      +       "         65.9649397 ,  90.88296112,  90.38915091,  63.04159183,\n",
      +       "         82.83727866,  74.59120268,  72.61095551,  96.37659005,\n",
      +       "         74.15138911,  74.48564166,  75.03077351,  90.62865481,\n",
      +       "         96.6958932 ,  73.37126988,  73.37126988,  62.15068759,\n",
      +       "         92.01271419,  91.53400088, 103.96398298,  98.01062847,\n",
      +       "         85.55902175,  90.15844156,  88.50748023,  93.56447442,\n",
      +       "         84.87729765,  84.87729765,  75.83067519,  75.41484749,\n",
      +       "         68.76777955,  76.20153604,  91.15838068,  91.87807024,\n",
      +       "         72.78629524,  66.38164483,  89.38909341,  85.0670747 ,\n",
      +       "         74.81289187,  85.3463415 ,  84.80519465,  83.20453888,\n",
      +       "         77.26621513,  75.66234262,  75.66234262,  99.05874833,\n",
      +       "         92.33678975,  64.30261708,  70.76977748,  79.52418189,\n",
      +       "         74.20256982,  81.29880789,  97.34585759,  73.77024083,\n",
      +       "         91.32735377,  83.93519384,  78.14261632,  77.94218987,\n",
      +       "         67.75984815,  81.61601595,  83.85549769,  71.90458511,\n",
      +       "         66.30147069,  74.91964568,  83.66567067,  72.89680969,\n",
      +       "         68.22955204,  79.52875031,  73.44244267,  70.67544586,\n",
      +       "         72.55151634,  72.31982076,  74.20724775,  90.66273724,\n",
      +       "         89.76276873,  77.83505577,  71.54291252,  79.91100631,\n",
      +       "         80.71288947,  68.21687974,  77.70117107,  78.74769135,\n",
      +       "         91.76550903,  76.35559321,  77.64894098,  89.4604682 ,\n",
      +       "         85.35590041,  73.38022712,  79.48082224,  74.74273138,\n",
      +       "         73.47888598,  83.78348123,  83.78348123,  68.7713468 ,\n",
      +       "         79.06925843,  92.69028305,  81.48483312,  82.33253589,\n",
      +       "         68.73535566,  66.24451235,  66.24451235,  95.51045226,\n",
      +       "         69.956113  ,  92.08538397,  72.19762187,  71.65697428,\n",
      +       "         62.78121373,  49.97704142,  67.50095836,  99.11106711,\n",
      +       "         60.54169427,  57.01535288,  75.74592419,  87.58210353,\n",
      +       "         74.36496012,  87.28142278,  74.19836231,  74.19836231,\n",
      +       "         80.30939059,  72.5808565 ,  74.51380882,  64.11330945,\n",
      +       "         64.53442024,  65.49818763,  70.57145471,  85.37103253,\n",
      +       "         85.37103253,  69.79567078,  76.68517192,  79.30806484,\n",
      +       "         89.6993271 ,  68.98507112, 102.90225483, 102.4506745 ,\n",
      +       "         93.1711156 ,  65.68825108,  65.0268533 ,  89.23813707,\n",
      +       "         94.10051835,  77.68669914,  76.78885409,  89.12686178,\n",
      +       "         74.8302677 ,  68.78778968,  82.47802829,  75.41590964,\n",
      +       "         66.61182219,  85.58515922,  85.99254342,  95.27218539,\n",
      +       "         82.86655115,  74.19353899,  64.32098706,  76.87733885,\n",
      +       "         82.17273464,  78.09433876,  79.17374674,  79.17374674,\n",
      +       "         71.87526302,  71.10928449,  76.43224133,  92.30506887,\n",
      +       "         77.76399646,  80.14265752,  77.43605312,  77.75232152,\n",
      +       "         86.69333841,  93.88417388,  89.39433899,  70.43713862,\n",
      +       "         91.9701132 ,  89.48608931,  67.48933826,  77.183013  ],\n",
      +       "       [ 90.07609028,  85.21135559,  74.10812389,  71.50036745,\n",
      +       "         73.13558907,  88.27157486,  74.46551137,  76.46859356,\n",
      +       "         78.20601906,  77.83260043,  67.2483542 ,  93.89069442,\n",
      +       "         94.32387519,  69.21723058,  74.86738939,  76.73476002,\n",
      +       "         82.95138392,  89.66291065,  76.22740994,  80.02162479,\n",
      +       "         70.02111778,  72.52681232,  89.21558232,  80.86498197,\n",
      +       "         58.25071446,  69.30566733,  64.96668991,  73.84707774,\n",
      +       "         88.68434162, 102.43193189,  96.72091746,  74.76522362,\n",
      +       "         77.55993283,  58.0258866 ,  99.77554067,  97.59258899,\n",
      +       "         48.1986528 ,  89.64598446,  64.83530467,  91.39241224,\n",
      +       "         87.87925915,  84.96559083,  85.7475124 ,  83.12461275,\n",
      +       "         71.24857503,  88.08608164,  97.79722496,  94.87582813,\n",
      +       "         71.66212871,  92.08435766,  97.09578301,  57.59171179,\n",
      +       "         86.38113615,  71.0281726 ,  75.32043503,  83.2993056 ,\n",
      +       "         73.47388477,  60.9238692 ,  69.33610519, 101.48913854,\n",
      +       "         65.3976675 ,  99.26376046,  99.94344119,  95.16699784,\n",
      +       "         87.09152416,  89.55599958,  82.02166825,  73.80709206,\n",
      +       "         73.65653983,  88.41354668,  72.61306934,  81.30744399,\n",
      +       "         86.29168729,  84.92327555,  74.44864827,  98.76007895,\n",
      +       "         91.88287681,  75.26928192,  75.47919802,  74.18300187,\n",
      +       "         83.57798737,  75.95266066,  89.93899844,  88.2145101 ,\n",
      +       "         76.23226827,  75.91546136,  74.23188421,  81.10741852,\n",
      +       "         74.27288709,  96.16375573,  90.40057873,  72.88650313,\n",
      +       "         85.61157627,  72.98795931,  87.00357061,  93.06830422,\n",
      +       "         75.65755719,  73.14674238,  89.57795566,  72.36825039,\n",
      +       "         79.63067911,  77.71060461,  88.67739487,  90.77634123,\n",
      +       "         61.7396443 ,  90.83078932,  77.81133809,  82.27749987,\n",
      +       "         69.93845972,  73.17863213,  84.22707847,  83.91289663,\n",
      +       "         65.7117132 ,  77.19484859,  79.71928173,  70.42968959,\n",
      +       "         80.23238354,  63.43892195,  65.57903079,  78.23274608,\n",
      +       "         79.54255829,  73.65994432,  65.30510273,  88.94897407,\n",
      +       "         81.19201462,  74.8945042 ,  85.40119319,  83.73547688,\n",
      +       "         86.34695862,  72.58176584,  72.9368623 ,  89.19076788,\n",
      +       "         69.02499446,  89.30412155,  80.27689929,  77.18408039,\n",
      +       "         66.42240832,  82.5175042 ,  88.85894063,  70.63189121,\n",
      +       "         82.95370691,  86.79884743,  69.4153203 ,  79.961221  ,\n",
      +       "         78.82215223,  78.33306985,  84.25824752,  82.05088228,\n",
      +       "         91.71871653,  69.70436321,  86.56380002,  77.49422372,\n",
      +       "         67.66347824,  78.52618534,  85.07955387,  85.65079949,\n",
      +       "         69.90700873,  79.17291864,  70.70145451,  75.8092666 ,\n",
      +       "         80.38615545,  73.33506933,  65.89863272,  84.20602035,\n",
      +       "         65.83976153,  77.30174759,  62.65716751,  65.84250359,\n",
      +       "         88.72099479,  57.0846366 ,  96.56247579,  95.70915136,\n",
      +       "         90.22640171,  73.26880375,  67.90189683,  68.4888322 ,\n",
      +       "         83.9256816 ,  69.19152791,  69.45759482,  67.82397736,\n",
      +       "         82.58749732,  78.07964588,  72.30073723,  90.71882114,\n",
      +       "         97.65351652,  93.79241178,  77.36866107,  61.23582665,\n",
      +       "         68.26649601,  85.28106101,  68.45631962,  66.44806595,\n",
      +       "         87.28582808,  76.95952185,  77.28714637,  67.23212731,\n",
      +       "         81.58253226,  81.0178196 ,  71.53141827,  92.43787736]])
    • sigma
      (chain, draw)
      float64
      1.11e+03 1.126e+03 ... 1.13e+03
      array([[1109.77173469, 1125.80164032, 1112.89826104, 1113.94530943,\n",
      +       "        1140.00314095, 1124.56483397, 1096.61294609, 1094.44605945,\n",
      +       "        1121.98657407, 1125.3335059 , 1112.90233575, 1115.90343731,\n",
      +       "        1115.90343731, 1105.11619571, 1134.75232358, 1096.00410933,\n",
      +       "        1107.96911512, 1134.29742192, 1119.18931213, 1130.67337233,\n",
      +       "        1108.63216386, 1108.92692131, 1115.10940669, 1108.07630888,\n",
      +       "        1132.65134296, 1115.12827431, 1127.53648366, 1125.84048153,\n",
      +       "        1111.86109445, 1135.58776482, 1121.31261893, 1134.59046118,\n",
      +       "        1112.67610151, 1105.5040499 , 1101.89339906, 1140.59996222,\n",
      +       "        1097.83621809, 1100.86097095, 1133.53219064, 1116.38087176,\n",
      +       "        1149.88220632, 1139.40927982, 1135.77053658, 1119.42788758,\n",
      +       "        1118.64452338, 1114.91997901, 1116.67989794, 1134.38907425,\n",
      +       "        1132.00366723, 1110.94500418, 1124.12808871, 1109.64757517,\n",
      +       "        1124.90816573, 1112.98538164, 1119.05596235, 1130.58317042,\n",
      +       "        1101.8403632 , 1126.75739402, 1123.58319899, 1126.0825908 ,\n",
      +       "        1107.26355178, 1108.46534448, 1133.76210425, 1112.97274831,\n",
      +       "        1114.01767089, 1114.08165543, 1103.18293058, 1122.2510899 ,\n",
      +       "        1110.32195145, 1117.02458512, 1116.70916542, 1100.21337481,\n",
      +       "        1100.21337481, 1133.79486941, 1126.51719083, 1132.8924872 ,\n",
      +       "        1123.63873189, 1118.13605266, 1130.79911042, 1133.95570067,\n",
      +       "        1112.50719421, 1112.67557738, 1131.22243124, 1121.30028951,\n",
      +       "        1124.49483018, 1086.64716297, 1110.74015067, 1114.57232459,\n",
      +       "        1117.72240103, 1103.52832424, 1132.94430183, 1103.883445  ,\n",
      +       "        1159.70037186, 1102.42681   , 1127.45459068, 1105.36045196,\n",
      +       "        1126.15156626, 1120.15297976, 1121.03577156, 1113.07481006,\n",
      +       "        1116.29668461, 1128.49963446, 1116.63161404, 1109.98570622,\n",
      +       "        1113.49758307, 1123.56998708, 1114.79462547, 1126.20411377,\n",
      +       "        1101.0422031 , 1101.89183529, 1132.34985474, 1137.95791644,\n",
      +       "        1114.0445863 , 1113.01813928, 1118.95859159, 1114.33945078,\n",
      +       "        1114.65509679, 1116.14974332, 1110.39939726, 1116.01708937,\n",
      +       "        1133.25321119, 1114.75839927, 1123.15308359, 1116.99671813,\n",
      +       "        1140.17393768, 1108.53152698, 1131.34957579, 1115.67635622,\n",
      +       "        1105.19950766, 1128.65797332, 1123.40687206, 1118.72686308,\n",
      +       "        1122.43959993, 1100.75447179, 1122.84340218, 1139.9430623 ,\n",
      +       "        1104.90537281, 1137.73753236, 1096.23558083, 1146.7235246 ,\n",
      +       "        1141.66024176, 1108.5790099 , 1123.35129414, 1123.12852796,\n",
      +       "        1131.59858789, 1103.57643026, 1120.49883459, 1109.67558809,\n",
      +       "        1124.53391949, 1122.98511542, 1085.72125181, 1104.10856422,\n",
      +       "        1101.71398067, 1126.01532286, 1111.54003031, 1087.01020552,\n",
      +       "        1131.75659536, 1118.07697828, 1122.29881449, 1135.37039794,\n",
      +       "        1106.69578324, 1099.05384646, 1124.84048758, 1119.28105818,\n",
      +       "        1120.78526214, 1106.29092626, 1136.27970125, 1116.49476347,\n",
      +       "        1134.21773137, 1137.60681884, 1136.28033953, 1102.12463884,\n",
      +       "        1105.59239514, 1099.34866697, 1108.05809338, 1105.14714719,\n",
      +       "        1109.36082519, 1118.94609644, 1113.38341265, 1125.70770269,\n",
      +       "        1107.16934633, 1106.5606421 , 1116.431058  , 1123.32774087,\n",
      +       "        1107.6244516 , 1128.61806113, 1134.73898821, 1131.04868037,\n",
      +       "        1119.82270769, 1113.85438104, 1113.85438104, 1125.64229685,\n",
      +       "        1116.74662686, 1116.74662686, 1131.45578477, 1130.04092159,\n",
      +       "        1111.17596175, 1094.4922322 , 1095.77914675, 1122.47393566],\n",
      +       "       [1088.16438936, 1117.09805909, 1112.59395323, 1114.08535109,\n",
      +       "        1096.92120961, 1125.30189214, 1129.26630745, 1134.24622657,\n",
      +       "        1103.79263457, 1120.17868295, 1103.05159002, 1087.90478999,\n",
      +       "        1126.30886778, 1128.41920856, 1110.74139198, 1128.73338854,\n",
      +       "        1116.49180078, 1125.77440332, 1118.07035644, 1138.56457714,\n",
      +       "        1101.24354412, 1096.70808553, 1100.34616578, 1110.68031042,\n",
      +       "        1127.76445501, 1129.00555188, 1134.41157613, 1098.43098509,\n",
      +       "        1097.5663753 , 1123.32891256, 1108.00321459, 1098.49215658,\n",
      +       "        1098.49215658, 1119.86749459, 1117.87449285, 1117.87449285,\n",
      +       "        1104.93197771, 1100.73308288, 1122.69788843, 1123.97897693,\n",
      +       "        1079.9696423 , 1089.76240748, 1110.68487811, 1101.44379649,\n",
      +       "        1119.63880752, 1124.40542679, 1096.09705712, 1098.92445412,\n",
      +       "        1136.8783259 , 1138.35862436, 1138.96697889, 1086.3123686 ,\n",
      +       "        1094.57527037, 1120.92839552, 1126.81190459, 1121.91110576,\n",
      +       "        1120.56999522, 1115.94311348, 1130.78781343, 1081.71365257,\n",
      +       "        1145.93257924, 1083.49301272, 1120.71999339, 1137.30945043,\n",
      +       "        1118.35685368, 1129.68519058, 1099.87716431, 1135.05590691,\n",
      +       "        1113.650919  , 1113.6694355 , 1103.63001231, 1120.68678093,\n",
      +       "        1098.62407254, 1129.54197866, 1106.20024784, 1138.40371352,\n",
      +       "        1095.41450552, 1124.52243373, 1124.52243373, 1109.81858004,\n",
      +       "        1118.25881531, 1109.18263551, 1111.32040154, 1121.19218662,\n",
      +       "        1089.69837192, 1136.88824585, 1125.28532661, 1125.91555464,\n",
      +       "        1113.5691663 , 1128.19263869, 1122.08248982, 1130.17535302,\n",
      +       "        1118.06817013, 1117.06727206, 1124.40534936, 1124.40534936,\n",
      +       "        1114.24846533, 1122.86201525, 1099.85462432, 1133.61264581,\n",
      +       "        1125.92114667, 1144.48117264, 1102.40932921, 1110.49523767,\n",
      +       "        1143.06892937, 1146.56585759, 1094.32030428, 1107.00951916,\n",
      +       "        1127.40619694, 1108.08646541, 1116.97435597, 1131.45893219,\n",
      +       "        1110.26075556, 1128.48730394, 1126.27853318, 1107.09688227,\n",
      +       "        1122.23904094, 1123.76515202, 1123.22244845, 1132.59783872,\n",
      +       "        1113.35950654, 1134.64066765, 1134.64066765, 1086.55891615,\n",
      +       "        1088.83271277, 1129.83991487, 1130.23721464, 1106.74859799,\n",
      +       "        1118.29895641, 1109.60456087, 1138.39344477, 1131.44814957,\n",
      +       "        1127.42527474, 1100.73524032, 1126.18140904, 1109.91618236,\n",
      +       "        1122.6107122 , 1099.27843581, 1096.30211746, 1121.00836737,\n",
      +       "        1091.29217107, 1099.74483212, 1094.79718271, 1086.18685197,\n",
      +       "        1128.38930878, 1128.75598343, 1106.26171875, 1133.78047779,\n",
      +       "        1126.69901708, 1126.69901708, 1110.71405871, 1135.42184657,\n",
      +       "        1102.78993629, 1119.9939763 , 1112.00482868, 1131.22066787,\n",
      +       "        1100.13755201, 1154.15392246, 1104.51128262, 1094.61702049,\n",
      +       "        1097.61861095, 1086.40583663, 1056.73443208, 1157.62117219,\n",
      +       "        1139.45753544, 1110.93401283, 1127.46661826, 1115.35974244,\n",
      +       "        1124.16918673, 1146.15597288, 1129.22414675, 1127.850982  ,\n",
      +       "        1132.6048617 , 1118.02656531, 1102.6526029 , 1112.56606075,\n",
      +       "        1101.86059392, 1132.78398779, 1118.56339495, 1126.192716  ,\n",
      +       "        1116.57368165, 1115.40750334, 1130.5658331 , 1128.88406888,\n",
      +       "        1096.89483931, 1123.03668826, 1113.71743039, 1116.19735964,\n",
      +       "        1116.19735964, 1122.7514641 , 1103.91276925, 1139.19099264,\n",
      +       "        1121.32568431, 1119.20718281, 1107.31275114, 1126.29889746,\n",
      +       "        1151.28676126, 1153.37467108, 1160.11597246, 1153.07859448],\n",
      +       "       [1106.88028921, 1140.40706643, 1131.3262438 , 1132.18968318,\n",
      +       "        1136.52042231, 1122.11727602, 1100.57922588, 1108.24458377,\n",
      +       "        1128.631052  , 1137.05638357, 1098.87988433, 1130.47032868,\n",
      +       "        1096.12168218, 1102.25709064, 1129.03700608, 1137.90126124,\n",
      +       "        1105.02297429, 1142.76566881, 1153.0772978 , 1130.01159829,\n",
      +       "        1116.70083388, 1113.91844364, 1113.13172322, 1100.45730531,\n",
      +       "        1132.24604889, 1127.67110149, 1103.31203035, 1113.25267419,\n",
      +       "        1121.24875337, 1106.98626303, 1091.87094859, 1139.84716299,\n",
      +       "        1109.62212834, 1123.38107768, 1123.83472544, 1120.25538512,\n",
      +       "        1110.76673748, 1108.07154303, 1102.86675159, 1112.11421994,\n",
      +       "        1111.472349  , 1094.26412727, 1094.26412727, 1127.55707941,\n",
      +       "        1114.73473898, 1132.44685409, 1114.1585464 , 1121.48254709,\n",
      +       "        1100.60702129, 1094.74018832, 1095.58048569, 1109.15048638,\n",
      +       "        1116.55747984, 1116.55747984, 1104.64099003, 1081.88849265,\n",
      +       "        1108.03373309, 1113.11343056, 1116.91711723, 1101.61679648,\n",
      +       "        1135.5591423 , 1121.1562546 , 1122.19802214, 1099.45087068,\n",
      +       "        1133.07639223, 1100.60842246, 1095.78243508, 1104.72527584,\n",
      +       "        1122.30742932, 1124.51537935, 1124.51537935, 1093.8469091 ,\n",
      +       "        1114.44135641, 1126.44998294, 1120.8371777 , 1119.27290765,\n",
      +       "        1116.11187277, 1123.07546218, 1111.92996123, 1111.73474614,\n",
      +       "        1123.69248749, 1099.0178869 , 1120.24334357, 1150.22568793,\n",
      +       "        1157.51296053, 1089.24285808, 1114.18056843, 1109.50347418,\n",
      +       "        1133.67983412, 1116.24603626, 1139.25205893, 1092.84044221,\n",
      +       "        1134.65306341, 1128.14116803, 1116.84896822, 1105.86627604,\n",
      +       "        1125.96298565, 1119.83088654, 1115.26527043, 1107.05755597,\n",
      +       "        1094.23468928, 1090.13894887, 1136.03963161, 1122.22742268,\n",
      +       "        1132.38357072, 1111.11264911, 1117.11868907, 1119.05541336,\n",
      +       "        1118.00346006, 1120.365997  , 1129.59781999, 1111.29211412,\n",
      +       "        1101.39079008, 1112.94585386, 1131.54294361, 1099.15246427,\n",
      +       "        1149.64987576, 1106.68224414, 1106.68224414, 1143.05048574,\n",
      +       "        1111.64511587, 1098.39017401, 1118.70931879, 1116.56198311,\n",
      +       "        1103.88457767, 1121.99193441, 1121.99193441, 1102.23016856,\n",
      +       "        1115.40370694, 1115.19380634, 1113.05418948, 1110.84522637,\n",
      +       "        1142.28430881, 1127.8381315 , 1168.35648046, 1095.91321185,\n",
      +       "        1129.4723622 , 1108.74094682, 1147.43597493, 1108.96237805,\n",
      +       "        1107.99426792, 1100.68177957, 1122.89001998, 1122.89001998,\n",
      +       "        1103.31083207, 1121.44810364, 1118.98269926, 1109.97905422,\n",
      +       "        1103.16035009, 1108.30766912, 1132.54313094, 1123.67612451,\n",
      +       "        1123.67612451, 1134.25307258, 1117.94787029, 1121.49277551,\n",
      +       "        1125.45967628, 1101.87735891, 1110.35664298, 1104.36571539,\n",
      +       "        1114.92245567, 1122.85016129, 1113.72601381, 1130.82497037,\n",
      +       "        1117.98835741, 1067.52087961, 1070.0460804 , 1134.33103863,\n",
      +       "        1108.3810005 , 1134.92674817, 1117.11039859, 1114.85786281,\n",
      +       "        1136.62879691, 1122.93602351, 1119.13998426, 1108.85274584,\n",
      +       "        1118.40517034, 1110.79981045, 1134.67261302, 1084.59060511,\n",
      +       "        1145.91713385, 1109.910256  , 1124.69757079, 1124.69757079,\n",
      +       "        1112.8743858 , 1107.31314583, 1137.03105706, 1113.64791343,\n",
      +       "        1106.24446398, 1136.18849488, 1139.29626313, 1145.46885142,\n",
      +       "        1107.99418586, 1131.38329408, 1123.43012835, 1118.50791871,\n",
      +       "        1111.54454781, 1139.95489623, 1114.61865108, 1116.85996437],\n",
      +       "       [1109.1538436 , 1122.21724746, 1104.91400428, 1113.63621997,\n",
      +       "        1136.93349787, 1112.56582727, 1114.3968116 , 1105.20762157,\n",
      +       "        1116.97839039, 1108.51812184, 1137.33256433, 1086.97169645,\n",
      +       "        1089.80716243, 1105.02111055, 1105.49637233, 1099.3962609 ,\n",
      +       "        1141.57289303, 1137.74664262, 1111.76047996, 1103.1362956 ,\n",
      +       "        1109.13871067, 1113.56529985, 1135.52283371, 1129.69652731,\n",
      +       "        1092.7385011 , 1108.2702687 , 1104.34679179, 1095.56768038,\n",
      +       "        1133.63864331, 1137.60253257, 1115.52376498, 1091.40493253,\n",
      +       "        1102.57237373, 1139.06043196, 1099.4274825 , 1108.81679982,\n",
      +       "        1139.26779514, 1103.34850022, 1131.57798044, 1107.42602093,\n",
      +       "        1100.7248157 , 1128.40147436, 1151.80897527, 1117.5889645 ,\n",
      +       "        1120.06860731, 1122.68175996, 1073.24724406, 1082.65103536,\n",
      +       "        1142.11806953, 1085.64088316, 1100.86244488, 1137.94415584,\n",
      +       "        1099.03947399, 1111.15772132, 1131.23390901, 1117.03607633,\n",
      +       "        1123.01977323, 1121.27019591, 1137.33173148, 1095.21559347,\n",
      +       "        1119.15777044, 1104.73407284, 1095.79584519, 1096.36584967,\n",
      +       "        1078.59797451, 1080.56477452, 1112.36952947, 1125.02652015,\n",
      +       "        1127.69184318, 1111.20738153, 1121.80746114, 1106.22867306,\n",
      +       "        1095.29006974, 1135.46547596, 1110.041493  , 1106.63954033,\n",
      +       "        1119.31722905, 1124.81988794, 1124.57378277, 1116.28115604,\n",
      +       "        1123.62532181, 1092.42639315, 1101.72671115, 1095.62302367,\n",
      +       "        1089.02945471, 1106.33628312, 1106.51389528, 1114.56083169,\n",
      +       "        1103.08138487, 1142.18995118, 1135.26412588, 1123.39424523,\n",
      +       "        1097.62590715, 1133.01767342, 1105.39140653, 1127.1603131 ,\n",
      +       "        1134.38412654, 1111.30814891, 1116.72770716, 1137.09074381,\n",
      +       "        1129.28410245, 1139.71608294, 1114.60452852, 1115.42658483,\n",
      +       "        1135.32245156, 1105.53905599, 1126.11020343, 1123.0119746 ,\n",
      +       "        1116.97825625, 1103.91160822, 1116.80061812, 1114.63740175,\n",
      +       "        1134.91916267, 1113.12235748, 1119.63564958, 1111.20916118,\n",
      +       "        1134.28262476, 1144.58494043, 1141.8462003 , 1145.60817417,\n",
      +       "        1143.99799124, 1146.63362446, 1118.9504177 , 1106.69197844,\n",
      +       "        1127.34263934, 1123.77470178, 1095.87867093, 1096.62065295,\n",
      +       "        1115.22250981, 1126.10134494, 1116.85198637, 1119.61792688,\n",
      +       "        1118.75124642, 1121.09400491, 1131.44705299, 1127.8269649 ,\n",
      +       "        1126.52627701, 1099.4795094 , 1111.08289813, 1110.41487236,\n",
      +       "        1117.73807086, 1127.11549574, 1105.80672363, 1117.75096897,\n",
      +       "        1108.98212599, 1127.50453935, 1127.69279463, 1112.3324873 ,\n",
      +       "        1132.91938023, 1115.0106876 , 1118.934262  , 1110.58517367,\n",
      +       "        1133.75048142, 1110.89470314, 1136.90476215, 1114.02451532,\n",
      +       "        1119.55232808, 1083.60995977, 1133.39600321, 1111.11139488,\n",
      +       "        1124.58240884, 1113.84711879, 1136.13219806, 1110.15003418,\n",
      +       "        1120.11069617, 1114.70963708, 1122.45915318, 1085.32086164,\n",
      +       "        1148.0726348 , 1125.83512909, 1131.88281864, 1140.56842378,\n",
      +       "        1127.93906157, 1136.57986105, 1109.65539938, 1111.96524672,\n",
      +       "        1095.99983318, 1130.61158144, 1123.46798207, 1116.93921055,\n",
      +       "        1130.96564547, 1096.97289609, 1098.15017252, 1132.50195472,\n",
      +       "        1102.56747309, 1116.03684027, 1125.94171337, 1128.16358043,\n",
      +       "        1119.19475036, 1120.68174694, 1116.06589772, 1120.23466982,\n",
      +       "        1116.9385054 , 1113.48300333, 1116.02482739, 1126.63534877,\n",
      +       "        1128.49107857, 1119.19997632, 1104.61708985, 1129.68432961]])
  • created_at :
    2019-11-17T20:56:09.931747
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, draw: 200)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 192 193 194 195 196 197 198 199\n", + "Data variables:\n", + " b0 (chain, draw) float64 -3.04 15.18 0.7325 ... 0.744 13.07 -6.569\n", + " b1 (chain, draw) float64 99.58 62.15 92.96 67.5 ... 81.02 71.53 92.44\n", + " sigma (chain, draw) float64 1.11e+03 1.126e+03 ... 1.105e+03 1.13e+03\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:09.931747\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • developer: 5
    • draw: 200
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 195 196 197 198 199
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,\n",
      +       "       154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,\n",
      +       "       168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,\n",
      +       "       182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,\n",
      +       "       196, 197, 198, 199])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • energy_error
      (chain, draw)
      float64
      0.5124 -0.2888 ... 0.07027 0.1273
      array([[ 5.12428639e-01, -2.88768664e-01, -7.63746630e-02,\n",
      +       "        -2.58698360e-02,  1.86101797e-02,  4.73322734e-02,\n",
      +       "        -1.12148531e-01,  2.43830081e-01, -4.41512548e-01,\n",
      +       "         4.45700897e-02, -5.17995817e-03,  7.77695416e-04,\n",
      +       "         0.00000000e+00,  1.18346053e+00, -4.22081486e-01,\n",
      +       "        -4.91769374e-01, -2.53576023e-01,  1.43607820e-01,\n",
      +       "        -1.98607613e-02, -8.34292566e-02,  4.55500106e-02,\n",
      +       "         2.63016070e-03,  8.32791507e-02,  5.67272625e-01,\n",
      +       "        -7.19870745e-01, -8.51404852e-02, -1.54182873e-03,\n",
      +       "         2.02068239e-01,  1.05362084e-01,  3.21695972e-01,\n",
      +       "        -5.27608975e-01,  9.86524817e-02, -8.40648018e-02,\n",
      +       "         1.96203026e-01, -2.31579329e-01,  1.10512156e-01,\n",
      +       "        -1.90950459e-02, -1.43465343e-02,  1.12886600e-01,\n",
      +       "        -2.39106071e-01,  7.61096670e-01, -3.59838783e-01,\n",
      +       "        -2.78873111e-01, -2.12929456e-01, -2.73086692e-03,\n",
      +       "         3.79205285e-01,  1.27065889e-01,  2.47385613e-01,\n",
      +       "        -4.55569149e-01,  8.26245461e-02,  1.31090059e-01,\n",
      +       "        -8.55413757e-02,  1.80951851e-01, -1.63296160e-01,\n",
      +       "         8.07220851e-02, -3.67797814e-01,  5.38342164e-01,\n",
      +       "         2.69707235e-03, -5.61951048e-01,  1.14879190e-01,\n",
      +       "         2.36428420e-01, -2.01023546e-01,  4.04339605e-02,\n",
      +       "        -2.00262789e-01, -7.43557860e-02,  7.74874265e-02,\n",
      +       "        -3.12671115e-02,  3.96960599e-01, -1.97949630e-01,\n",
      +       "         1.51409487e-01, -1.23027075e-01, -1.43429078e-01,\n",
      +       "         0.00000000e+00,  6.65510841e-01, -3.99518848e-02,\n",
      +       "        -6.03012204e-01,  2.71871985e-02,  8.26651811e-03,\n",
      +       "         7.28250326e-02,  3.38815735e-02, -2.27052212e-01,\n",
      +       "        -6.80058618e-02,  1.07951348e-01, -5.61490960e-02,\n",
      +       "         4.19802313e-01,  6.88843900e-01, -6.93109195e-01,\n",
      +       "        -1.26650856e-01, -2.38700284e-01,  2.74235102e-02,\n",
      +       "         1.01901748e-01,  1.43237295e-01,  4.91581473e-01,\n",
      +       "        -7.73523665e-01,  1.27137721e-01, -1.05280377e-01,\n",
      +       "        -6.81110193e-02, -8.47492876e-02,  1.60342779e-02,\n",
      +       "         9.08904143e-03,  5.02541904e-02,  2.03290607e-01,\n",
      +       "        -1.73249565e-01,  4.89572556e-02, -1.38128390e-01,\n",
      +       "         7.25640833e-02, -5.27711565e-02,  6.25467702e-02,\n",
      +       "         3.25964952e-01, -2.30950213e-01,  1.05332598e-01,\n",
      +       "         2.43064769e-01, -1.86787440e-01, -2.09006707e-01,\n",
      +       "         8.88151062e-02,  1.39765579e-01, -3.27726697e-01,\n",
      +       "        -1.81446436e-02,  2.44214177e-02,  1.56897230e-01,\n",
      +       "         5.16062875e-02,  1.15894604e-01, -1.30808698e-01,\n",
      +       "        -1.93850884e-01,  2.15459143e-01,  1.28771573e-01,\n",
      +       "         5.17810780e-01,  3.22424791e-01, -9.89229340e-01,\n",
      +       "        -1.74272588e-01,  2.61944349e-01, -2.61717237e-01,\n",
      +       "        -1.98443692e-02,  1.96508196e-01,  5.04279758e-01,\n",
      +       "        -3.58778196e-01, -1.40578477e-01,  8.51567521e-02,\n",
      +       "        -4.00646188e-02,  2.55442753e-01, -2.54182868e-01,\n",
      +       "        -1.77657940e-01,  9.42947893e-02,  1.05991462e-01,\n",
      +       "        -2.02147208e-02, -1.25429274e-01,  1.44571846e-01,\n",
      +       "        -2.22377949e-01, -4.04877131e-03,  3.02334281e-01,\n",
      +       "         2.84196480e-01, -1.14127908e-01, -1.09106755e-01,\n",
      +       "         9.50954744e-01, -9.52103077e-01,  2.30791512e-02,\n",
      +       "         2.86963590e-02, -4.70391961e-01,  2.54151763e-01,\n",
      +       "         1.88909224e-01, -3.43923659e-01,  1.20499867e-01,\n",
      +       "         2.50582149e-02,  1.90778454e-01, -1.66731415e-01,\n",
      +       "         1.21395477e-01,  2.82852461e-01, -1.37557191e-01,\n",
      +       "        -6.90585619e-02, -1.99577891e-01,  7.70047885e-02,\n",
      +       "         1.03844392e-01, -2.66118428e-02,  1.66808417e-02,\n",
      +       "        -2.77859645e-01,  2.22827239e-01, -3.53972399e-01,\n",
      +       "         3.24888784e-02,  6.58679559e-02,  8.50273541e-02,\n",
      +       "        -1.07367981e-01, -3.56336860e-02,  4.22095135e-02,\n",
      +       "        -7.88862795e-02,  1.38696329e-01,  7.46302955e-01,\n",
      +       "        -3.79302667e-01, -1.11894684e-01, -1.94693150e-01,\n",
      +       "        -1.89722666e-01,  0.00000000e+00,  1.85558988e-01,\n",
      +       "         3.16461825e-01,  0.00000000e+00,  6.36816255e-01,\n",
      +       "        -6.06889406e-01, -2.08589550e-01, -7.68211935e-02,\n",
      +       "        -7.49742399e-02,  5.13870673e-02],\n",
      +       "       [ 3.89044387e-01, -8.94819605e-01,  3.36807634e-03,\n",
      +       "        -2.04145653e-01,  1.55038492e-01, -1.56413379e-01,\n",
      +       "         2.91407791e-01,  3.45109533e-01, -4.76516525e-01,\n",
      +       "         2.36945516e-02, -8.32071254e-02,  2.83191988e-01,\n",
      +       "        -2.05919679e-01,  4.64972267e-01, -2.59917909e-02,\n",
      +       "         1.59110641e-01, -6.80071071e-01,  3.52227161e-01,\n",
      +       "         8.86670343e-02, -3.54458723e-01,  1.91856820e-01,\n",
      +       "        -1.89152676e-02, -2.24993009e-01, -3.85428363e-03,\n",
      +       "         5.20257273e-02, -1.80504861e-01,  2.24228197e-01,\n",
      +       "         3.37756902e-02, -1.25600487e-01, -1.63188979e-01,\n",
      +       "         2.35332684e-01,  9.06070031e-03,  0.00000000e+00,\n",
      +       "        -1.37443770e-01, -1.31095225e-01,  0.00000000e+00,\n",
      +       "         9.33397767e-02,  1.07951032e-01, -1.08932951e-01,\n",
      +       "         1.91664657e-01,  4.12869005e-01, -2.30335685e-02,\n",
      +       "        -4.30106847e-01,  1.96414949e-01,  4.96252104e-01,\n",
      +       "         3.50214477e-02, -2.22839786e-01, -1.18644742e-01,\n",
      +       "        -2.24697536e-01,  1.86653552e-01, -2.96163390e-01,\n",
      +       "         3.72358145e-01, -4.00164994e-01,  8.45285910e-02,\n",
      +       "        -1.27427889e-01,  3.42350781e-01, -3.48123922e-01,\n",
      +       "         6.66597122e-02,  1.89218530e-01,  2.06248767e-01,\n",
      +       "        -2.61578486e-01,  2.17384369e-01, -1.31365069e-01,\n",
      +       "        -3.27250944e-01, -8.82671024e-02,  3.84835653e-02,\n",
      +       "         2.70533913e-02, -5.27525323e-03, -1.48074282e-01,\n",
      +       "         1.92858310e-02,  1.95215016e-01,  3.59526116e-01,\n",
      +       "         9.27837630e-02, -4.19891523e-02, -4.87080017e-01,\n",
      +       "         6.73266351e-02,  2.27372149e-01,  2.40619278e-01,\n",
      +       "         0.00000000e+00,  4.99099247e-02, -4.95406454e-01,\n",
      +       "         3.59287772e-01, -3.78398999e-01,  8.43524629e-02,\n",
      +       "         6.18818467e-02, -1.51356603e-01, -2.15833660e-01,\n",
      +       "         7.22178580e-02,  4.97890978e-02,  1.15446228e-04,\n",
      +       "         8.69763790e-02,  2.03181180e-01, -3.53802235e-01,\n",
      +       "        -1.95227538e-02, -7.55146737e-03,  0.00000000e+00,\n",
      +       "         5.12075028e-03, -3.33096506e-03,  1.46242751e-01,\n",
      +       "         5.98880580e-02, -1.01018195e-01,  2.65207296e-01,\n",
      +       "         1.31714923e-01, -5.27503214e-01,  5.39951706e-01,\n",
      +       "        -1.46011771e-02, -1.46067391e-01, -3.49804899e-01,\n",
      +       "         3.67365281e-02, -5.73178761e-02, -2.89954571e-02,\n",
      +       "         6.68824270e-02, -5.75861120e-02,  2.81125473e-01,\n",
      +       "        -8.19452973e-02,  8.50769929e-02, -1.64864842e-01,\n",
      +       "         1.79056596e-02,  3.25528383e-02, -5.38792324e-02,\n",
      +       "        -8.29089615e-02,  6.83496979e-02,  0.00000000e+00,\n",
      +       "         4.54393418e-01,  6.44377275e-01, -1.12148515e+00,\n",
      +       "        -1.81826288e-02,  8.38406289e-02, -8.86366882e-02,\n",
      +       "         4.34474027e-03,  1.00194009e-01, -8.82065091e-02,\n",
      +       "         2.78809386e-02,  1.45060956e-01, -1.24258749e-01,\n",
      +       "        -1.04197946e-02, -4.97676322e-02,  1.35033303e-01,\n",
      +       "         2.24394032e-01, -2.06395653e-01,  2.90797291e-01,\n",
      +       "        -2.58274465e-01,  3.40839214e-01,  5.41427204e-01,\n",
      +       "        -8.86196943e-01,  4.09602445e-01, -4.50302082e-01,\n",
      +       "        -8.86432530e-04,  3.37788820e-02,  0.00000000e+00,\n",
      +       "         3.23850069e-02, -2.27281213e-02,  1.01355683e-02,\n",
      +       "        -1.48062437e-01, -9.23764758e-02,  2.66174409e-01,\n",
      +       "         2.38949727e-01,  3.01952466e-01, -1.54518177e-01,\n",
      +       "        -3.74182930e-01, -1.92019798e-01,  3.73112490e-01,\n",
      +       "         1.49012684e+00, -1.29842853e+00, -4.66350760e-01,\n",
      +       "        -2.35696684e-01,  3.13971071e-01, -1.87592227e-01,\n",
      +       "        -8.87777470e-02,  3.62405396e-01,  4.47350648e-01,\n",
      +       "         3.36305837e-01, -8.08477249e-01, -2.21630695e-01,\n",
      +       "         1.46271127e-01, -1.61818242e-02, -1.00814907e-01,\n",
      +       "        -6.78225898e-02, -1.54323886e-01,  1.62215098e-01,\n",
      +       "         7.98676377e-01, -7.28978395e-01,  1.81574378e-01,\n",
      +       "        -2.67379671e-01,  1.12804271e+00, -5.93160320e-01,\n",
      +       "        -1.17621602e-01, -4.11664696e-01,  0.00000000e+00,\n",
      +       "         2.42143423e-02,  4.55402206e-01, -3.89373197e-01,\n",
      +       "        -2.74293340e-02,  9.28280439e-02, -2.16072483e-01,\n",
      +       "        -5.38922992e-02,  5.69447763e-01,  1.20972747e-01,\n",
      +       "         9.30120655e-02, -3.02172145e-01],\n",
      +       "       [-2.12276101e-01,  2.92351077e-01, -2.89997684e-01,\n",
      +       "         1.89135409e-01, -3.49280747e-01, -4.52998945e-02,\n",
      +       "         3.65057226e-02, -5.16385576e-02, -3.15243039e-02,\n",
      +       "         3.04148829e-01,  1.54043509e-01, -3.26242690e-01,\n",
      +       "         8.91568259e-02,  6.45192009e-03, -1.36759390e-01,\n",
      +       "         7.20310272e-01, -5.20189105e-01,  1.57778452e-01,\n",
      +       "        -1.71392728e-02, -4.04567711e-01, -1.16788772e-02,\n",
      +       "        -1.74333069e-02, -4.81732591e-04,  2.35454078e-01,\n",
      +       "        -1.82528087e-01,  2.94175995e-01, -3.14998361e-01,\n",
      +       "        -3.20814518e-02,  3.20371641e-01, -2.61504087e-01,\n",
      +       "         2.40236981e-01,  1.37058751e-02, -2.35241127e-01,\n",
      +       "         9.27474986e-02, -7.40724565e-03,  3.23748382e-01,\n",
      +       "        -2.42901075e-01, -2.59467725e-01,  1.01194265e-01,\n",
      +       "         1.79047194e-02,  1.99190656e-01, -7.70343668e-02,\n",
      +       "         0.00000000e+00, -3.61173048e-02, -8.50899491e-02,\n",
      +       "         1.75598451e-01,  4.37506658e-01, -1.82080881e-01,\n",
      +       "        -5.20819435e-01,  2.83015169e-01, -1.79548843e-01,\n",
      +       "         2.93470359e-02, -1.39376469e-01,  0.00000000e+00,\n",
      +       "         3.27623786e-01,  3.73189644e-01, -3.47378748e-01,\n",
      +       "        -1.22970903e-01, -1.61461105e-01,  1.16339146e-01,\n",
      +       "         4.39664390e-01, -4.24989832e-01,  4.67882891e-02,\n",
      +       "         1.57491516e-01,  2.34779042e-01,  3.16938917e-01,\n",
      +       "        -8.92758917e-01, -1.89990947e-02, -1.32616386e-01,\n",
      +       "         9.07038303e-03,  0.00000000e+00,  4.50648700e-01,\n",
      +       "        -2.52107871e-01, -3.14804332e-02,  2.70074550e-02,\n",
      +       "        -9.18357979e-02,  5.99254825e-02, -1.51139536e-01,\n",
      +       "         3.30602580e-01, -3.09091005e-01,  2.44343368e-01,\n",
      +       "        -9.11881511e-02,  1.58318408e-01,  3.10653534e-01,\n",
      +       "        -1.35359347e-01, -2.25314083e-01, -2.60865531e-01,\n",
      +       "         3.51436935e-01, -2.36389540e-01, -1.16786210e-01,\n",
      +       "         2.97849872e-01,  3.49433084e-01, -5.25516336e-01,\n",
      +       "        -1.21579414e-01, -2.30931886e-02,  3.61100173e-01,\n",
      +       "        -4.05372870e-02,  9.38857307e-02,  2.65641338e-02,\n",
      +       "         1.33306383e-01, -3.80129128e-01,  2.17498344e-01,\n",
      +       "        -2.75944437e-01,  5.39318147e-02, -2.84457006e-02,\n",
      +       "        -9.53523931e-03, -1.83100761e-01,  3.92606790e-03,\n",
      +       "         1.96581839e-01, -1.66250058e-01,  2.11738987e-02,\n",
      +       "         7.57775281e-01, -7.02553294e-01, -6.15813552e-02,\n",
      +       "         1.32210061e-01,  2.46148071e-02,  2.95924469e-01,\n",
      +       "         1.99246064e-01,  0.00000000e+00,  3.04326039e-01,\n",
      +       "        -3.99201254e-01, -2.15896909e-01, -2.14186849e-01,\n",
      +       "         4.54819866e-02,  1.46585192e-02,  2.18754601e-01,\n",
      +       "         0.00000000e+00, -3.78618221e-02, -2.67210563e-01,\n",
      +       "         8.10685189e-02, -1.18985767e-01, -2.43478144e-02,\n",
      +       "         2.13116007e-01,  4.45064201e-01,  2.53300593e-01,\n",
      +       "        -5.03689575e-01,  7.33397868e-02,  4.74591939e-02,\n",
      +       "        -7.46036109e-02, -4.18654294e-01,  3.28839914e-02,\n",
      +       "         4.44295583e-02, -1.50059807e-01,  0.00000000e+00,\n",
      +       "         1.20486922e-01, -9.66184504e-02,  3.27844831e-02,\n",
      +       "         1.93982701e-01,  1.62407341e-01, -1.53580893e-01,\n",
      +       "        -1.80805604e-01,  1.32511903e-01,  0.00000000e+00,\n",
      +       "        -2.07622158e-02, -1.94109496e-01,  2.20522738e-01,\n",
      +       "        -1.33917395e-02,  1.02220619e-01,  2.51345928e-01,\n",
      +       "        -6.80429790e-02, -2.82983338e-01, -9.08797552e-02,\n",
      +       "         2.96223444e-01, -1.57558362e-01, -1.30966912e-02,\n",
      +       "         8.19237830e-01, -7.34516311e-02, -3.65880140e-01,\n",
      +       "        -4.97616604e-01, -1.96487391e-02, -1.17251633e-01,\n",
      +       "         3.05282416e-02,  1.50969050e-01, -1.01030670e-01,\n",
      +       "        -2.06933940e-02,  4.99552289e-01, -4.38711605e-01,\n",
      +       "        -4.44134095e-02,  4.27087728e-01,  1.28480783e-01,\n",
      +       "        -2.01631692e-01, -4.20022129e-01, -4.86821182e-03,\n",
      +       "         0.00000000e+00,  1.71854648e-01,  1.95360711e-01,\n",
      +       "        -2.46567453e-01,  3.29751039e-02, -1.18517077e-01,\n",
      +       "         1.17605359e-01,  1.49179551e-01,  1.56712039e-01,\n",
      +       "        -1.21622641e-01,  7.30182905e-01, -5.79675003e-01,\n",
      +       "        -4.06988429e-01,  8.45668239e-02,  3.24730518e-01,\n",
      +       "        -3.18483105e-01,  5.11209125e-02],\n",
      +       "       [-1.19998442e-01, -1.77807489e-02,  3.09533252e-02,\n",
      +       "        -4.12442078e-03, -6.01231008e-03, -3.53886111e-02,\n",
      +       "         4.96196599e-03, -1.21609611e-02,  9.80214821e-02,\n",
      +       "         8.48108519e-02, -1.29665874e-01,  1.10076575e-01,\n",
      +       "        -3.10769139e-02, -2.77925314e-02, -9.58605508e-02,\n",
      +       "         4.00651016e-02,  8.41585031e-02,  4.57898853e-02,\n",
      +       "        -2.01586787e-01,  5.00300261e-02,  8.20296505e-03,\n",
      +       "        -4.91703067e-02,  1.44860306e-01, -2.05427188e-02,\n",
      +       "         3.75757405e-01, -4.43744549e-01,  7.97680234e-02,\n",
      +       "        -2.11202510e-02,  3.68440222e-03,  3.28537984e-01,\n",
      +       "        -3.15868779e-01,  2.77828173e-02, -1.17644572e-01,\n",
      +       "         1.02200613e-01,  6.15026999e-03, -4.23760489e-02,\n",
      +       "         1.99951771e-01, -2.65963720e-01,  1.35693742e-02,\n",
      +       "        -1.75719120e-02, -1.32659566e-03,  1.07499955e-02,\n",
      +       "         2.64544127e-01, -2.88127936e-01, -3.35142633e-02,\n",
      +       "         4.14588163e-02,  3.45147159e-01, -1.55541382e-01,\n",
      +       "        -1.28753953e-01,  8.16148032e-02, -4.66442983e-02,\n",
      +       "         2.39605320e-02, -7.71357185e-03, -1.25160704e-01,\n",
      +       "         1.20967570e-02, -2.66004019e-02,  1.45403800e-02,\n",
      +       "         7.10430434e-02, -3.09809395e-02,  1.34073581e-01,\n",
      +       "        -1.28074383e-01,  7.00475207e-02,  3.39905679e-02,\n",
      +       "        -5.16704929e-02,  1.43451526e-01, -3.13093541e-02,\n",
      +       "        -2.32160012e-01,  2.65838801e-02, -2.75282146e-02,\n",
      +       "         1.34810727e-02, -1.66675585e-02,  1.34872771e-02,\n",
      +       "         8.19721944e-02,  5.46290245e-02, -8.33969792e-02,\n",
      +       "         1.20545547e-01, -9.07472721e-02, -1.05813039e-01,\n",
      +       "        -1.54980067e-03,  1.91738078e-03,  1.60329525e-02,\n",
      +       "         1.26337214e-01, -6.62758420e-02,  4.61825971e-02,\n",
      +       "         6.07043179e-02, -1.45461378e-01, -6.91958572e-03,\n",
      +       "        -3.85598800e-02,  6.08459779e-02,  3.07713505e-01,\n",
      +       "        -1.85740396e-01, -1.55608865e-01,  4.74944342e-02,\n",
      +       "        -1.86767607e-02,  8.64201589e-02,  2.15310907e-02,\n",
      +       "        -4.29394039e-02, -1.32088730e-02, -3.21868873e-02,\n",
      +       "        -4.63661597e-03, -3.93413854e-02,  1.10238545e-01,\n",
      +       "        -6.14864328e-02,  2.92854120e-02,  4.08900013e-02,\n",
      +       "        -9.21858916e-02, -4.37090263e-02,  2.03631233e-02,\n",
      +       "         5.99553912e-03,  3.29645734e-01, -2.29347862e-01,\n",
      +       "        -1.55888594e-03, -4.97994586e-02, -8.71148797e-02,\n",
      +       "         4.55907735e-02, -2.38329939e-03,  1.98324126e-02,\n",
      +       "         2.16120276e-01, -3.16226469e-02, -3.25709866e-02,\n",
      +       "         2.80767937e-04,  2.14628982e-01, -3.66873843e-01,\n",
      +       "         9.42178147e-02, -1.22188504e-01,  1.84255432e-01,\n",
      +       "        -1.97490131e-03, -3.56113572e-03, -1.94538325e-01,\n",
      +       "        -7.37983416e-03, -4.91615542e-03,  4.45621007e-02,\n",
      +       "        -2.53033430e-02,  3.09066753e-02, -1.41548065e-02,\n",
      +       "        -2.86261626e-02,  3.66381590e-02,  1.68491879e-02,\n",
      +       "         2.72625727e-02, -3.56074043e-02, -5.02182986e-02,\n",
      +       "         7.29398314e-02,  7.85718141e-02,  1.69498563e-02,\n",
      +       "        -1.70409367e-01,  6.63014144e-03,  3.59123769e-02,\n",
      +       "        -1.81674757e-02,  1.55982973e-01, -1.35874463e-01,\n",
      +       "        -8.16790044e-03, -3.62838245e-02,  1.08533213e-01,\n",
      +       "        -3.56136902e-02,  7.83378266e-02, -1.15539830e-01,\n",
      +       "         8.42715758e-03,  2.02498874e-01, -1.93245627e-01,\n",
      +       "        -3.78985751e-02, -1.11350163e-02,  5.38164291e-03,\n",
      +       "         1.70617977e-01, -1.19500855e-01, -1.08673482e-02,\n",
      +       "        -6.03039676e-02,  9.49361221e-02,  3.16961861e-01,\n",
      +       "        -8.32423691e-02, -1.67919855e-01,  2.65477638e-01,\n",
      +       "        -1.95978955e-02, -2.07224589e-01, -5.79671889e-02,\n",
      +       "        -2.62699500e-03, -5.50807652e-02,  4.29355080e-03,\n",
      +       "        -4.20039246e-02, -4.33454139e-03,  2.02579257e-02,\n",
      +       "         4.35373081e-03,  7.07425377e-02,  9.53691023e-02,\n",
      +       "        -7.15859273e-02, -1.81278569e-02, -2.69299466e-02,\n",
      +       "        -9.70848215e-02,  1.77126616e-01, -1.42348378e-01,\n",
      +       "         3.82944399e-03, -1.51074107e-03,  1.24741567e-02,\n",
      +       "         4.12274906e-02,  7.61644751e-02, -1.86510181e-02,\n",
      +       "        -1.15822090e-01,  5.64336870e-02, -8.81186830e-02,\n",
      +       "         7.02694472e-02,  1.27286421e-01]])
    • mean_tree_accept
      (chain, draw)
      float64
      0.5318 1.0 0.9727 ... 0.9433 0.8357
      array([[0.53175594, 1.        , 0.97272515, 1.        , 0.89888394,\n",
      +       "        0.81094321, 0.53285275, 0.78362078, 0.8946003 , 0.7128553 ,\n",
      +       "        0.91292875, 0.95393935, 0.77789108, 0.30310433, 1.        ,\n",
      +       "        0.70133538, 1.        , 0.68527086, 1.        , 0.9454699 ,\n",
      +       "        0.88040807, 0.9973733 , 0.9320029 , 0.56706994, 1.        ,\n",
      +       "        0.98762025, 0.74694858, 0.84465936, 0.8637251 , 0.73808425,\n",
      +       "        1.        , 0.81165426, 0.87597552, 0.92622587, 0.98641091,\n",
      +       "        0.90097731, 0.92421073, 0.93058892, 0.82643306, 1.        ,\n",
      +       "        0.45358468, 1.        , 0.73084333, 0.97496236, 1.        ,\n",
      +       "        0.74761444, 0.91330409, 0.70518739, 1.        , 0.97356559,\n",
      +       "        0.92100155, 0.96714298, 0.83594152, 0.98324768, 0.92334741,\n",
      +       "        0.94903634, 0.58709046, 0.99910219, 0.96800652, 0.95422819,\n",
      +       "        0.80610488, 1.        , 0.66036253, 1.        , 0.76812699,\n",
      +       "        0.92543866, 0.98811218, 0.63436679, 0.95085802, 0.90071635,\n",
      +       "        1.        , 0.87851853, 0.46225453, 0.66513693, 1.        ,\n",
      +       "        1.        , 0.95931619, 0.99725585, 0.78688034, 0.95017116,\n",
      +       "        0.98214816, 0.76189239, 0.72906851, 1.        , 0.73325473,\n",
      +       "        0.75381609, 0.83532805, 0.96704537, 1.        , 0.58327512,\n",
      +       "        0.86053788, 0.82197658, 0.82984231, 0.80969042, 0.68405717,\n",
      +       "        0.94989863, 0.94068334, 0.98804442, 0.90642776, 0.9131467 ,\n",
      +       "        0.72896458, 0.88968379, 1.        , 0.92180685, 0.99562464,\n",
      +       "        0.95901172, 0.99331535, 0.89412796, 0.85134593, 1.        ,\n",
      +       "        0.90150669, 0.87820592, 0.86927801, 1.        , 0.93904382,\n",
      +       "        0.93043171, 0.92935135, 0.60141242, 0.90811926, 0.86083665,\n",
      +       "        0.81017814, 0.94632665, 1.        , 0.9946191 , 0.83458212,\n",
      +       "        0.83128875, 0.75215169, 0.8192102 , 0.9713103 , 0.55786908,\n",
      +       "        0.80865278, 0.90890994, 0.97502787, 0.83517822, 0.68532558,\n",
      +       "        1.        , 0.93553564, 0.87216973, 0.72041455, 0.8279191 ,\n",
      +       "        1.        , 0.83573257, 0.80682507, 0.94392785, 1.        ,\n",
      +       "        0.92075954, 0.83160961, 0.86749639, 1.        , 0.81655622,\n",
      +       "        0.89080329, 0.95083409, 1.        , 0.33371211, 1.        ,\n",
      +       "        0.78848472, 0.92940171, 1.        , 0.79239146, 0.64101133,\n",
      +       "        0.99905043, 0.88647721, 0.70553721, 0.89426712, 0.79161293,\n",
      +       "        0.88858694, 0.85010884, 0.67109071, 1.        , 1.        ,\n",
      +       "        0.83177871, 0.89681583, 1.        , 0.98345751, 1.        ,\n",
      +       "        0.89281213, 0.94482078, 0.93473115, 0.94067374, 0.9429708 ,\n",
      +       "        0.89287858, 0.96735947, 0.95026783, 1.        , 0.90457895,\n",
      +       "        0.48609249, 1.        , 1.        , 0.79281125, 1.        ,\n",
      +       "        0.18059596, 0.87497162, 0.90957428, 0.65285092, 0.81932864,\n",
      +       "        1.        , 1.        , 0.89162962, 1.        , 0.91665876],\n",
      +       "       [0.67770419, 1.        , 0.99663759, 1.        , 0.85517128,\n",
      +       "        0.87445238, 0.73252063, 0.70814278, 1.        , 0.93486777,\n",
      +       "        1.        , 0.76682899, 1.        , 0.74030236, 1.        ,\n",
      +       "        0.80408013, 0.98115938, 0.69247179, 0.97171675, 0.92861969,\n",
      +       "        0.77909189, 1.        , 1.        , 1.        , 0.94042396,\n",
      +       "        1.        , 0.81049938, 0.98892945, 1.        , 0.68396518,\n",
      +       "        0.80303124, 0.99699341, 0.28369575, 0.93455914, 1.        ,\n",
      +       "        0.83534272, 0.90814276, 0.89767155, 0.93365199, 0.82558368,\n",
      +       "        0.66526336, 1.        , 0.82355737, 0.92320173, 0.53726232,\n",
      +       "        0.98852824, 0.92489219, 1.        , 1.        , 0.82973115,\n",
      +       "        0.93829307, 0.68278201, 1.        , 0.88644736, 0.99997143,\n",
      +       "        0.90336636, 1.        , 0.92190389, 0.54947301, 0.93787688,\n",
      +       "        1.        , 0.79592478, 0.93448262, 0.9804425 , 1.        ,\n",
      +       "        0.97750466, 0.96245747, 1.        , 1.        , 0.9714172 ,\n",
      +       "        0.89028798, 0.73877395, 0.55277117, 0.97318444, 1.        ,\n",
      +       "        0.76453928, 0.43971337, 0.6118231 , 0.60074101, 0.85202834,\n",
      +       "        1.        , 0.62659757, 1.        , 0.90634198, 0.69067662,\n",
      +       "        1.        , 0.96369589, 0.95963344, 0.71878352, 0.89912927,\n",
      +       "        0.81404621, 0.81613036, 1.        , 1.        , 0.9716737 ,\n",
      +       "        0.85540276, 0.92528298, 0.99058871, 0.94073727, 0.97403875,\n",
      +       "        1.        , 0.8374377 , 0.84943429, 0.94284869, 0.5912326 ,\n",
      +       "        1.        , 0.90644301, 0.9055341 , 0.92009193, 0.95655145,\n",
      +       "        0.98079138, 0.73524369, 0.93885038, 0.72964697, 1.        ,\n",
      +       "        0.58044991, 0.89208509, 0.84008507, 0.87292713, 0.95236563,\n",
      +       "        0.61876915, 0.96377241, 0.53663196, 0.76865791, 0.83975235,\n",
      +       "        0.88191022, 0.96952218, 0.6285095 , 0.83969126, 0.96941569,\n",
      +       "        0.95100562, 1.        , 0.95656043, 0.57215798, 0.88702828,\n",
      +       "        0.96951091, 1.        , 0.62720311, 0.79900024, 0.76092753,\n",
      +       "        0.89958302, 1.        , 0.88914403, 0.58191715, 0.82484656,\n",
      +       "        0.66391414, 0.95327723, 0.98861745, 0.86274266, 0.65362549,\n",
      +       "        0.9124154 , 0.71258791, 0.99663854, 1.        , 0.90419167,\n",
      +       "        0.78922913, 0.65859427, 0.85123364, 1.        , 0.92427273,\n",
      +       "        1.        , 0.89619592, 0.70574274, 1.        , 0.88234623,\n",
      +       "        0.85822154, 0.62273679, 0.9662765 , 1.        , 0.79984555,\n",
      +       "        0.5920343 , 0.90480153, 1.        , 0.90572642, 0.92620304,\n",
      +       "        0.98776998, 0.96876651, 0.84191163, 0.48716884, 0.83995644,\n",
      +       "        0.52209015, 1.        , 0.75852484, 1.        , 0.30424375,\n",
      +       "        1.        , 1.        , 1.        , 0.52946435, 0.76632095,\n",
      +       "        0.78303692, 1.        , 0.85134073, 0.97045007, 0.95303434,\n",
      +       "        0.85916769, 0.62413032, 0.96201937, 0.97039417, 1.        ],\n",
      +       "       [1.        , 0.89026239, 1.        , 0.95310395, 0.96234627,\n",
      +       "        0.80290465, 0.91175158, 0.8909854 , 0.98864764, 0.7779382 ,\n",
      +       "        0.77594328, 0.92514613, 0.94122895, 0.77069781, 1.        ,\n",
      +       "        0.58693402, 0.96712647, 0.85424507, 1.        , 1.        ,\n",
      +       "        0.75232038, 1.        , 0.96886477, 0.89108356, 1.        ,\n",
      +       "        0.82627468, 1.        , 0.99289074, 0.72952337, 1.        ,\n",
      +       "        0.8554253 , 0.99805537, 0.98446649, 0.95418053, 1.        ,\n",
      +       "        0.82053487, 1.        , 0.99647657, 0.88254467, 0.89483227,\n",
      +       "        0.81939366, 1.        , 0.80155807, 0.79702287, 1.        ,\n",
      +       "        0.94726603, 0.82392995, 1.        , 1.        , 0.80449134,\n",
      +       "        1.        , 0.94871573, 0.94878393, 0.55907671, 0.75285023,\n",
      +       "        0.89617821, 0.92665024, 0.98306704, 1.        , 0.89827716,\n",
      +       "        0.75510658, 1.        , 0.94496067, 0.80818563, 0.90424081,\n",
      +       "        0.90085355, 1.        , 0.97944587, 0.94607984, 0.99566575,\n",
      +       "        0.4518243 , 0.73822913, 0.91890483, 0.95053225, 0.98700585,\n",
      +       "        0.94180108, 0.93812955, 0.81134154, 0.7177865 , 1.        ,\n",
      +       "        0.83818024, 0.96853305, 0.87821082, 0.84334004, 0.83760029,\n",
      +       "        1.        , 1.        , 0.83889843, 0.92515222, 1.        ,\n",
      +       "        0.69285265, 0.78524972, 1.        , 0.97278688, 0.9298754 ,\n",
      +       "        0.64874503, 0.95249262, 0.97012893, 0.97378559, 0.95839897,\n",
      +       "        1.        , 0.87530329, 0.99126579, 0.95528992, 0.98254358,\n",
      +       "        0.94692518, 1.        , 0.99758395, 0.8110557 , 1.        ,\n",
      +       "        0.98297263, 0.63019759, 0.95878939, 1.        , 0.76726658,\n",
      +       "        0.73302546, 0.77449263, 0.79300221, 0.70262374, 0.90288957,\n",
      +       "        1.        , 0.97139696, 1.        , 0.95553681, 0.7881712 ,\n",
      +       "        0.79056814, 0.72068253, 0.98263717, 0.99323887, 0.91382343,\n",
      +       "        0.91235701, 0.94238565, 0.87024631, 0.81881045, 0.81811927,\n",
      +       "        1.        , 0.98156296, 0.81778072, 0.97782213, 1.        ,\n",
      +       "        0.91898618, 0.93324609, 0.97675441, 0.84278026, 0.92593022,\n",
      +       "        1.        , 0.98924903, 0.82216059, 0.95003162, 1.        ,\n",
      +       "        0.98705554, 0.71019977, 0.81406872, 0.96596677, 0.92840096,\n",
      +       "        0.68286484, 0.81262645, 0.90152196, 0.77116968, 1.        ,\n",
      +       "        0.89044783, 0.998692  , 0.86299795, 0.99633106, 1.        ,\n",
      +       "        0.70622509, 1.        , 1.        , 0.99583828, 0.94784801,\n",
      +       "        0.72537833, 0.98042076, 0.90532383, 0.82540566, 1.        ,\n",
      +       "        0.62989891, 1.        , 0.96285811, 0.70727457, 0.92909714,\n",
      +       "        1.        , 1.        , 0.94468487, 0.68952465, 0.80424082,\n",
      +       "        0.82253791, 1.        , 0.71370084, 0.94330498, 0.94511469,\n",
      +       "        0.95380481, 0.95165007, 0.96901524, 0.73031729, 1.        ,\n",
      +       "        0.9331237 , 0.87567824, 0.74530746, 1.        , 0.96873161],\n",
      +       "       [0.81777569, 0.97099583, 0.9109432 , 1.        , 0.99972093,\n",
      +       "        0.96803876, 0.97713979, 0.97775647, 0.92553832, 0.94266455,\n",
      +       "        0.99833115, 0.93709195, 0.98463049, 0.94211311, 0.99424484,\n",
      +       "        0.96957996, 0.95511206, 0.97260064, 1.        , 0.94974879,\n",
      +       "        0.98719504, 0.99699227, 0.94164963, 0.95160541, 0.76617942,\n",
      +       "        1.        , 0.91679783, 0.9936376 , 0.99947463, 0.82129769,\n",
      +       "        0.96392285, 0.982708  , 0.99656241, 0.93594881, 0.99784446,\n",
      +       "        1.        , 0.90490454, 0.98887756, 0.99534707, 0.95582486,\n",
      +       "        0.99572005, 0.97146855, 0.83217787, 0.96309438, 0.99084169,\n",
      +       "        0.97406747, 0.87476276, 1.        , 0.99233612, 0.9793554 ,\n",
      +       "        0.99779452, 0.99570428, 0.97914382, 0.98154802, 0.98508193,\n",
      +       "        1.        , 0.9866441 , 0.96237798, 1.        , 0.89500828,\n",
      +       "        0.99879697, 0.87801984, 0.98873489, 1.        , 0.9577877 ,\n",
      +       "        1.        , 0.99533612, 0.97655951, 0.99121342, 0.96802511,\n",
      +       "        0.99925941, 0.98737784, 0.9532005 , 0.96919315, 0.9955184 ,\n",
      +       "        0.94934779, 0.98272283, 0.9938265 , 0.98649101, 0.97153515,\n",
      +       "        0.97151983, 0.90188939, 0.98949523, 0.97293146, 0.971023  ,\n",
      +       "        0.93429137, 0.99117614, 0.99820511, 0.96659813, 0.86273643,\n",
      +       "        0.98907463, 0.99556519, 0.95307379, 0.99687974, 0.88831499,\n",
      +       "        0.9863138 , 0.9531433 , 0.9868884 , 0.99420828, 0.9791017 ,\n",
      +       "        1.        , 0.86629207, 1.        , 0.99037975, 0.97617243,\n",
      +       "        0.97638355, 0.98683122, 0.99035642, 0.98743182, 0.81263274,\n",
      +       "        1.        , 1.        , 0.90673597, 0.99010579, 0.8805105 ,\n",
      +       "        0.96859946, 0.9896386 , 0.8353976 , 1.        , 0.98513262,\n",
      +       "        0.99971927, 0.87126524, 1.        , 0.92558108, 0.9903445 ,\n",
      +       "        0.83688473, 0.99746329, 1.        , 0.98321626, 0.99771021,\n",
      +       "        0.98046312, 0.97649891, 0.94048351, 0.9901959 , 0.98121024,\n",
      +       "        0.97084566, 0.89457893, 0.9114651 , 0.9403952 , 0.96600819,\n",
      +       "        0.99762843, 0.91756067, 0.97142744, 0.99398409, 0.97942814,\n",
      +       "        0.98388517, 0.96316108, 0.97919021, 0.86566996, 1.        ,\n",
      +       "        0.97960759, 0.97383771, 0.93051472, 0.97641902, 0.95523879,\n",
      +       "        0.9743074 , 0.98121623, 0.90445966, 0.98908   , 0.99238235,\n",
      +       "        0.99617213, 0.9873158 , 0.89059934, 0.94738023, 0.98517931,\n",
      +       "        0.99788397, 0.95106158, 0.79583535, 1.        , 0.99699501,\n",
      +       "        0.82266417, 1.        , 1.        , 1.        , 0.97041307,\n",
      +       "        0.93340679, 0.84045586, 0.9859029 , 0.99468868, 0.98098382,\n",
      +       "        0.99284991, 0.94345419, 0.92906589, 1.        , 0.99420757,\n",
      +       "        0.99358475, 0.99932687, 0.85280426, 0.9487088 , 0.98578259,\n",
      +       "        0.9980735 , 0.99822905, 0.96577933, 0.93660571, 1.        ,\n",
      +       "        1.        , 0.95353151, 0.97265614, 0.94327974, 0.83571748]])
    • step_size_bar
      (chain, draw)
      float64
      0.9268 0.9268 ... 0.6053 0.6053
      array([[0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ,\n",
      +       "        0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 , 0.9267767 ],\n",
      +       "       [0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676,\n",
      +       "        0.96940676, 0.96940676, 0.96940676, 0.96940676, 0.96940676],\n",
      +       "       [0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431,\n",
      +       "        0.84805431, 0.84805431, 0.84805431, 0.84805431, 0.84805431],\n",
      +       "       [0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111,\n",
      +       "        0.60534111, 0.60534111, 0.60534111, 0.60534111, 0.60534111]])
    • max_energy_error
      (chain, draw)
      float64
      0.9052 -0.299 ... 0.1105 0.3647
      array([[ 9.05237001e-01, -2.98970931e-01, -2.76723241e-01,\n",
      +       "        -1.01386164e-01,  3.35346997e-01,  6.18889114e-01,\n",
      +       "         1.67949593e+00,  2.43830081e-01, -4.41512548e-01,\n",
      +       "         7.24227131e-01,  1.69684279e-01,  1.47809469e-01,\n",
      +       "         3.15404286e-01,  1.20625944e+00, -8.48599380e-01,\n",
      +       "         8.10831145e-01, -2.53576023e-01,  5.41255351e-01,\n",
      +       "        -1.21922181e-01,  1.24296538e-01,  2.42821722e-01,\n",
      +       "         2.63016070e-03, -1.41840521e-01,  5.67272625e-01,\n",
      +       "        -7.19870745e-01, -8.51404852e-02,  6.16257339e-01,\n",
      +       "         3.32764641e-01,  2.20747886e-01,  4.17434346e-01,\n",
      +       "        -5.27608975e-01,  5.29824837e-01,  2.19074962e-01,\n",
      +       "         1.96203026e-01, -2.31579329e-01,  1.61233064e-01,\n",
      +       "         2.49057632e-01,  1.22233297e-01,  2.76142966e-01,\n",
      +       "        -2.39106071e-01,  9.06994353e-01, -3.59838783e-01,\n",
      +       "         7.71262778e-01, -2.12929456e-01, -2.73086692e-03,\n",
      +       "         4.90614026e-01,  1.51710924e-01,  6.69214390e-01,\n",
      +       "        -4.55569149e-01,  8.26245461e-02, -3.43413773e-01,\n",
      +       "        -4.49290624e-01,  3.95491471e-01, -1.63296160e-01,\n",
      +       "        -2.39341159e-01, -4.78789793e-01,  6.03462590e-01,\n",
      +       "        -5.28144056e-01, -5.61951048e-01,  1.14879190e-01,\n",
      +       "         4.01804646e-01, -2.01023546e-01,  9.52889698e-01,\n",
      +       "        -2.79007492e-01,  6.44651174e-01,  7.74874265e-02,\n",
      +       "        -3.89990072e-02,  5.03168732e-01, -1.97949630e-01,\n",
      +       "         1.71199596e-01, -1.23027075e-01,  3.30606879e-01,\n",
      +       "         9.17597479e-01,  6.65510841e-01, -3.93001420e-01,\n",
      +       "        -6.67587472e-01,  6.58491653e-02, -2.07079859e-01,\n",
      +       "         5.67088809e-01, -1.67728107e-01, -2.27052212e-01,\n",
      +       "         4.48721423e-01,  4.71074730e-01, -9.68319092e-02,\n",
      +       "         4.19802313e-01,  6.88843900e-01, -6.93109195e-01,\n",
      +       "        -3.83879133e-01, -2.38700284e-01,  1.32405466e+00,\n",
      +       "         2.43923688e-01,  2.83252783e-01,  4.91581473e-01,\n",
      +       "         8.46132294e-01,  7.70667679e-01,  1.62876772e-01,\n",
      +       "         1.95954042e-01, -8.47492876e-02,  1.53184685e-01,\n",
      +       "         1.71176361e-01,  5.48639710e-01,  2.03290607e-01,\n",
      +       "        -2.50716029e-01,  1.93049948e-01, -1.38128390e-01,\n",
      +       "         7.25640833e-02, -5.27711565e-02,  1.49182119e-01,\n",
      +       "         3.53398606e-01, -2.41176048e-01,  2.17540610e-01,\n",
      +       "         2.43064769e-01,  4.97853409e-01, -2.20898542e-01,\n",
      +       "         1.03011361e-01,  1.39765579e-01, -3.27726697e-01,\n",
      +       "         1.00545783e+00,  1.76925759e-01,  2.01638250e-01,\n",
      +       "         5.58434715e-01, -1.38897234e-01, -1.30808698e-01,\n",
      +       "        -1.93850884e-01,  2.35079848e-01,  4.86634771e-01,\n",
      +       "         5.17810780e-01,  3.22424791e-01, -9.89229340e-01,\n",
      +       "         1.50515682e+00,  2.61944349e-01,  3.19200492e-01,\n",
      +       "         7.78711543e-02,  2.42017471e-01,  5.04279758e-01,\n",
      +       "        -3.87896499e-01, -2.83671964e-01,  3.59334356e-01,\n",
      +       "         7.39984725e-01,  3.43640534e-01, -3.75320393e-01,\n",
      +       "         3.51220657e-01,  4.54189315e-01,  1.05991462e-01,\n",
      +       "        -1.22375109e-01,  1.85078012e-01,  4.51579332e-01,\n",
      +       "         3.10749343e-01, -6.51347147e-02,  3.41676977e-01,\n",
      +       "         2.84196480e-01,  1.59579406e-01, -1.09106755e-01,\n",
      +       "         1.47428761e+00, -1.13075672e+00,  4.82653089e-01,\n",
      +       "         1.94710670e-01, -4.70391961e-01,  2.76655221e-01,\n",
      +       "         7.19866748e-01, -3.44767990e-01,  1.20499867e-01,\n",
      +       "         7.23348654e-01,  1.90778454e-01,  6.52078253e-01,\n",
      +       "         2.48362380e-01,  2.82852461e-01,  7.51651778e-01,\n",
      +       "        -2.05979332e-01, -3.73260485e-01,  5.63083053e-01,\n",
      +       "        -2.46509720e-01, -2.66118428e-02,  1.66808417e-02,\n",
      +       "        -2.77859645e-01,  2.69443688e-01, -3.53972399e-01,\n",
      +       "         9.07565801e-02,  9.17722871e-02,  9.38435043e-02,\n",
      +       "         2.59957798e-01,  1.03053845e-01,  1.14138267e-01,\n",
      +       "        -7.88862795e-02,  1.38696329e-01,  9.44908386e-01,\n",
      +       "        -3.79302667e-01, -4.18472106e-01,  8.60640051e-01,\n",
      +       "        -1.89722666e-01,  1.97665318e+00,  2.05064655e-01,\n",
      +       "         3.16461825e-01,  4.26406480e-01,  6.36816255e-01,\n",
      +       "        -6.06889406e-01, -4.28590347e-01,  3.14556067e-01,\n",
      +       "        -7.49742399e-02,  1.30610104e-01],\n",
      +       "       [ 3.89044387e-01, -1.10142545e+00,  3.36807634e-03,\n",
      +       "        -2.08693466e-01,  2.55830982e-01,  2.78564809e-01,\n",
      +       "         4.39292249e-01,  3.45109533e-01, -5.97066402e-01,\n",
      +       "         1.33041161e-01, -1.60304508e-01,  4.13002310e-01,\n",
      +       "        -2.05919679e-01,  4.64972267e-01, -5.77963315e-01,\n",
      +       "         5.30603158e-01, -6.80071071e-01,  4.22155976e-01,\n",
      +       "        -2.18228733e-01, -3.54458723e-01,  4.48871473e-01,\n",
      +       "        -3.67349631e-01, -2.24993009e-01, -1.25431365e-01,\n",
      +       "         1.37003216e-01, -1.80504861e-01,  4.58287902e-01,\n",
      +       "        -1.67152486e-01, -2.42878769e-01,  6.96494044e-01,\n",
      +       "         2.35332684e-01, -2.10114771e-01,  1.61870519e+00,\n",
      +       "         1.73017615e-01, -1.31095225e-01,  1.88277702e-01,\n",
      +       "         1.13156786e-01,  1.07951032e-01,  1.17846246e-01,\n",
      +       "         1.91664657e-01,  4.24322524e-01, -2.36994446e-01,\n",
      +       "         6.32182629e-01,  1.96414949e-01,  8.25328258e-01,\n",
      +       "        -9.35507899e-01,  2.55309673e-01, -1.18644742e-01,\n",
      +       "        -5.50842541e-01,  1.86653552e-01, -4.69673767e-01,\n",
      +       "         7.52653725e-01, -4.00164994e-01,  1.40317188e-01,\n",
      +       "        -2.88860588e-01,  3.42350781e-01, -3.48123922e-01,\n",
      +       "         1.00268319e-01,  9.44830052e-01, -2.59126677e-01,\n",
      +       "        -3.73072354e-01,  7.20911924e-01,  4.10082243e-01,\n",
      +       "        -3.27250944e-01, -1.14420992e-01,  3.84835653e-02,\n",
      +       "         6.94931408e-02, -1.14317323e-01, -1.48074282e-01,\n",
      +       "         3.45239122e-02,  1.95215016e-01,  6.50812423e-01,\n",
      +       "         1.23314497e+00, -5.20267836e-01, -4.87080017e-01,\n",
      +       "         4.32968160e-01,  2.08997114e+00,  9.75207784e-01,\n",
      +       "         5.09591363e-01, -5.91047619e-01, -4.95406454e-01,\n",
      +       "         6.25569380e-01, -4.56689033e-01,  1.96757075e-01,\n",
      +       "         8.72868146e-01, -1.94248383e-01, -2.30962786e-01,\n",
      +       "         7.22178580e-02,  5.92661011e-01,  1.97891580e-01,\n",
      +       "         5.08409962e-01,  2.03181180e-01, -3.53802235e-01,\n",
      +       "        -1.95227538e-02,  6.34363547e-02,  2.22949774e-01,\n",
      +       "         1.46704458e-01,  2.86401187e-02,  1.46242751e-01,\n",
      +       "        -1.84896323e-01, -1.01018195e-01,  2.65207296e-01,\n",
      +       "         3.97925588e-01, -5.27503214e-01,  6.01423693e-01,\n",
      +       "        -1.46011771e-02,  3.29436387e-01, -3.49804899e-01,\n",
      +       "         2.22339835e-01,  1.39374234e-01,  5.93529164e-02,\n",
      +       "         5.56800459e-01,  1.46906016e-01,  3.40030888e-01,\n",
      +       "        -1.40751487e-01,  1.24699872e+00,  3.91184651e-01,\n",
      +       "         3.59376760e-01,  4.16688220e-01,  1.54204326e-01,\n",
      +       "         1.00190797e+00,  6.83496979e-02,  8.99346399e-01,\n",
      +       "         4.54393418e-01,  6.44377275e-01, -1.12148515e+00,\n",
      +       "         9.58871537e-02,  1.07291131e+00,  4.98744335e-01,\n",
      +       "         8.17899685e-02,  1.00194009e-01, -8.82065091e-02,\n",
      +       "         1.08501946e-01,  1.11707638e+00,  4.13873102e-01,\n",
      +       "         5.69082388e-02, -7.45469793e-02,  7.99156639e-01,\n",
      +       "         2.24394032e-01,  6.80735886e-01,  2.90797291e-01,\n",
      +       "        -2.58274465e-01,  3.40839214e-01,  5.41427204e-01,\n",
      +       "        -8.86196943e-01,  4.09602445e-01, -4.50302082e-01,\n",
      +       "        -1.90626437e-01,  3.39795366e-01,  1.02299620e+00,\n",
      +       "         2.62518115e-01,  5.69777734e-01, -2.32461807e-01,\n",
      +       "        -1.54952876e-01,  1.70061697e-01,  2.72226149e-01,\n",
      +       "         1.19070020e+00, -3.69716532e-01, -2.61603527e-01,\n",
      +       "        -3.74182930e-01, -2.49193247e-01,  3.73112490e-01,\n",
      +       "         1.49012684e+00, -1.36599066e+00, -5.93201746e-01,\n",
      +       "         2.47219041e-01,  5.85164347e-01, -1.87592227e-01,\n",
      +       "        -8.87777470e-02,  3.62405396e-01,  1.08178675e+00,\n",
      +       "        -7.87438768e-01, -8.76665460e-01,  3.32429451e-01,\n",
      +       "         1.46271127e-01, -1.18085179e-01, -1.70270988e-01,\n",
      +       "         2.78376800e-01,  1.68751676e+00,  2.08608217e-01,\n",
      +       "         7.98676377e-01, -7.28978395e-01,  3.81409102e-01,\n",
      +       "        -3.46169138e-01,  1.31322263e+00, -8.84732034e-01,\n",
      +       "        -1.97825898e-01, -4.11664696e-01,  8.69487765e-01,\n",
      +       "         7.23547970e-01,  4.55402206e-01, -3.89373197e-01,\n",
      +       "         3.63927570e-01,  9.28280439e-02, -2.16072483e-01,\n",
      +       "         2.65796409e-01,  6.11769106e-01, -5.82511829e-01,\n",
      +       "        -6.74916580e-01, -3.02172145e-01],\n",
      +       "       [-2.55484802e-01,  2.92351077e-01, -5.06513193e-01,\n",
      +       "        -2.47997011e-01, -4.87460293e-01,  4.31465254e-01,\n",
      +       "         1.64779726e-01,  2.75696645e-01, -1.08907776e-01,\n",
      +       "         5.17407987e-01,  6.11343510e-01, -3.26242690e-01,\n",
      +       "         1.82794473e-01,  5.72719273e-01, -1.36759390e-01,\n",
      +       "         8.10706897e-01, -5.20189105e-01,  3.44328296e-01,\n",
      +       "        -4.13662438e-01, -4.04567711e-01,  5.22402833e-01,\n",
      +       "        -7.63726962e-02,  5.05756493e-02,  2.35454078e-01,\n",
      +       "        -1.82528087e-01,  2.94175995e-01, -3.14998361e-01,\n",
      +       "        -6.93265820e-02,  3.94744966e-01, -2.61504087e-01,\n",
      +       "         2.40236981e-01, -3.16615523e-01, -2.35241127e-01,\n",
      +       "        -1.45978158e-01, -7.40724565e-03,  4.16342083e-01,\n",
      +       "        -4.45806869e-01, -2.59467725e-01,  2.46481929e-01,\n",
      +       "         2.26563377e-01,  1.99190656e-01, -1.53731853e-01,\n",
      +       "         2.21197856e-01,  4.12632679e-01, -1.63948455e-01,\n",
      +       "         2.33310818e-01,  4.37506658e-01, -1.82080881e-01,\n",
      +       "        -5.20819435e-01,  2.99040709e-01, -3.18391540e-01,\n",
      +       "        -1.57745409e-01,  1.66820178e-01,  1.06372616e+00,\n",
      +       "         3.37422025e-01,  3.73189644e-01, -3.47378748e-01,\n",
      +       "        -1.69810146e-01, -1.61461105e-01,  1.83975783e-01,\n",
      +       "         6.25302258e-01, -4.67068631e-01, -2.87942216e-01,\n",
      +       "         5.61640400e-01, -4.28840252e-01, -5.37377543e-01,\n",
      +       "        -8.92758917e-01,  5.25431320e-02,  1.76451400e-01,\n",
      +       "         9.07038303e-03,  9.87706770e-01,  4.50648700e-01,\n",
      +       "        -3.85577000e-01,  1.60642162e-01, -8.59819807e-02,\n",
      +       "         1.91883249e-01,  1.36330823e-01,  4.85366375e-01,\n",
      +       "         4.95447250e-01, -3.09091005e-01,  2.44343368e-01,\n",
      +       "        -2.19096069e-01,  2.47110346e-01,  3.43053607e-01,\n",
      +       "         6.67867666e-01, -3.63933076e-01, -2.60865531e-01,\n",
      +       "         3.51436935e-01,  2.87435303e-01, -1.16786210e-01,\n",
      +       "         4.49254989e-01,  4.29765795e-01, -5.25516336e-01,\n",
      +       "        -1.21579414e-01,  1.50270373e-01,  5.64035609e-01,\n",
      +       "        -2.26797079e-01, -3.14963471e-01,  2.65641338e-02,\n",
      +       "        -3.13832234e-01, -3.80129128e-01,  2.80744352e-01,\n",
      +       "        -2.75944437e-01,  1.33510966e-01,  5.94556856e-02,\n",
      +       "         1.43574508e-01, -1.83100761e-01,  3.92606790e-03,\n",
      +       "         2.70061526e-01, -1.66250058e-01,  3.05940750e-02,\n",
      +       "         7.57775281e-01, -7.02553294e-01, -6.15813552e-02,\n",
      +       "         5.11031670e-01,  6.94644389e-01,  4.65432607e-01,\n",
      +       "         5.80428730e-01,  3.52933754e-01, -3.85565715e-01,\n",
      +       "        -8.16398705e-01, -4.34208331e-01, -2.29761411e-01,\n",
      +       "         4.54819866e-02,  4.68946427e-01,  4.97977148e-01,\n",
      +       "         3.27556553e-01, -2.40833527e-01, -2.74686449e-01,\n",
      +       "         1.99256409e-01,  3.05071004e-01,  1.89760816e-01,\n",
      +       "         2.13116007e-01,  4.45064201e-01,  3.88426158e-01,\n",
      +       "        -5.03689575e-01, -1.08896944e-01,  6.93761834e-01,\n",
      +       "        -3.97623023e-01, -4.18654294e-01,  1.45440812e-01,\n",
      +       "         1.70556678e-01, -1.50059807e-01,  2.84181749e-01,\n",
      +       "         1.72667596e-01, -9.66184504e-02, -4.15922435e-02,\n",
      +       "         2.79596223e-01, -1.82985524e-01, -1.53580893e-01,\n",
      +       "        -2.55650401e-01,  5.04684760e-01,  2.05710499e-01,\n",
      +       "        -1.10702860e-01,  2.41813134e-01,  4.79348941e-01,\n",
      +       "         4.83740410e-01,  2.20976492e-01,  5.27232374e-01,\n",
      +       "        -6.80429790e-02,  3.98474343e-01, -1.85969133e-01,\n",
      +       "         2.96223444e-01, -2.77551641e-01, -1.98033775e-01,\n",
      +       "         8.19237830e-01, -7.34516311e-02, -5.11484455e-01,\n",
      +       "        -6.37569604e-01,  1.84553893e-01,  5.73359165e-01,\n",
      +       "         3.05282416e-02,  1.50969050e-01,  4.22610286e-01,\n",
      +       "        -2.06933940e-02,  7.87715935e-01, -4.38711605e-01,\n",
      +       "         6.13926325e-02,  5.03412914e-01, -2.26844382e-01,\n",
      +       "        -5.76839281e-01, -4.20022129e-01,  1.15196602e-01,\n",
      +       "         5.19013154e-01,  2.55737964e-01,  1.95360711e-01,\n",
      +       "        -2.46567453e-01,  7.00708598e-01,  1.36117083e-01,\n",
      +       "         1.17605359e-01,  1.49179551e-01, -3.24398305e-01,\n",
      +       "        -2.60565181e-01,  7.30182905e-01, -5.79675003e-01,\n",
      +       "        -4.06988429e-01,  2.68750684e-01,  6.67089106e-01,\n",
      +       "        -3.18483105e-01,  5.11209125e-02],\n",
      +       "       [ 7.69821394e-01,  6.73049241e-02,  2.26408621e-01,\n",
      +       "        -5.64918862e-02, -2.56860453e-02,  9.50088687e-02,\n",
      +       "         5.25077754e-02,  5.07828522e-02,  1.31496717e-01,\n",
      +       "        -1.01139494e-01, -1.29665874e-01,  1.17196745e-01,\n",
      +       "        -1.22635117e-01,  1.36442044e-01, -1.18963759e-01,\n",
      +       "         5.33870684e-02,  9.70233047e-02, -1.47555479e-01,\n",
      +       "        -2.11143093e-01,  8.78072479e-02, -5.06452764e-02,\n",
      +       "        -6.98967104e-02,  1.44860306e-01,  1.52622898e-01,\n",
      +       "         3.75757405e-01, -4.43744549e-01,  1.91559696e-01,\n",
      +       "        -7.29840446e-02, -1.13924419e-01,  3.28537984e-01,\n",
      +       "        -3.55674755e-01, -7.03515951e-02, -1.60696175e-01,\n",
      +       "         1.08057326e-01, -1.47630110e-01, -1.47890617e-01,\n",
      +       "         3.31130668e-01, -3.13099408e-01, -3.18715408e-02,\n",
      +       "         1.06886459e-01, -3.24522145e-02,  6.72824264e-02,\n",
      +       "         2.64544127e-01, -2.88127936e-01, -3.63346429e-02,\n",
      +       "         6.29123073e-02,  3.45147159e-01, -3.47777006e-01,\n",
      +       "        -2.34161594e-01, -9.53520014e-02, -1.05186783e-01,\n",
      +       "        -1.23978046e-01,  5.86719698e-02, -1.25160704e-01,\n",
      +       "         3.58852246e-02, -4.84958836e-02,  4.11428716e-02,\n",
      +       "         7.10430434e-02, -5.24533969e-02,  1.98951480e-01,\n",
      +       "        -1.28074383e-01,  3.08225398e-01, -7.78479885e-02,\n",
      +       "        -1.39989942e-01,  1.43451526e-01, -3.13093541e-02,\n",
      +       "        -2.32160012e-01,  4.98568108e-02, -2.75282146e-02,\n",
      +       "         6.06217465e-02, -2.39510845e-02,  2.14721236e-02,\n",
      +       "         8.19721944e-02,  9.62215766e-02, -1.35855919e-01,\n",
      +       "         1.20545547e-01, -1.60912373e-01, -1.05813039e-01,\n",
      +       "         2.12550295e-02,  6.11319774e-02,  4.44822068e-02,\n",
      +       "         1.93159385e-01, -8.91166252e-02, -4.75843476e-02,\n",
      +       "        -8.92609552e-02,  1.54420763e-01, -3.78579076e-02,\n",
      +       "        -3.85598800e-02,  6.95217982e-02,  3.07713505e-01,\n",
      +       "        -3.25456489e-01, -1.70484315e-01,  8.87005298e-02,\n",
      +       "        -3.05387278e-02,  2.05362332e-01, -6.26341030e-02,\n",
      +       "         1.22959689e-01,  4.42722963e-02, -4.22639749e-02,\n",
      +       "         6.40410207e-02, -6.37178024e-02,  2.73766767e-01,\n",
      +       "        -8.44623866e-02, -5.55371823e-02,  5.87774908e-02,\n",
      +       "        -1.01740266e-01,  4.39401462e-02,  2.20965498e-02,\n",
      +       "         3.36927746e-02,  3.56114232e-01, -2.29347862e-01,\n",
      +       "        -6.55175643e-02,  2.31476779e-01, -8.71148797e-02,\n",
      +       "         1.94014953e-01,  6.15576445e-02, -4.11842936e-02,\n",
      +       "         2.81128228e-01, -2.71653479e-01, -1.74927106e-01,\n",
      +       "         2.80767937e-04,  2.14628982e-01, -3.66873843e-01,\n",
      +       "         1.08004103e-01, -1.22188504e-01,  2.63235329e-01,\n",
      +       "        -1.04049399e-01, -1.11650451e-01, -1.94538325e-01,\n",
      +       "        -1.61884735e-02,  3.48365497e-02,  4.84084653e-02,\n",
      +       "         1.55780018e-01,  3.09066753e-02,  7.20423083e-02,\n",
      +       "         5.44971090e-02,  1.71377818e-01,  1.81720430e-01,\n",
      +       "         1.22304996e-01,  1.13290083e-01, -6.24474771e-02,\n",
      +       "         1.15639110e-01,  7.85718141e-02, -1.11753692e-01,\n",
      +       "        -1.70409367e-01,  3.74635509e-02,  7.85444876e-02,\n",
      +       "         6.36601188e-02,  1.91332335e-01, -1.44650304e-01,\n",
      +       "         5.30933465e-02,  7.08545916e-02,  1.12602791e-01,\n",
      +       "         5.33378412e-02,  9.63855273e-02, -1.15539830e-01,\n",
      +       "         4.04707636e-02,  2.02498874e-01, -1.93245627e-01,\n",
      +       "        -4.61787567e-02, -1.90078687e-02,  2.66654436e-02,\n",
      +       "         2.72329788e-01,  1.78845786e-01,  3.62320989e-02,\n",
      +       "        -6.03039676e-02,  9.49361221e-02,  5.30972573e-01,\n",
      +       "        -3.72614945e-01, -1.94486730e-01,  4.62776496e-01,\n",
      +       "        -3.66643092e-01, -3.41594031e-01, -1.09173895e-01,\n",
      +       "        -8.54171235e-02,  2.33594072e-01,  3.84375316e-01,\n",
      +       "        -4.20039246e-02,  1.19026684e-02,  3.26118475e-02,\n",
      +       "        -2.69686620e-02,  1.36955187e-01,  1.29926106e-01,\n",
      +       "        -1.32949784e-01, -7.28688109e-02, -9.75223250e-02,\n",
      +       "        -9.70848215e-02,  2.50455346e-01, -1.69735343e-01,\n",
      +       "         3.16180502e-02, -3.04683928e-02, -4.85848687e-02,\n",
      +       "         6.63053831e-02,  1.74562090e-01, -1.86510181e-02,\n",
      +       "        -1.15822090e-01,  8.05708322e-02, -8.81186830e-02,\n",
      +       "         1.10486913e-01,  3.64720496e-01]])
    • step_size
      (chain, draw)
      float64
      0.813 0.813 0.813 ... 1.129 1.129
      array([[0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188,\n",
      +       "        0.81301188, 0.81301188, 0.81301188, 0.81301188, 0.81301188],\n",
      +       "       [0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051,\n",
      +       "        0.82777051, 0.82777051, 0.82777051, 0.82777051, 0.82777051],\n",
      +       "       [0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679,\n",
      +       "        0.99658679, 0.99658679, 0.99658679, 0.99658679, 0.99658679],\n",
      +       "       [1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678,\n",
      +       "        1.12850678, 1.12850678, 1.12850678, 1.12850678, 1.12850678]])
    • depth
      (chain, draw)
      int64
      2 2 2 2 2 2 2 1 ... 3 3 1 3 3 3 3 3
      array([[2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1,\n",
      +       "        2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2,\n",
      +       "        1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1,\n",
      +       "        2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2,\n",
      +       "        1, 2],\n",
      +       "       [1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 1, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2,\n",
      +       "        2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        2, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1,\n",
      +       "        2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,\n",
      +       "        3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
      +       "        2, 1],\n",
      +       "       [2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2,\n",
      +       "        3, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,\n",
      +       "        3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,\n",
      +       "        2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2,\n",
      +       "        2, 3, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 1, 2,\n",
      +       "        2, 2, 2, 2, 2, 1, 2, 3, 2, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2,\n",
      +       "        3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2,\n",
      +       "        2, 2],\n",
      +       "       [2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2,\n",
      +       "        3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2,\n",
      +       "        3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 1,\n",
      +       "        2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2,\n",
      +       "        3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3,\n",
      +       "        2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 1, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3,\n",
      +       "        3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3,\n",
      +       "        3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3,\n",
      +       "        3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3,\n",
      +       "        3, 3]])
    • diverging
      (chain, draw)
      bool
      False False False ... False False
      array([[False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False]])
    • lp
      (chain, draw)
      float64
      -1.466e+03 ... -1.466e+03
      array([[-1465.97965886, -1464.87106279, -1464.47787595, -1464.28864479,\n",
      +       "        -1464.79855742, -1464.67618356, -1464.53030793, -1465.70181319,\n",
      +       "        -1463.44502893, -1463.7061024 , -1463.56475893, -1463.61966239,\n",
      +       "        -1463.61966239, -1468.19390865, -1466.1150675 , -1464.94673577,\n",
      +       "        -1463.83846591, -1464.38024632, -1464.15457283, -1463.96509468,\n",
      +       "        -1464.10463043, -1464.17296516, -1464.52377992, -1466.79371022,\n",
      +       "        -1463.944435  , -1463.42059202, -1463.49226857, -1464.33023271,\n",
      +       "        -1464.71757146, -1466.34194931, -1463.88487135, -1464.47206044,\n",
      +       "        -1464.03834705, -1464.82141535, -1463.98027995, -1464.50620433,\n",
      +       "        -1464.28076838, -1464.26693668, -1464.45379044, -1463.64395937,\n",
      +       "        -1466.35521594, -1464.97424579, -1464.23838471, -1463.22926675,\n",
      +       "        -1463.21947876, -1464.76254702, -1465.45515184, -1466.50972397,\n",
      +       "        -1464.47131564, -1464.92933204, -1465.5164144 , -1465.13576637,\n",
      +       "        -1465.91764664, -1465.11268081, -1465.20226448, -1463.9066807 ,\n",
      +       "        -1466.36731402, -1466.33775568, -1463.66082245, -1464.28795769,\n",
      +       "        -1465.23408553, -1464.42023259, -1464.38160185, -1463.62806286,\n",
      +       "        -1463.41847405, -1463.74803161, -1463.6606877 , -1464.94672708,\n",
      +       "        -1464.42747279, -1464.83009248, -1464.38502856, -1464.12335366,\n",
      +       "        -1464.12335366, -1467.04702916, -1466.47712427, -1464.21669649,\n",
      +       "        -1464.23804839, -1464.14795833, -1464.63971791, -1464.39262043,\n",
      +       "        -1463.67631853, -1463.4377639 , -1463.86523011, -1463.61710754,\n",
      +       "        -1465.37054363, -1467.53400631, -1465.4587317 , -1464.80495065,\n",
      +       "        -1463.75613403, -1464.10378819, -1464.36269642, -1464.88436552,\n",
      +       "        -1467.08629652, -1463.79836037, -1464.12450823, -1463.80723548,\n",
      +       "        -1463.57954637, -1463.21910376, -1463.29709991, -1463.34373557,\n",
      +       "        -1463.53393838, -1464.5051921 , -1463.68701947, -1463.73488146,\n",
      +       "        -1463.300727  , -1463.62803501, -1463.37850579, -1463.68940393,\n",
      +       "        -1465.19405797, -1464.19619075, -1464.54014793, -1465.77355134,\n",
      +       "        -1464.76784853, -1463.75538484, -1464.08277824, -1464.64502857,\n",
      +       "        -1463.39893952, -1463.31498286, -1463.3895912 , -1464.04052476,\n",
      +       "        -1464.47007388, -1464.5343136 , -1464.20185862, -1463.39317621,\n",
      +       "        -1464.59687679, -1464.54647458, -1466.91069108, -1467.70019812,\n",
      +       "        -1464.06529073, -1463.51523321, -1464.50380662, -1463.47078922,\n",
      +       "        -1463.39077074, -1464.15353142, -1466.48535896, -1465.15166259,\n",
      +       "        -1464.36677111, -1464.85108264, -1464.32203181, -1465.2870089 ,\n",
      +       "        -1464.59952496, -1463.58156441, -1463.99539478, -1464.31586198,\n",
      +       "        -1464.49355224, -1463.84383504, -1464.51455586, -1463.55274986,\n",
      +       "        -1463.52571408, -1464.54381649, -1465.93331005, -1465.65683823,\n",
      +       "        -1465.15829604, -1467.96274753, -1464.90346122, -1465.44690394,\n",
      +       "        -1464.94345061, -1463.21649477, -1464.08841389, -1465.31470598,\n",
      +       "        -1463.70941641, -1464.34637355, -1464.26407785, -1464.96739578,\n",
      +       "        -1464.28577346, -1464.6644017 , -1465.63870287, -1465.37631705,\n",
      +       "        -1465.39371892, -1464.5714148 , -1464.95846302, -1465.35640663,\n",
      +       "        -1465.19594285, -1465.36151436, -1464.00446658, -1464.84493453,\n",
      +       "        -1463.39235111, -1463.47723691, -1463.75328068, -1464.16141135,\n",
      +       "        -1463.76171278, -1463.59139706, -1463.65620802, -1463.40237984,\n",
      +       "        -1464.01509944, -1467.19140241, -1465.04955427, -1464.79419906,\n",
      +       "        -1464.19693585, -1463.42596479, -1463.42596479, -1464.23424752,\n",
      +       "        -1465.47686648, -1465.47686648, -1467.3208748 , -1465.27910473,\n",
      +       "        -1464.56590317, -1464.68738573, -1464.26449703, -1464.14714612],\n",
      +       "       [-1467.33227336, -1464.19070121, -1464.28117755, -1463.41076648,\n",
      +       "        -1464.30459508, -1463.46945723, -1464.44921808, -1465.6585773 ,\n",
      +       "        -1464.00300737, -1464.09863971, -1463.81713819, -1465.62924963,\n",
      +       "        -1464.15172367, -1466.0981721 , -1465.9601153 , -1466.72470835,\n",
      +       "        -1463.82787055, -1465.06307646, -1465.52079212, -1464.35256864,\n",
      +       "        -1465.18850596, -1465.08265207, -1464.09309043, -1463.97858583,\n",
      +       "        -1464.2573278 , -1463.51492602, -1464.23996038, -1464.38997794,\n",
      +       "        -1464.11621056, -1463.32512362, -1464.22198648, -1464.40259651,\n",
      +       "        -1464.40259651, -1463.75182984, -1463.21977018, -1463.21977018,\n",
      +       "        -1463.63044763, -1464.12529182, -1463.59130192, -1464.35910061,\n",
      +       "        -1466.38370562, -1466.32997043, -1464.09062726, -1465.34276314,\n",
      +       "        -1466.9286056 , -1467.04440586, -1465.87914087, -1465.45564716,\n",
      +       "        -1464.7358931 , -1465.35656492, -1464.84769321, -1466.20871623,\n",
      +       "        -1464.45138934, -1464.65954318, -1464.18830065, -1465.51371813,\n",
      +       "        -1464.10487529, -1464.35972599, -1464.90852604, -1466.20887054,\n",
      +       "        -1465.03648406, -1466.71468052, -1465.27660295, -1464.0731455 ,\n",
      +       "        -1463.59542591, -1463.82342799, -1463.92055325, -1463.89364248,\n",
      +       "        -1463.25674443, -1463.33695952, -1464.3057197 , -1465.56318587,\n",
      +       "        -1466.25273522, -1465.93047188, -1463.95131042, -1464.1762402 ,\n",
      +       "        -1464.95322765, -1466.11511105, -1466.11511105, -1466.3368669 ,\n",
      +       "        -1464.24766448, -1465.4690887 , -1464.25347707, -1464.54221892,\n",
      +       "        -1464.99320605, -1464.19874722, -1463.37108199, -1463.66850727,\n",
      +       "        -1463.84736433, -1463.92263971, -1464.18078326, -1465.05078113,\n",
      +       "        -1463.56671176, -1463.48954207, -1463.44521065, -1463.44521065,\n",
      +       "        -1463.456584  , -1463.44481404, -1464.19689287, -1464.34731138,\n",
      +       "        -1463.91545948, -1465.44692936, -1465.7827241 , -1463.39928016,\n",
      +       "        -1465.68516907, -1465.70884354, -1465.10698135, -1463.50103026,\n",
      +       "        -1463.59190914, -1463.42388857, -1463.27248203, -1463.66483916,\n",
      +       "        -1463.35889123, -1464.45536194, -1464.15673188, -1464.58360203,\n",
      +       "        -1463.82675325, -1463.86634153, -1463.9894899 , -1463.83692338,\n",
      +       "        -1463.44373184, -1463.82495431, -1463.82495431, -1466.16947049,\n",
      +       "        -1468.23421423, -1463.72474907, -1463.57705745, -1463.82386921,\n",
      +       "        -1463.52403782, -1463.52540239, -1464.15064913, -1463.74904695,\n",
      +       "        -1463.75873211, -1464.32919007, -1463.75000839, -1463.85016028,\n",
      +       "        -1463.59076939, -1464.30741969, -1465.3436518 , -1464.19784522,\n",
      +       "        -1465.69905026, -1464.59411881, -1466.32073445, -1469.06778356,\n",
      +       "        -1464.62631461, -1466.30595577, -1464.3843126 , -1464.54417893,\n",
      +       "        -1464.32858923, -1464.32858923, -1464.44510765, -1464.4717107 ,\n",
      +       "        -1464.43670322, -1463.84311818, -1463.52681077, -1464.83257461,\n",
      +       "        -1465.536048  , -1467.50153788, -1465.93186088, -1465.15338877,\n",
      +       "        -1464.06926304, -1465.63197194, -1472.15054294, -1466.91206752,\n",
      +       "        -1464.54633645, -1463.37895858, -1464.75594796, -1463.84158595,\n",
      +       "        -1463.53810668, -1465.16989829, -1466.92072296, -1468.20944713,\n",
      +       "        -1464.95929444, -1463.93106659, -1464.82645293, -1464.39901289,\n",
      +       "        -1464.33226961, -1463.8231608 , -1463.22751833, -1463.86515816,\n",
      +       "        -1467.04154628, -1464.13448496, -1465.13161685, -1463.9643876 ,\n",
      +       "        -1468.35972844, -1465.80643939, -1465.3933347 , -1463.84688672,\n",
      +       "        -1463.84688672, -1463.93391949, -1465.98977673, -1464.46469329,\n",
      +       "        -1464.01915657, -1464.44402369, -1463.71539421, -1463.43166685,\n",
      +       "        -1466.48377376, -1467.06064807, -1467.62126019, -1465.97242174],\n",
      +       "       [-1465.15630987, -1467.14515349, -1465.27196538, -1466.32985907,\n",
      +       "        -1464.42987335, -1463.83870301, -1464.3674067 , -1463.83431189,\n",
      +       "        -1463.65742902, -1464.98195843, -1466.56163894, -1464.19601383,\n",
      +       "        -1464.86330056, -1464.89502645, -1464.02600044, -1467.30050684,\n",
      +       "        -1464.9528705 , -1465.6736153 , -1465.99274989, -1463.91106829,\n",
      +       "        -1463.74738727, -1463.69565437, -1463.65655712, -1464.74063652,\n",
      +       "        -1463.94854251, -1465.54450486, -1464.01320697, -1463.67958805,\n",
      +       "        -1465.35005101, -1464.11802548, -1465.68138431, -1465.74096457,\n",
      +       "        -1464.13013575, -1464.59084848, -1464.5658661 , -1466.05570427,\n",
      +       "        -1464.88623866, -1463.55389554, -1464.05794341, -1464.26068747,\n",
      +       "        -1465.31600706, -1464.73432747, -1464.73432747, -1464.86253492,\n",
      +       "        -1464.26160258, -1464.90181432, -1467.39849264, -1466.2886355 ,\n",
      +       "        -1463.95698476, -1465.65427942, -1464.64711739, -1464.60205123,\n",
      +       "        -1463.75106877, -1463.75106877, -1465.3944201 , -1467.28141859,\n",
      +       "        -1465.47756151, -1464.90643486, -1464.07081057, -1464.97417402,\n",
      +       "        -1467.17802272, -1464.81427903, -1464.92707485, -1466.06713809,\n",
      +       "        -1467.19953157, -1468.94577408, -1464.30437537, -1464.09160986,\n",
      +       "        -1463.30988025, -1463.37128581, -1463.37128581, -1466.30432219,\n",
      +       "        -1464.38474588, -1464.34123672, -1464.37146183, -1463.8668388 ,\n",
      +       "        -1464.17005459, -1463.37748012, -1465.1850022 , -1463.47772585,\n",
      +       "        -1464.63276874, -1464.48458971, -1465.13788844, -1466.77890916,\n",
      +       "        -1466.6533243 , -1465.0278139 , -1463.51353731, -1465.22687518,\n",
      +       "        -1464.33820267, -1463.48328558, -1464.88545082, -1466.65663062,\n",
      +       "        -1464.35296231, -1463.48591581, -1463.36579564, -1465.1664695 ,\n",
      +       "        -1465.11047309, -1465.53583859, -1465.63902633, -1466.51400701,\n",
      +       "        -1464.75477939, -1465.51563334, -1464.24111551, -1464.33668614,\n",
      +       "        -1464.15945159, -1464.0530238 , -1463.2071738 , -1463.22652495,\n",
      +       "        -1464.20607192, -1463.39383876, -1463.51575358, -1467.49989103,\n",
      +       "        -1463.95191657, -1463.43191142, -1464.12422082, -1464.22354204,\n",
      +       "        -1466.06511501, -1466.9704171 , -1466.9704171 , -1468.85324186,\n",
      +       "        -1466.38932577, -1465.58062302, -1464.11879937, -1464.36614571,\n",
      +       "        -1464.27787034, -1465.62339738, -1465.62339738, -1465.695952  ,\n",
      +       "        -1463.95888202, -1464.42310362, -1463.75808574, -1463.61481315,\n",
      +       "        -1465.2704447 , -1467.35369955, -1469.30601368, -1466.25402682,\n",
      +       "        -1466.32239344, -1466.03821332, -1466.06025123, -1463.85996758,\n",
      +       "        -1463.90341093, -1464.3840541 , -1463.41877366, -1463.41877366,\n",
      +       "        -1464.05541845, -1463.5378354 , -1463.69018497, -1464.52527702,\n",
      +       "        -1465.23529477, -1464.55240869, -1463.95446025, -1464.40798986,\n",
      +       "        -1464.40798986, -1464.57924304, -1463.36555281, -1464.51473736,\n",
      +       "        -1464.29883311, -1464.77612099, -1466.41077794, -1466.26133517,\n",
      +       "        -1464.48429586, -1464.06093473, -1465.46563285, -1464.51476823,\n",
      +       "        -1464.59833462, -1469.10007551, -1468.6075289 , -1466.44916675,\n",
      +       "        -1464.0231179 , -1464.15646786, -1463.32868069, -1463.4818192 ,\n",
      +       "        -1464.56652208, -1463.68450142, -1463.60977928, -1466.38169722,\n",
      +       "        -1463.93920506, -1463.68342053, -1466.25457469, -1466.58188765,\n",
      +       "        -1465.45754048, -1463.38335534, -1463.3499457 , -1463.3499457 ,\n",
      +       "        -1464.22100614, -1465.20027899, -1464.05052593, -1464.20066231,\n",
      +       "        -1463.5517446 , -1464.15641792, -1465.02645168, -1465.87297755,\n",
      +       "        -1465.22020737, -1468.5291122 , -1465.75073046, -1463.77133667,\n",
      +       "        -1464.28500178, -1465.62395403, -1464.17703026, -1464.50878498],\n",
      +       "       [-1464.34964853, -1463.93674956, -1464.26383593, -1464.39823536,\n",
      +       "        -1464.2229736 , -1463.88203408, -1463.95559143, -1463.5913148 ,\n",
      +       "        -1465.31779289, -1466.483053  , -1464.52738142, -1466.08072048,\n",
      +       "        -1465.66830272, -1464.80878551, -1463.64879344, -1464.08260311,\n",
      +       "        -1464.94748275, -1465.44489142, -1463.36037378, -1464.0489441 ,\n",
      +       "        -1463.99212571, -1463.46153509, -1464.84275802, -1465.28483522,\n",
      +       "        -1468.78889924, -1464.08023621, -1464.89840135, -1464.60236742,\n",
      +       "        -1464.623802  , -1468.19714717, -1465.26370681, -1465.05304723,\n",
      +       "        -1463.97691352, -1465.81065288, -1465.8786961 , -1465.10094723,\n",
      +       "        -1468.1549474 , -1464.22126561, -1464.43426734, -1464.15494504,\n",
      +       "        -1464.11221597, -1463.96963164, -1466.50147461, -1463.95377786,\n",
      +       "        -1463.44679072, -1463.84240383, -1468.70493972, -1466.63113679,\n",
      +       "        -1464.69597058, -1465.96291622, -1465.53664827, -1465.89828087,\n",
      +       "        -1465.63697111, -1463.65455539, -1463.95295208, -1463.61834973,\n",
      +       "        -1463.87545578, -1464.71327923, -1464.36196698, -1466.48362267,\n",
      +       "        -1464.42259103, -1465.54566237, -1466.16097161, -1465.36339957,\n",
      +       "        -1466.64485729, -1466.44732289, -1463.57795566, -1463.97182646,\n",
      +       "        -1463.54029024, -1463.74599838, -1463.51306802, -1463.64525134,\n",
      +       "        -1464.7444617 , -1465.10905776, -1464.43832457, -1466.25012613,\n",
      +       "        -1464.74237184, -1463.37854343, -1463.34995096, -1463.36550047,\n",
      +       "        -1463.49960583, -1464.7500395 , -1464.57512345, -1465.18077121,\n",
      +       "        -1465.18121666, -1463.79716283, -1463.62190297, -1463.28590255,\n",
      +       "        -1463.83680052, -1466.9263467 , -1465.03401276, -1463.65844954,\n",
      +       "        -1464.2092678 , -1463.96948301, -1465.43230742, -1465.02661624,\n",
      +       "        -1464.91798038, -1464.7751652 , -1464.26480796, -1464.12289172,\n",
      +       "        -1463.54337433, -1464.88015437, -1464.40718874, -1464.79546305,\n",
      +       "        -1465.52698857, -1464.1447586 , -1463.41898413, -1463.70651022,\n",
      +       "        -1463.78694488, -1468.46392613, -1465.39952163, -1465.39075384,\n",
      +       "        -1464.59394537, -1463.26803941, -1463.97749554, -1463.72609594,\n",
      +       "        -1463.88653413, -1467.47148247, -1467.00506086, -1465.82668198,\n",
      +       "        -1465.85019549, -1469.40105186, -1464.09344891, -1465.71704835,\n",
      +       "        -1463.64702007, -1466.69008907, -1466.47760704, -1466.39195817,\n",
      +       "        -1463.53871152, -1463.46547306, -1463.3562975 , -1463.87482863,\n",
      +       "        -1463.63280172, -1463.92924661, -1463.6904116 , -1463.43574683,\n",
      +       "        -1464.06567763, -1464.13002002, -1464.73889944, -1463.99307361,\n",
      +       "        -1463.43008036, -1464.22110254, -1465.34904804, -1466.03933767,\n",
      +       "        -1463.36153191, -1463.42408504, -1463.78235136, -1463.80111059,\n",
      +       "        -1465.28529426, -1463.9901515 , -1463.89267862, -1463.38644696,\n",
      +       "        -1465.09840365, -1464.52524756, -1464.95078706, -1463.94953572,\n",
      +       "        -1464.05023816, -1466.01635208, -1464.14624355, -1463.52844016,\n",
      +       "        -1463.35914896, -1463.45486168, -1466.06848013, -1464.32341995,\n",
      +       "        -1464.04413377, -1463.22923427, -1464.54557384, -1467.20519979,\n",
      +       "        -1466.49821477, -1465.4735827 , -1468.39778495, -1467.52118741,\n",
      +       "        -1465.61721574, -1465.19599547, -1464.96724288, -1464.18181534,\n",
      +       "        -1464.24997858, -1463.85330267, -1463.79285864, -1463.97625332,\n",
      +       "        -1463.84415506, -1464.76179393, -1465.93739479, -1464.77839867,\n",
      +       "        -1465.28170624, -1464.68016394, -1463.37575072, -1466.08262478,\n",
      +       "        -1463.87457086, -1463.89253015, -1463.84351907, -1464.08219578,\n",
      +       "        -1464.72699984, -1465.96165043, -1465.71201292, -1463.93034093,\n",
      +       "        -1464.62052889, -1463.43955106, -1464.11888085, -1465.69308725]])
    • energy
      (chain, draw)
      float64
      1.468e+03 1.467e+03 ... 1.469e+03
      array([[1468.18577063, 1466.64012706, 1465.59261666, 1465.14390109,\n",
      +       "        1466.19667468, 1467.00473032, 1469.88194198, 1465.82006443,\n",
      +       "        1466.84696103, 1466.18562367, 1464.32370102, 1464.18095653,\n",
      +       "        1464.76729148, 1469.67222521, 1468.60991868, 1468.42079513,\n",
      +       "        1465.34305444, 1466.292819  , 1464.99576604, 1464.7488188 ,\n",
      +       "        1465.38335154, 1464.39382334, 1464.91254362, 1466.87654271,\n",
      +       "        1467.41367071, 1464.15743639, 1465.7469733 , 1464.97523025,\n",
      +       "        1466.10427174, 1468.40344131, 1466.06620284, 1465.9082697 ,\n",
      +       "        1465.99793075, 1465.21592755, 1465.48792723, 1465.11583154,\n",
      +       "        1465.78163377, 1465.32332817, 1465.7279705 , 1464.70929203,\n",
      +       "        1467.49547595, 1466.30235234, 1467.2117873 , 1464.48576739,\n",
      +       "        1463.22931144, 1465.34939576, 1466.30528312, 1469.55003226,\n",
      +       "        1466.16506568, 1465.90710297, 1466.0749071 , 1466.15727519,\n",
      +       "        1467.31230576, 1467.53793063, 1466.14538244, 1466.02629518,\n",
      +       "        1467.80470797, 1467.11736825, 1466.83281492, 1464.43215798,\n",
      +       "        1466.38553647, 1465.22848781, 1467.10407008, 1464.3586927 ,\n",
      +       "        1465.43045466, 1463.75267064, 1464.157826  , 1465.79518081,\n",
      +       "        1466.16159078, 1465.93688294, 1464.96606848, 1465.697751  ,\n",
      +       "        1467.90119239, 1468.40167536, 1468.7833383 , 1467.19817614,\n",
      +       "        1465.10056173, 1464.51941497, 1466.31281528, 1465.69618269,\n",
      +       "        1464.52608471, 1465.61152231, 1465.33650081, 1464.06456469,\n",
      +       "        1465.5778359 , 1469.05942338, 1469.17141104, 1466.38312002,\n",
      +       "        1465.10363664, 1468.5770254 , 1465.36530529, 1466.47197178,\n",
      +       "        1468.14448169, 1469.97257071, 1466.65986701, 1464.72875724,\n",
      +       "        1464.31482345, 1463.65454273, 1463.96182738, 1463.97647152,\n",
      +       "        1465.59563728, 1464.72637519, 1464.46277335, 1464.39396727,\n",
      +       "        1463.75620972, 1463.68852199, 1463.74132801, 1464.1794596 ,\n",
      +       "        1465.32043665, 1465.26560137, 1465.15441468, 1466.7476988 ,\n",
      +       "        1468.17851165, 1464.73830426, 1464.45834723, 1465.3304671 ,\n",
      +       "        1465.1773418 , 1467.57884124, 1464.070304  , 1464.30967223,\n",
      +       "        1466.09489173, 1465.34404321, 1464.72181886, 1464.09256176,\n",
      +       "        1464.95244565, 1466.4563284 , 1467.56432849, 1469.80122845,\n",
      +       "        1467.69509904, 1468.32215544, 1464.70545613, 1465.28556933,\n",
      +       "        1463.76499659, 1464.3161511 , 1467.10623824, 1467.55294564,\n",
      +       "        1465.9389246 , 1465.95668379, 1467.89036394, 1465.99363631,\n",
      +       "        1465.56879947, 1465.87991879, 1465.06074355, 1464.96305787,\n",
      +       "        1465.26258753, 1465.35206726, 1465.74853736, 1465.75033133,\n",
      +       "        1463.59446657, 1465.17052605, 1466.33395756, 1468.05243478,\n",
      +       "        1465.98345967, 1470.52996449, 1468.65389394, 1467.58805946,\n",
      +       "        1466.70996985, 1464.77790051, 1464.27890044, 1467.29656335,\n",
      +       "        1465.17747887, 1464.36486365, 1467.33109569, 1465.63186295,\n",
      +       "        1466.98854005, 1465.36676889, 1466.56523874, 1467.99032275,\n",
      +       "        1466.48137766, 1465.51623218, 1466.95630708, 1466.24328488,\n",
      +       "        1465.7244003 , 1465.81341154, 1465.10470925, 1465.35359357,\n",
      +       "        1465.32005932, 1463.77638873, 1464.09378831, 1464.65235558,\n",
      +       "        1465.29404555, 1464.23181123, 1464.12433496, 1463.71090564,\n",
      +       "        1464.28302458, 1468.09998472, 1467.97654076, 1465.72911122,\n",
      +       "        1467.50353623, 1464.11141354, 1469.9346251 , 1464.63301479,\n",
      +       "        1465.8568127 , 1466.97897421, 1468.57013399, 1467.10461056,\n",
      +       "        1465.6651639 , 1466.57743073, 1464.78036652, 1465.1698644 ],\n",
      +       "       [1467.82528345, 1467.11698311, 1464.53282924, 1464.32814446,\n",
      +       "        1464.79398047, 1465.57136875, 1465.11820072, 1465.84270064,\n",
      +       "        1465.47169988, 1465.32191757, 1464.22946452, 1466.48483171,\n",
      +       "        1466.17096818, 1466.42697219, 1466.58356589, 1469.37311249,\n",
      +       "        1466.31031809, 1465.81249008, 1466.13131322, 1466.8273143 ,\n",
      +       "        1466.87543602, 1465.6469366 , 1464.91759968, 1464.43942242,\n",
      +       "        1464.94813633, 1464.34362367, 1465.14035817, 1464.49432986,\n",
      +       "        1464.69316299, 1466.82480417, 1464.56454075, 1464.84978859,\n",
      +       "        1469.25555958, 1465.39432423, 1463.71989194, 1463.95690211,\n",
      +       "        1463.7932798 , 1464.16303246, 1465.05977121, 1464.37258981,\n",
      +       "        1467.6919583 , 1467.90495554, 1468.18389498, 1465.64208545,\n",
      +       "        1469.85879681, 1468.01061587, 1469.49226297, 1466.33053829,\n",
      +       "        1465.50984356, 1465.7149665 , 1467.02345823, 1467.92938345,\n",
      +       "        1465.94060257, 1465.82515142, 1464.82134448, 1465.67942062,\n",
      +       "        1465.26594143, 1465.20551062, 1467.10287089, 1466.71036645,\n",
      +       "        1466.90415932, 1468.21192946, 1468.13650125, 1465.89388616,\n",
      +       "        1464.22709167, 1464.05335078, 1464.44908815, 1463.97543497,\n",
      +       "        1463.88683445, 1463.41550466, 1464.48993817, 1467.42477537,\n",
      +       "        1471.72623095, 1467.26964996, 1466.214764  , 1466.33430793,\n",
      +       "        1470.65034071, 1469.08898414, 1468.10379376, 1468.19192122,\n",
      +       "        1466.50011092, 1467.14497544, 1466.11210931, 1465.50667017,\n",
      +       "        1467.6826909 , 1465.46353708, 1464.5222188 , 1463.73254421,\n",
      +       "        1465.82118722, 1465.12284501, 1465.63906562, 1465.20264136,\n",
      +       "        1464.88411531, 1463.61335486, 1463.78990937, 1464.05272474,\n",
      +       "        1464.13473629, 1463.68315348, 1464.25997316, 1464.74222359,\n",
      +       "        1464.38521398, 1466.03251819, 1467.25948894, 1466.22273295,\n",
      +       "        1466.21360357, 1466.30007145, 1467.10296002, 1465.92641789,\n",
      +       "        1464.14860978, 1464.0854306 , 1463.59167771, 1465.80898432,\n",
      +       "        1464.22055057, 1465.13744742, 1464.87370467, 1468.63585881,\n",
      +       "        1465.85626406, 1465.36742748, 1465.29848777, 1464.76233544,\n",
      +       "        1467.65353231, 1463.94895619, 1468.66367739, 1466.58212896,\n",
      +       "        1469.3643872 , 1469.19531921, 1464.16073912, 1466.80986605,\n",
      +       "        1465.35561782, 1464.04879263, 1464.31157754, 1464.12365417,\n",
      +       "        1464.34786573, 1467.46883744, 1465.419647  , 1464.49564305,\n",
      +       "        1463.99839298, 1467.34703095, 1465.41543942, 1468.78778423,\n",
      +       "        1465.94472907, 1465.61075168, 1466.6550564 , 1469.27355449,\n",
      +       "        1472.98110523, 1466.43842198, 1466.95445093, 1465.13068171,\n",
      +       "        1466.02714441, 1468.96153662, 1465.45722035, 1468.00170582,\n",
      +       "        1464.81008175, 1464.58922262, 1464.30798019, 1465.61317276,\n",
      +       "        1468.96883511, 1468.27539279, 1468.94076067, 1467.56067045,\n",
      +       "        1465.17621913, 1465.68751432, 1472.31773081, 1472.8085743 ,\n",
      +       "        1468.5914057 , 1465.87432453, 1466.22110381, 1465.68784822,\n",
      +       "        1463.97865612, 1465.69265582, 1469.63956788, 1468.97418842,\n",
      +       "        1467.60524987, 1466.12224719, 1465.09891583, 1465.483205  ,\n",
      +       "        1465.31235903, 1466.14540208, 1469.40033523, 1464.13086976,\n",
      +       "        1467.52189597, 1466.3501372 , 1466.52526866, 1464.87918042,\n",
      +       "        1470.1430256 , 1468.48131254, 1467.04726617, 1465.2759555 ,\n",
      +       "        1466.52755901, 1466.05858086, 1466.48095663, 1466.56554999,\n",
      +       "        1465.78848678, 1464.87918016, 1465.02030838, 1464.74890411,\n",
      +       "        1467.20314007, 1467.54091472, 1468.28387874, 1467.57753909],\n",
      +       "       [1467.06675161, 1467.4592919 , 1467.19441794, 1466.57040241,\n",
      +       "        1467.14244236, 1466.8167796 , 1465.28686423, 1465.64083096,\n",
      +       "        1464.02705228, 1466.03363218, 1469.06974524, 1467.83882367,\n",
      +       "        1465.35022001, 1468.10395539, 1465.44176641, 1467.85851403,\n",
      +       "        1469.23557122, 1466.89657077, 1467.19464922, 1466.24533123,\n",
      +       "        1466.5733377 , 1463.9686486 , 1464.32502099, 1464.91610388,\n",
      +       "        1465.1466251 , 1466.03292105, 1465.96245093, 1464.36978999,\n",
      +       "        1466.57415129, 1465.78393053, 1466.163598  , 1466.08068294,\n",
      +       "        1466.43858663, 1464.85662539, 1464.85115309, 1466.90352265,\n",
      +       "        1466.58713688, 1465.18083505, 1464.7034378 , 1465.85872474,\n",
      +       "        1465.34659255, 1466.06030163, 1465.84428181, 1468.5581896 ,\n",
      +       "        1465.17672238, 1465.63846283, 1468.98172127, 1467.76300527,\n",
      +       "        1466.55133608, 1466.19813295, 1465.67676808, 1465.77737913,\n",
      +       "        1465.26480584, 1468.34861369, 1465.99134274, 1468.33802852,\n",
      +       "        1469.64819254, 1466.76195807, 1465.48187037, 1465.8036191 ,\n",
      +       "        1468.40459387, 1467.42456521, 1465.73355504, 1468.16404809,\n",
      +       "        1468.01612391, 1469.94528299, 1469.13497576, 1465.00307956,\n",
      +       "        1464.76651759, 1463.45012264, 1468.15089116, 1466.57117891,\n",
      +       "        1467.45652664, 1465.43688562, 1465.11683081, 1465.34371851,\n",
      +       "        1464.74694665, 1466.27530978, 1466.14535724, 1464.98283114,\n",
      +       "        1464.77180819, 1465.77165516, 1465.94694616, 1468.03212109,\n",
      +       "        1470.46946984, 1466.88929795, 1464.94017964, 1465.33758499,\n",
      +       "        1467.08094364, 1464.45119208, 1465.77607283, 1467.21110468,\n",
      +       "        1467.69670385, 1464.76975859, 1464.23110834, 1466.31696308,\n",
      +       "        1466.38624124, 1465.86965207, 1466.12647635, 1467.10674232,\n",
      +       "        1467.47409378, 1466.52823335, 1466.87465967, 1465.52150676,\n",
      +       "        1465.24080874, 1465.31368103, 1463.99668851, 1463.23183423,\n",
      +       "        1464.64501033, 1464.25540697, 1463.68639481, 1468.15834176,\n",
      +       "        1468.26318386, 1464.12469262, 1465.7272836 , 1467.21203685,\n",
      +       "        1467.51719815, 1470.33451386, 1468.82071738, 1470.08920895,\n",
      +       "        1469.41977532, 1467.64187768, 1465.87215642, 1464.49120899,\n",
      +       "        1466.40812591, 1467.22020649, 1467.07133791, 1467.24810497,\n",
      +       "        1466.16511196, 1465.17546556, 1465.62654794, 1464.43895937,\n",
      +       "        1465.67624283, 1468.20090479, 1472.31320449, 1472.12283389,\n",
      +       "        1468.17077896, 1469.74070509, 1467.91495084, 1465.85939402,\n",
      +       "        1464.79260767, 1465.14787356, 1464.69002075, 1464.96985936,\n",
      +       "        1464.38885565, 1464.22734689, 1463.78493681, 1465.24655119,\n",
      +       "        1465.71975168, 1465.26618459, 1465.20388694, 1466.79780852,\n",
      +       "        1465.33894147, 1465.4103846 , 1465.66997295, 1466.0840662 ,\n",
      +       "        1466.87923016, 1465.53775243, 1468.80044989, 1466.95823609,\n",
      +       "        1467.79222372, 1464.63395129, 1465.98405096, 1466.11745715,\n",
      +       "        1465.25958704, 1469.54133324, 1470.03155951, 1470.23777181,\n",
      +       "        1466.13583438, 1465.26479921, 1466.93610584, 1463.60223063,\n",
      +       "        1464.75739264, 1466.67964431, 1463.76194831, 1468.14779887,\n",
      +       "        1466.45871431, 1464.64838986, 1467.15136658, 1468.5345893 ,\n",
      +       "        1466.91338157, 1465.12556643, 1463.92296513, 1466.52733876,\n",
      +       "        1464.85727066, 1465.26440301, 1465.66978012, 1467.15943131,\n",
      +       "        1464.89148975, 1464.36093352, 1465.22387467, 1466.02165742,\n",
      +       "        1467.28093566, 1469.41224716, 1468.03907867, 1466.86323991,\n",
      +       "        1465.26176227, 1467.52445447, 1465.82555106, 1465.26389171],\n",
      +       "       [1467.0719494 , 1465.664294  , 1466.38171851, 1465.05917038,\n",
      +       "        1465.35018974, 1465.75909424, 1465.24758558, 1464.50080566,\n",
      +       "        1465.7790124 , 1466.88636854, 1467.70703666, 1466.63586872,\n",
      +       "        1466.8369669 , 1468.42286196, 1465.23695993, 1464.34669966,\n",
      +       "        1465.43439494, 1466.34045529, 1465.31046851, 1464.40784103,\n",
      +       "        1464.8150293 , 1464.17631363, 1464.91962285, 1467.66672115,\n",
      +       "        1470.41211801, 1468.49804499, 1466.94550662, 1466.50103092,\n",
      +       "        1464.991271  , 1468.68859589, 1469.59056067, 1466.48781784,\n",
      +       "        1465.42494255, 1466.59237207, 1466.26936048, 1466.29791738,\n",
      +       "        1469.99795874, 1468.93535828, 1464.81173694, 1465.78688691,\n",
      +       "        1464.48098108, 1465.03739198, 1466.78529247, 1467.79584809,\n",
      +       "        1464.60669395, 1464.2366254 , 1468.93626242, 1468.81650023,\n",
      +       "        1467.74214244, 1466.36317791, 1466.785993  , 1466.29302059,\n",
      +       "        1468.21311392, 1466.64914873, 1464.65669018, 1464.03910212,\n",
      +       "        1464.29329147, 1465.36983734, 1465.32980978, 1467.70693168,\n",
      +       "        1467.81575758, 1469.29430012, 1466.49097535, 1466.26256745,\n",
      +       "        1467.67969599, 1466.90548309, 1466.81662428, 1464.25213279,\n",
      +       "        1464.61049522, 1464.39738641, 1463.9381852 , 1463.98688399,\n",
      +       "        1464.80077154, 1466.24956347, 1465.94730692, 1467.10903665,\n",
      +       "        1467.28325594, 1465.26987484, 1463.8200812 , 1464.39867936,\n",
      +       "        1464.25012765, 1465.36436396, 1465.96692653, 1465.42279361,\n",
      +       "        1466.6621471 , 1466.5415678 , 1464.13311223, 1463.72519773,\n",
      +       "        1464.01193538, 1466.93919621, 1468.12228772, 1465.61069997,\n",
      +       "        1465.33562689, 1464.77097913, 1467.36353695, 1466.75386071,\n",
      +       "        1467.34957374, 1466.6823524 , 1466.01752308, 1465.41126443,\n",
      +       "        1464.34503373, 1467.2340404 , 1465.27560351, 1464.80216209,\n",
      +       "        1466.6124385 , 1467.29187512, 1464.83466242, 1463.84582967,\n",
      +       "        1464.55484459, 1469.26238885, 1468.69948366, 1465.56181645,\n",
      +       "        1469.12011239, 1465.00953977, 1465.88469226, 1464.95501637,\n",
      +       "        1464.11068332, 1468.82450095, 1467.59646105, 1468.07599473,\n",
      +       "        1466.11788511, 1470.16000545, 1469.59539562, 1466.94554842,\n",
      +       "        1466.29478068, 1468.37638919, 1468.31770482, 1466.69837403,\n",
      +       "        1467.04935251, 1463.7951827 , 1463.83629578, 1463.95634284,\n",
      +       "        1465.37109996, 1464.02316341, 1464.80874407, 1464.19424665,\n",
      +       "        1465.65721249, 1466.24947259, 1466.42436871, 1466.59113798,\n",
      +       "        1464.12408723, 1464.65798707, 1466.06254289, 1467.02092349,\n",
      +       "        1466.93729083, 1464.01854824, 1464.42794316, 1464.76903663,\n",
      +       "        1465.99454704, 1465.7119775 , 1465.13796814, 1465.15934593,\n",
      +       "        1465.39703797, 1466.94809501, 1466.00274218, 1465.93296998,\n",
      +       "        1464.88524176, 1466.51491363, 1467.64169662, 1464.84006123,\n",
      +       "        1463.90612119, 1463.84257673, 1467.75879733, 1468.00883685,\n",
      +       "        1465.16457533, 1464.19297971, 1464.67476501, 1469.98291327,\n",
      +       "        1467.85959381, 1468.12172702, 1471.95464969, 1470.01238149,\n",
      +       "        1467.94893527, 1466.3336355 , 1466.67359024, 1468.44671649,\n",
      +       "        1470.48354834, 1465.5366741 , 1464.43922853, 1464.67124391,\n",
      +       "        1464.54574142, 1465.75542647, 1466.53493731, 1466.56444963,\n",
      +       "        1466.65275478, 1465.86847532, 1464.98830017, 1467.11980756,\n",
      +       "        1468.12069184, 1464.48954239, 1464.27791223, 1464.20121672,\n",
      +       "        1465.72322312, 1468.08543702, 1466.04616633, 1466.26896281,\n",
      +       "        1465.59254782, 1465.67414549, 1464.91248956, 1468.91233803]])
    • tune
      (chain, draw)
      bool
      True False False ... False False
      array([[ True, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [ True, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [ True, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False],\n",
      +       "       [ True, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False]])
    • tree_size
      (chain, draw)
      float64
      3.0 3.0 3.0 3.0 ... 7.0 7.0 7.0 7.0
      array([[3., 3., 3., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 1., 3., 1., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 1., 3., 3., 1., 3., 3., 3.,\n",
      +       "        1., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 1., 3., 3.,\n",
      +       "        3., 1., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 7., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 7., 3., 3., 3., 3., 3., 7., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 7., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        7., 1., 7., 3., 3., 3., 3., 3., 3., 3., 3., 3., 1., 1., 1., 7.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 1., 3., 1., 3., 3., 1., 3.],\n",
      +       "       [1., 3., 1., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 1., 3., 1., 3., 3., 3., 3., 3., 3., 3., 1.,\n",
      +       "        3., 1., 3., 7., 1., 3., 3., 3., 1., 3., 3., 3., 3., 7., 7., 3.,\n",
      +       "        3., 3., 3., 7., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 1., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 7., 3., 1., 3., 1., 3., 3.,\n",
      +       "        3., 3., 3., 3., 1., 3., 3., 3., 3., 1., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 1., 3., 3., 3., 3., 3., 3., 1., 3., 3., 1., 3., 1.,\n",
      +       "        3., 1., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 7., 3.,\n",
      +       "        7., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 3., 1.],\n",
      +       "       [3., 3., 7., 7., 7., 3., 3., 7., 3., 3., 3., 3., 7., 3., 3., 3.,\n",
      +       "        7., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 3., 7.,\n",
      +       "        3., 3., 1., 7., 3., 3., 3., 3., 1., 3., 1., 3., 7., 7., 3., 1.,\n",
      +       "        3., 3., 3., 3., 3., 7., 3., 3., 3., 7., 3., 3., 7., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 7., 3., 3., 3., 3., 7., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 7., 3., 3., 3., 3., 7., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 1., 3., 3., 7., 7., 7., 7., 3., 3., 3., 3., 3., 3., 3.,\n",
      +       "        3., 3., 3., 3., 3., 3., 1., 3., 3., 7., 3., 1., 7., 3., 1., 3.,\n",
      +       "        3., 3., 3., 3., 3., 7., 3., 3., 7., 3., 7., 7., 3., 3., 7., 3.,\n",
      +       "        7., 3., 3., 3., 3., 1., 3., 3., 1., 3., 3., 3., 3., 3., 3., 1.,\n",
      +       "        3., 7., 3., 7., 7., 3., 1., 3., 7., 7., 3., 3., 3., 3., 1., 3.,\n",
      +       "        7., 3., 3., 7., 3., 7., 3., 3., 3., 1., 3., 7., 3., 3., 3., 3.,\n",
      +       "        3., 3., 1., 3., 3., 3., 3., 3.],\n",
      +       "       [3., 7., 7., 7., 7., 7., 7., 7., 7., 3., 7., 7., 3., 7., 7., 3.,\n",
      +       "        7., 7., 7., 7., 7., 3., 7., 7., 3., 3., 7., 7., 7., 3., 3., 7.,\n",
      +       "        3., 7., 7., 7., 7., 7., 7., 7., 3., 7., 3., 3., 7., 7., 7., 3.,\n",
      +       "        7., 7., 3., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 3., 3.,\n",
      +       "        7., 1., 3., 7., 7., 7., 7., 7., 3., 7., 7., 7., 7., 7., 7., 7.,\n",
      +       "        7., 3., 7., 3., 7., 3., 7., 3., 7., 7., 7., 7., 7., 7., 7., 7.,\n",
      +       "        7., 7., 7., 7., 7., 7., 7., 3., 7., 7., 7., 7., 7., 7., 3., 3.,\n",
      +       "        7., 7., 3., 7., 7., 7., 7., 3., 1., 3., 3., 7., 3., 7., 7., 3.,\n",
      +       "        3., 7., 3., 7., 7., 7., 7., 3., 3., 7., 7., 7., 5., 3., 7., 7.,\n",
      +       "        7., 7., 7., 7., 3., 7., 7., 7., 7., 7., 7., 3., 7., 7., 7., 7.,\n",
      +       "        7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 3., 7., 7., 7.,\n",
      +       "        7., 7., 7., 7., 7., 7., 3., 7., 7., 3., 7., 7., 7., 7., 7., 7.,\n",
      +       "        7., 7., 1., 7., 7., 7., 7., 7.]])
    • log_likelihood
      (chain, draw, developer)
      float64
      -28.14 -44.61 ... -235.5 -269.6
      array([[[ -28.13723386,  -44.61332231, -138.09733841, -241.93197266,\n",
      +       "         -276.29695343],\n",
      +       "        [ -28.42514273,  -45.15468275, -137.89834545, -243.56495215,\n",
      +       "         -282.18833223],\n",
      +       "        [ -28.17509029,  -44.68662944, -137.98573755, -242.09041623,\n",
      +       "         -277.19390041],\n",
      +       "        ...,\n",
      +       "        [ -28.98771143,  -46.17565417, -142.9508826 , -251.3434499 ,\n",
      +       "         -288.4574816 ],\n",
      +       "        [ -29.02524349,  -46.25141967, -143.00484781, -251.67966067,\n",
      +       "         -289.30183752],\n",
      +       "        [ -27.91471221,  -44.2083809 , -136.08944979, -238.83760294,\n",
      +       "         -273.79316137]],\n",
      +       "\n",
      +       "       [[ -29.8825819 ,  -47.81280049, -147.15432364, -260.35676153,\n",
      +       "         -301.78173498],\n",
      +       "        [ -28.01304312,  -44.4186468 , -137.04975926, -240.5775771 ,\n",
      +       "         -275.68223656],\n",
      +       "        [ -28.14646198,  -44.66357305, -137.98877743, -242.21347686,\n",
      +       "         -277.44683844],\n",
      +       "        ...,\n",
      +       "        [ -27.58572347,  -43.56210723, -132.04820424, -232.82369877,\n",
      +       "         -269.66292167],\n",
      +       "        [ -27.3254142 ,  -43.09658735, -130.49799936, -230.00948205,\n",
      +       "         -266.33333166],\n",
      +       "        [ -27.39036157,  -43.23580173, -131.38357009, -231.38979388,\n",
      +       "         -267.3903341 ]],\n",
      +       "\n",
      +       "       [[ -28.33075804,  -44.96900164, -139.1448999 , -244.02365548,\n",
      +       "         -279.11256408],\n",
      +       "        [ -28.16579933,  -44.66235526, -135.56067605, -239.76029041,\n",
      +       "         -278.72800635],\n",
      +       "        [ -28.31016342,  -44.93415053, -136.9302808 , -241.91835164,\n",
      +       "         -280.53924908],\n",
      +       "        ...,\n",
      +       "        [ -27.34692548,  -43.15608095, -132.27599399, -231.94518371,\n",
      +       "         -265.87619022],\n",
      +       "        [ -28.78266077,  -45.77126312, -140.19973562, -247.36609664,\n",
      +       "         -286.0165359 ],\n",
      +       "        [ -28.49782007,  -45.2350344 , -138.80740549, -244.30061674,\n",
      +       "         -281.41271509]],\n",
      +       "\n",
      +       "       [[ -28.39913747,  -45.08739581, -139.19657849, -244.4024134 ,\n",
      +       "         -280.16025009],\n",
      +       "        [ -27.96191483,  -44.32798124, -136.40655135, -239.72463855,\n",
      +       "         -275.31308044],\n",
      +       "        [ -28.98079196,  -46.1345604 , -141.87351296, -250.04592416,\n",
      +       "         -288.40686164],\n",
      +       "        ...,\n",
      +       "        [ -28.25834432,  -44.82738144, -137.73155158, -242.23020218,\n",
      +       "         -278.62654236],\n",
      +       "        [ -28.96320604,  -46.14683928, -141.96848244, -250.46386219,\n",
      +       "         -289.19925731],\n",
      +       "        [ -27.64660558,  -43.6955904 , -134.31876687, -235.45474678,\n",
      +       "         -269.60489003]]])
  • created_at :
    2019-11-17T20:56:10.018130
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, developer: 5, draw: 200)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 193 194 195 196 197 198 199\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " energy_error (chain, draw) float64 0.5124 -0.2888 ... 0.07027 0.1273\n", + " mean_tree_accept (chain, draw) float64 0.5318 1.0 0.9727 ... 0.9433 0.8357\n", + " step_size_bar (chain, draw) float64 0.9268 0.9268 ... 0.6053 0.6053\n", + " max_energy_error (chain, draw) float64 0.9052 -0.299 ... 0.1105 0.3647\n", + " step_size (chain, draw) float64 0.813 0.813 0.813 ... 1.129 1.129\n", + " depth (chain, draw) int64 2 2 2 2 2 2 2 1 2 ... 3 3 1 3 3 3 3 3\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " lp (chain, draw) float64 -1.466e+03 -1.465e+03 ... -1.466e+03\n", + " energy (chain, draw) float64 1.468e+03 1.467e+03 ... 1.469e+03\n", + " tune (chain, draw) bool True False False ... False False False\n", + " tree_size (chain, draw) float64 3.0 3.0 3.0 3.0 ... 7.0 7.0 7.0 7.0\n", + " log_likelihood (chain, draw, developer) float64 -28.14 -44.61 ... -269.6\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:10.018130\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.sample_stats" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • developer: 5
    • draw: 200
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 195 196 197 198 199
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,\n",
      +       "       154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,\n",
      +       "       168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,\n",
      +       "       182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,\n",
      +       "       196, 197, 198, 199])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments
      (chain, draw, developer)
      float64
      1.823e+03 703.1 ... -14.05 356.9
      array([[[ 1.82340671e+03,  7.03125936e+02,  4.34619863e+02,\n",
      +       "         -4.74809137e+02,  2.81250898e+03],\n",
      +       "        [ 1.21359336e+03,  9.20959455e+01,  2.48006737e+00,\n",
      +       "          1.01123292e+03,  7.66588615e+02],\n",
      +       "        [ 1.66885174e+03,  2.56985719e+03,  4.30732935e+02,\n",
      +       "          1.60980087e+03,  1.24462334e+03],\n",
      +       "        ...,\n",
      +       "        [ 7.46132231e+02,  4.71997364e+02,  9.32854767e+02,\n",
      +       "         -2.21934864e+02,  5.39695958e+02],\n",
      +       "        [ 4.67791901e+02, -4.54700040e+02, -4.19693379e+02,\n",
      +       "          1.22679189e+02,  2.24851492e+03],\n",
      +       "        [-1.59988738e+03,  2.02915307e+02,  3.03050097e+03,\n",
      +       "          9.06315053e+02,  1.64343345e+03]],\n",
      +       "\n",
      +       "       [[ 2.56605013e+02,  9.09973793e+02,  1.30683414e+03,\n",
      +       "          1.74446964e+03, -1.67829345e+03],\n",
      +       "        [ 6.07316358e+02, -8.86206186e+01, -1.26812491e+03,\n",
      +       "         -1.09457041e+03,  9.09200142e+02],\n",
      +       "        [ 4.22043429e+02,  1.20980115e+03, -3.56960966e+02,\n",
      +       "          1.24403880e+03,  2.04204975e+03],\n",
      +       "        ...,\n",
      +       "        [-2.41483502e+03,  8.08573957e+02,  9.03539227e+02,\n",
      +       "          6.58934079e+01,  1.94891838e+03],\n",
      +       "        [-1.03302044e+02, -1.84869875e+03,  4.32409654e+02,\n",
      +       "         -8.38301953e+01,  2.20856111e+03],\n",
      +       "        [ 5.86005729e+02, -1.14282916e+03,  6.40675254e+02,\n",
      +       "          8.23312055e+02, -5.38457201e+02]],\n",
      +       "\n",
      +       "       [[ 2.81327412e+03,  4.87175030e+02,  5.13156700e+01,\n",
      +       "          2.42391914e+02,  3.54551476e+03],\n",
      +       "        [ 6.26711128e+02, -1.48698838e+03,  2.05584422e+03,\n",
      +       "          4.18595123e+02,  6.37264642e+02],\n",
      +       "        [ 9.80683627e+02,  1.88176400e+02, -7.06076262e+02,\n",
      +       "          3.33588569e+02,  3.66858950e+02],\n",
      +       "        ...,\n",
      +       "        [ 1.19727715e+03,  3.46159354e+02,  1.30826661e+03,\n",
      +       "          3.04497968e+03,  1.56044731e+03],\n",
      +       "        [ 2.28244222e+03, -1.46514691e+03,  1.21799161e+03,\n",
      +       "          8.43070789e+02,  1.61791386e+03],\n",
      +       "        [-1.32344842e+02,  4.51989532e+02, -1.25732513e+03,\n",
      +       "         -3.61633794e+02, -9.89742181e+01]],\n",
      +       "\n",
      +       "       [[ 8.25692142e+02,  1.74605817e+03, -2.35231059e+03,\n",
      +       "          3.47651994e+02,  1.40736699e+03],\n",
      +       "        [ 3.29025578e+02,  3.38814314e+02,  2.62323410e+03,\n",
      +       "          2.51218656e+03,  6.02410505e+02],\n",
      +       "        [ 9.26490859e+02,  2.73797514e+03,  2.36642389e+02,\n",
      +       "          1.86057663e+03,  6.68034408e+02],\n",
      +       "        ...,\n",
      +       "        [ 1.58467517e+03, -1.87778265e+03,  1.60540272e+03,\n",
      +       "         -6.05317167e+02, -1.00443341e+03],\n",
      +       "        [-1.44903367e+02, -5.41486960e+02,  7.38543404e+02,\n",
      +       "          1.12463465e+03,  1.07190653e+03],\n",
      +       "        [ 5.40836434e+01, -4.48763341e+02,  3.44405857e+02,\n",
      +       "         -1.40524715e+01,  3.56913079e+02]]])
  • created_at :
    2019-11-17T20:56:10.021047
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, developer: 5, draw: 200)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 ... 193 194 195 196 197 198 199\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments (chain, draw, developer) float64 1.823e+03 703.1 ... 356.9\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:10.021047\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.posterior_predictive" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • developer: 5
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments
      (developer)
      float64
      7.5e+03 1.01e+04 ... 2.75e+04
      array([ 7500., 10100., 18600., 25200., 27500.])
  • created_at :
    2019-11-17T20:56:10.024234
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (developer: 5)\n", + "Coordinates:\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments (developer) float64 7.5e+03 1.01e+04 ... 2.52e+04 2.75e+04\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:10.024234\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.observed_data" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • developer: 5
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • time_since_joined
      (developer)
      float64
      4.5 6.0 7.0 12.0 18.0
      array([ 4.5,  6. ,  7. , 12. , 18. ])
  • created_at :
    2019-11-17T20:56:10.024877
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (developer: 5)\n", + "Coordinates:\n", + " * developer (developer) object 'Alice' 'Bob' ... 'Danielle' 'Erika'\n", + "Data variables:\n", + " time_since_joined (developer) float64 4.5 6.0 7.0 12.0 18.0\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:10.024877\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.constant_data" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 1
    • developer: 5
    • draw: 150
    • chain
      (chain)
      int64
      0
      array([0])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 145 146 147 148 149
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments
      (chain, draw, developer)
      float64
      5.228 87.69 -6.826 ... 29.04 23.6
      array([[[ 5.22829797e+00,  8.76924401e+01, -6.82565720e+00,\n",
      +       "          4.04488554e+01,  1.13064345e+02],\n",
      +       "        [ 3.69400145e+01,  3.17824654e+01,  5.08489651e+01,\n",
      +       "          1.06555853e+02,  1.72536567e+02],\n",
      +       "        [-2.81895487e+01, -1.37652911e+01, -1.95021059e+01,\n",
      +       "         -3.28572846e+01, -3.76549802e+01],\n",
      +       "        [-6.00666752e+01, -7.39502272e+01, -5.08361940e+01,\n",
      +       "         -1.61807084e+02, -2.44273925e+02],\n",
      +       "        [-7.83550458e+01, -1.51310967e+02, -4.69538256e+01,\n",
      +       "         -1.51286724e+02, -2.06359139e+02],\n",
      +       "        [ 8.21262788e+01,  3.29232747e+01,  6.65056683e+01,\n",
      +       "          1.97416024e+02,  2.88950455e+02],\n",
      +       "        [-1.26704197e+01, -7.96052934e+01, -5.40532508e+01,\n",
      +       "         -1.39898644e+02, -2.49460377e+02],\n",
      +       "        [-4.00077142e+01, -1.41866290e+01,  1.01535249e+01,\n",
      +       "          1.72763750e+01, -3.41647299e+01],\n",
      +       "        [-4.70411219e+01,  1.87607442e+01, -6.22432596e+01,\n",
      +       "         -5.05398210e+01, -3.00683673e+01],\n",
      +       "        [ 7.96647116e+01, -2.54172916e+01,  3.59038097e+01,\n",
      +       "          7.14548442e+01,  7.18875365e+01],\n",
      +       "        [ 2.13757813e+01,  4.25374888e+01,  2.52383005e+01,\n",
      +       "          2.97253279e+01,  1.47602400e+02],\n",
      +       "        [ 4.65571067e+00,  2.62205730e+01,  2.95624689e+01,\n",
      +       "          3.31284136e+01, -8.10550545e+00],\n",
      +       "        [-1.43459693e+01, -1.61084273e+01, -1.84587052e+01,\n",
      +       "         -2.16269008e+01, -2.82775003e+01],\n",
      +       "        [ 1.33212601e+02,  1.71873472e+01,  1.93032636e+02,\n",
      +       "          1.46152044e+02,  3.40387321e+02],\n",
      +       "        [ 9.98395019e+00, -2.05956943e+00,  3.56237029e+01,\n",
      +       "          6.20021083e+01,  2.56994604e+01],\n",
      +       "        [ 3.70322850e+01,  5.17561176e+01,  6.25597627e+01,\n",
      +       "          1.06870371e+02,  1.59825374e+02],\n",
      +       "        [-2.09522530e+00,  5.00754172e+00,  2.08821662e+01,\n",
      +       "          8.17287170e+00, -1.38704473e+00],\n",
      +       "        [-1.80661399e+01, -1.58734918e+01, -1.74723712e+01,\n",
      +       "         -4.32972039e+01, -6.33203880e+01],\n",
      +       "        [-3.27392930e+01, -4.87185670e+01, -6.28798739e+01,\n",
      +       "         -1.09367204e+02, -1.59170298e+02],\n",
      +       "        [-8.09345924e+00, -3.33661454e+01, -2.39787783e+01,\n",
      +       "         -6.65617773e+01, -9.87460552e+01],\n",
      +       "        [-1.18721798e+02, -1.33805523e+02, -1.62504615e+02,\n",
      +       "         -2.80991212e+02, -4.03637849e+02],\n",
      +       "        [ 1.02347795e+01,  2.55145006e+01,  3.22491547e+01,\n",
      +       "          7.99644820e+01,  1.29723326e+02],\n",
      +       "        [ 3.32509183e+01,  5.46519640e+01,  5.15042746e+01,\n",
      +       "          4.87613537e+01,  8.18698300e+01],\n",
      +       "        [ 5.29056324e+01,  1.29998336e+02,  8.82704446e+01,\n",
      +       "          1.94349070e+02,  2.83669299e+02],\n",
      +       "        [-2.47776160e+01, -3.09732262e+01, -3.54760498e+01,\n",
      +       "         -5.09211500e+01, -7.02533323e+01],\n",
      +       "        [-3.59129367e+01, -6.49678528e+01, -1.00416812e+02,\n",
      +       "         -1.50859958e+02, -2.02594718e+02],\n",
      +       "        [ 7.40977350e+00, -4.97104942e+01,  1.46180777e+01,\n",
      +       "         -2.39893746e+02, -1.84766084e+02],\n",
      +       "        [ 2.49611521e+01, -3.26629943e+01, -2.29369886e+01,\n",
      +       "          7.56571786e+00, -4.30162616e+01],\n",
      +       "        [-6.48937340e+01, -9.01982256e+01, -1.18533099e+02,\n",
      +       "         -1.75367786e+02, -2.58637111e+02],\n",
      +       "        [ 1.41814427e+02,  2.07397591e+02,  1.50679455e+02,\n",
      +       "          2.79808334e+02,  3.85195011e+02],\n",
      +       "        [-9.73799187e+01, -1.47808856e+02, -1.85072092e+02,\n",
      +       "         -3.02735172e+02, -4.50513165e+02],\n",
      +       "        [-2.25614248e+01, -3.28228184e+01, -3.52519913e+01,\n",
      +       "         -4.37862873e+01, -6.50263187e+01],\n",
      +       "        [ 6.16860759e+01,  7.08271729e+01,  9.54298223e+01,\n",
      +       "          1.63864072e+02,  2.26336595e+02],\n",
      +       "        [-5.64077396e+00, -1.49178200e+01, -1.20781432e+01,\n",
      +       "         -3.62693477e+01, -2.62378193e+01],\n",
      +       "        [-1.47635064e+02, -9.92513129e+01, -1.08619844e+02,\n",
      +       "         -2.36685236e+02, -3.16811052e+02],\n",
      +       "        [ 3.83735279e+01,  5.54376310e+01,  5.91493269e+01,\n",
      +       "          1.06700116e+02,  1.64376451e+02],\n",
      +       "        [ 6.10449807e+01,  1.21867160e+02, -2.86749298e+01,\n",
      +       "          7.37029031e+01,  1.90675481e+02],\n",
      +       "        [-5.79037444e+01, -6.24284528e+01, -7.61741360e+01,\n",
      +       "         -1.39916335e+02, -1.93750025e+02],\n",
      +       "        [ 6.47232508e+01,  3.36518642e+01,  4.54888718e+01,\n",
      +       "          8.53976056e+01,  1.05325133e+02],\n",
      +       "        [-1.55573026e+01, -2.04932499e+01, -2.35297063e+01,\n",
      +       "         -4.01747776e+01, -6.01832652e+01],\n",
      +       "        [-5.59880131e+01,  9.69104624e+01, -7.38270354e+00,\n",
      +       "          4.10574890e+01,  3.24969411e+01],\n",
      +       "        [-2.57899272e+00, -3.32080171e+01,  3.93970774e+01,\n",
      +       "          2.41725299e+01, -7.06377064e+01],\n",
      +       "        [ 9.14773865e+00,  1.50944794e+01,  2.62080538e+01,\n",
      +       "          5.56825717e+01,  1.06274628e+02],\n",
      +       "        [ 1.96453164e+02, -2.70643197e+01,  4.77585110e+01,\n",
      +       "          5.88356592e+01,  4.82365764e+01],\n",
      +       "        [-7.34165632e+01, -7.07925518e+01, -9.52926625e+01,\n",
      +       "         -1.46555497e+02, -2.26754847e+02],\n",
      +       "        [-4.64866966e+00,  2.38679360e+00,  1.38106346e+01,\n",
      +       "         -2.57478546e+01, -5.12679802e+01],\n",
      +       "        [ 3.71611486e+01,  7.62687480e+01,  9.01861558e+01,\n",
      +       "          1.57470294e+02,  2.27578290e+02],\n",
      +       "        [-2.92956423e-01, -8.47546843e+00, -4.29761157e+01,\n",
      +       "         -1.10934799e+02, -9.12764811e+01],\n",
      +       "        [ 3.62183319e+00,  5.79058267e+00, -1.26694754e+01,\n",
      +       "         -4.56744639e+01, -3.01729855e+01],\n",
      +       "        [ 1.89845498e+01,  9.94969469e+01,  9.95841997e+01,\n",
      +       "          2.04085893e+02,  1.69406232e+02],\n",
      +       "        [-4.41564349e+00,  2.65185149e+00,  1.41288744e+01,\n",
      +       "          2.22918551e+01,  2.67672166e+01],\n",
      +       "        [ 2.02434711e+01,  4.31110159e+01,  3.15146009e+01,\n",
      +       "          4.78296090e+01,  2.43769658e+01],\n",
      +       "        [-2.30585398e+01, -2.60798440e+01, -2.56173571e+01,\n",
      +       "         -4.08463715e+01, -5.60798822e+01],\n",
      +       "        [ 2.76655664e+01,  4.06011463e+01,  3.00475922e+01,\n",
      +       "          1.07800560e+02,  1.55341135e+02],\n",
      +       "        [ 9.72138693e+01, -4.60362963e+01, -1.80599120e+01,\n",
      +       "         -8.75068040e+01,  5.97354643e+01],\n",
      +       "        [-1.67814388e+01,  1.09644867e+01,  7.96913061e+01,\n",
      +       "          7.58549249e+01, -3.10651945e+00],\n",
      +       "        [-1.09638395e+02, -5.89612627e+01, -1.19484185e+02,\n",
      +       "         -1.19083964e+02, -2.10214961e+02],\n",
      +       "        [ 8.58344931e+01,  1.47879471e+02,  1.86428108e+02,\n",
      +       "          2.72023800e+02,  4.12976665e+02],\n",
      +       "        [ 1.30931963e+02,  1.23928212e+02,  1.74618415e+02,\n",
      +       "          2.00051357e+02,  3.14334129e+02],\n",
      +       "        [ 5.44339572e+01,  2.87914363e+01,  6.36699093e+01,\n",
      +       "          6.94876472e+01,  1.04933770e+02],\n",
      +       "        [ 4.78704313e+01,  4.30279103e+01,  4.17082968e+01,\n",
      +       "          1.03739839e+02,  1.66495125e+02],\n",
      +       "        [-1.07698180e+02, -1.45979052e+02, -1.71810243e+02,\n",
      +       "         -2.97513906e+02, -4.50146360e+02],\n",
      +       "        [-9.30494461e+01, -1.31537585e+02, -4.81068007e+01,\n",
      +       "         -1.07076644e+02, -2.74880306e+02],\n",
      +       "        [-6.17251103e+01, -8.27445150e+01, -9.77164242e+01,\n",
      +       "         -1.72784388e+02, -2.61791441e+02],\n",
      +       "        [-1.56410468e+01, -1.99897243e+01, -5.11716685e+01,\n",
      +       "         -5.82632388e+01, -8.65940244e+01],\n",
      +       "        [ 7.73615167e+01,  9.53127060e+01,  1.16688866e+02,\n",
      +       "          1.90163961e+02,  2.87218935e+02],\n",
      +       "        [ 4.76725900e+01,  6.96921969e+01,  1.64663181e+02,\n",
      +       "          1.12097634e+02,  1.70585091e+02],\n",
      +       "        [-2.21686709e+01, -3.03437436e+01, -4.06937755e+01,\n",
      +       "         -7.22281713e+01, -1.06951266e+02],\n",
      +       "        [ 3.49790226e+01,  2.20500705e+01,  1.14555896e+02,\n",
      +       "          1.60700599e+02,  2.42835094e+02],\n",
      +       "        [-2.86290455e+01, -3.41968700e+01,  1.43460932e+00,\n",
      +       "         -6.78749909e+01, -5.72199814e+01],\n",
      +       "        [ 1.61826908e+01, -7.06840591e+00, -2.69470387e+00,\n",
      +       "         -9.62246660e-01,  8.78748785e+00],\n",
      +       "        [ 8.68549038e+01,  1.26649577e+02,  1.50024071e+02,\n",
      +       "          2.60081173e+02,  3.80117963e+02],\n",
      +       "        [ 6.66341965e+01,  4.06374600e+01,  1.23403834e+02,\n",
      +       "          1.43718876e+02,  2.85395283e+02],\n",
      +       "        [ 9.88852317e+00,  1.97580240e+01,  2.31032342e+01,\n",
      +       "          5.03884560e+01,  8.31214418e+01],\n",
      +       "        [ 2.93466167e+02, -7.77873069e+01,  5.86012768e+01,\n",
      +       "          1.20558106e+02,  1.68010170e+01],\n",
      +       "        [-3.01531442e+01, -3.28833041e+01, -3.00883082e+01,\n",
      +       "         -6.93440804e+01, -8.80972709e+01],\n",
      +       "        [ 3.20410136e+01,  5.34026653e+01,  5.18528449e+01,\n",
      +       "          1.83116929e+02,  1.03427286e+02],\n",
      +       "        [ 7.76593530e+00, -3.67082267e+01,  3.89085275e+01,\n",
      +       "         -2.14084024e+01,  1.50815873e+01],\n",
      +       "        [-2.49954994e+01, -4.09247805e+01, -4.94979695e+01,\n",
      +       "         -8.65172696e+01, -1.31452035e+02],\n",
      +       "        [-6.87217716e+01, -1.02277976e+02, -1.06660960e+02,\n",
      +       "         -1.85290813e+02, -2.24385463e+02],\n",
      +       "        [ 5.96835441e+00, -1.05086527e+00, -4.11932256e-02,\n",
      +       "         -1.91603935e+01, -2.92625289e+01],\n",
      +       "        [ 3.01893579e+01,  5.34462894e+01,  4.50501432e+01,\n",
      +       "          7.47004540e+01,  1.06046160e+02],\n",
      +       "        [ 4.86093769e+01,  6.22538481e+01,  7.46299564e+01,\n",
      +       "          1.18711885e+02,  1.60460663e+02],\n",
      +       "        [ 7.03444879e+00, -2.55584762e+01, -2.41240858e+01,\n",
      +       "         -5.59791358e+01, -9.11765006e+01],\n",
      +       "        [-5.62300187e+01, -7.40009217e+01, -8.53909473e+01,\n",
      +       "         -1.38260193e+02, -2.02398057e+02],\n",
      +       "        [-1.55221692e+01,  3.33066613e+01,  2.82968075e+01,\n",
      +       "          3.95142214e+01,  6.34965552e+01],\n",
      +       "        [-5.17041884e+01, -6.68539894e+01, -1.13690805e+02,\n",
      +       "         -9.37099156e+01, -1.62171112e+02],\n",
      +       "        [ 4.92655490e+01,  5.54779871e+01,  9.23413321e+01,\n",
      +       "          1.21589165e+02,  2.40190140e+02],\n",
      +       "        [-2.63878613e+01, -3.77717490e+01, -4.85270253e+01,\n",
      +       "         -9.38170097e+01, -1.16278625e+02],\n",
      +       "        [ 4.20006780e+01,  3.26432894e+01,  5.37931180e+01,\n",
      +       "          4.88120473e+01,  6.26978819e+01],\n",
      +       "        [-1.14830056e+01, -2.00836241e+01, -2.28019973e+01,\n",
      +       "         -4.92945412e+01, -8.11291504e+01],\n",
      +       "        [ 2.96389268e+01,  7.51253760e+01,  2.55051913e+01,\n",
      +       "          5.75524008e+01,  1.33998261e+02],\n",
      +       "        [ 3.50558885e+00, -5.35165471e+00, -2.43787257e+01,\n",
      +       "         -3.14128307e+01, -1.53702542e+01],\n",
      +       "        [ 3.27640030e+01, -4.24397328e+01, -2.17163586e+01,\n",
      +       "         -3.18204024e+01, -7.11876371e+01],\n",
      +       "        [ 8.69876111e+01,  8.36999132e+01,  1.05692661e+02,\n",
      +       "          5.29925761e+01,  1.66873736e+02],\n",
      +       "        [-3.46697768e+01, -9.66611752e+00, -4.57176078e+01,\n",
      +       "         -4.79449147e+01, -5.45406363e+01],\n",
      +       "        [-6.18675093e+00,  9.11437743e+00,  1.82297203e+01,\n",
      +       "         -1.19896502e+01, -1.93470242e+01],\n",
      +       "        [-3.97653411e+01, -6.29821933e+01, -3.11094594e+01,\n",
      +       "         -6.29657905e+01, -1.16023148e+02],\n",
      +       "        [ 2.28121387e+01,  8.92550503e+01,  6.70439915e+01,\n",
      +       "          1.95459737e+02,  2.52452803e+02],\n",
      +       "        [-6.66001000e+01, -6.77682953e+01, -1.38029392e+02,\n",
      +       "         -1.79887340e+02, -2.64451344e+02],\n",
      +       "        [ 3.85869562e+00, -7.22587653e+01, -3.61040144e+01,\n",
      +       "          4.11064041e+01, -3.84317956e+01],\n",
      +       "        [ 6.14110033e+01,  7.75344802e+01,  8.60275611e+01,\n",
      +       "          1.61076651e+02,  2.36051251e+02],\n",
      +       "        [ 3.80262212e+01,  5.75489897e+01,  6.34237472e+01,\n",
      +       "          8.95067681e+01,  1.44267004e+02],\n",
      +       "        [-2.54114933e+01, -4.48067283e+01, -5.09383676e+01,\n",
      +       "         -8.80070003e+01, -1.34812510e+02],\n",
      +       "        [ 1.48264961e+01,  2.00633808e+01,  1.73933385e+01,\n",
      +       "          1.61975634e+01,  1.69736543e+01],\n",
      +       "        [ 1.47054203e+01,  8.86727316e+01,  1.69010915e+01,\n",
      +       "          2.58091768e+01, -5.88982624e+01],\n",
      +       "        [ 9.65637707e+01, -2.03113168e+01,  1.99540108e+01,\n",
      +       "          1.21011911e+02,  1.32574534e+02],\n",
      +       "        [-5.78113776e+01, -7.28314795e+01, -6.74293542e+01,\n",
      +       "         -1.19465142e+02, -1.68986961e+02],\n",
      +       "        [ 6.38703161e+01,  6.59283647e+01,  8.77869260e+01,\n",
      +       "          1.54347972e+02,  2.51715181e+02],\n",
      +       "        [ 1.05545726e+00,  2.19462762e+01,  3.49543403e-01,\n",
      +       "         -9.99220784e+00, -9.09293730e+00],\n",
      +       "        [ 1.02097477e+01, -4.32101676e+00, -2.14772828e+00,\n",
      +       "         -1.80726471e+01,  9.43730391e+00],\n",
      +       "        [ 2.63309235e+01,  3.87793456e+01,  4.24946812e+01,\n",
      +       "          7.81560946e+01,  1.22823712e+02],\n",
      +       "        [ 5.55389287e+01,  9.81320406e+01,  8.77416459e+01,\n",
      +       "          1.67206865e+02,  2.61108825e+02],\n",
      +       "        [ 3.43972490e+01,  6.13677602e+01,  5.96667914e+01,\n",
      +       "          1.28167559e+02,  2.45845679e+02],\n",
      +       "        [-2.67783790e+01,  2.42855594e+01,  1.32708334e+01,\n",
      +       "         -2.08154891e+01, -4.33149527e+01],\n",
      +       "        [ 4.70575875e+01,  7.53193538e+01,  8.53375423e+01,\n",
      +       "          1.63317557e+02,  2.56151869e+02],\n",
      +       "        [ 2.54432523e+01,  2.36758918e+01, -6.93374711e+00,\n",
      +       "         -1.54510831e+01, -1.31933543e+02],\n",
      +       "        [-7.02838653e+01, -8.80112601e+01, -1.00134788e+02,\n",
      +       "         -1.60238730e+02, -2.32819486e+02],\n",
      +       "        [-3.44073267e+01, -1.60466680e+01, -6.11048175e+01,\n",
      +       "         -6.57988201e+01, -1.11083766e+02],\n",
      +       "        [ 4.25268996e+01,  8.65190458e+01,  7.88404477e+01,\n",
      +       "          9.36231947e+01,  1.63961516e+02],\n",
      +       "        [ 1.04209679e+02,  7.15227747e+01,  3.10283972e+01,\n",
      +       "          5.78545445e+01,  5.90340839e+01],\n",
      +       "        [-2.09849951e+01, -1.96332163e+01, -2.05747606e+01,\n",
      +       "         -1.20924311e+01, -3.48068858e+01],\n",
      +       "        [ 5.32791856e+01,  1.12122335e+02,  1.30288923e+02,\n",
      +       "          1.80023828e+02,  2.65902299e+02],\n",
      +       "        [ 2.43252856e+01,  1.72342808e+01,  2.70604604e+01,\n",
      +       "          7.04252223e+01,  1.22726348e+02],\n",
      +       "        [-6.87400192e+01, -1.01390792e+02, -1.62051261e+02,\n",
      +       "         -2.15014158e+02, -2.87180182e+02],\n",
      +       "        [ 9.51746616e+00,  2.53292033e+01,  3.13974609e+01,\n",
      +       "          5.32265041e+01,  9.42625300e+01],\n",
      +       "        [ 4.23731637e+01,  6.08964440e+01,  7.42420136e+01,\n",
      +       "          1.20938422e+02,  1.74217163e+02],\n",
      +       "        [ 6.08572970e+01,  7.91955868e+01,  1.45567808e+02,\n",
      +       "          2.18505287e+02,  3.20647926e+02],\n",
      +       "        [ 3.46765508e+01, -2.51540901e+01, -5.87138357e+00,\n",
      +       "         -8.74647945e+01, -7.23074560e+01],\n",
      +       "        [-3.75757377e+00, -2.29252567e+01,  5.68555991e+00,\n",
      +       "         -7.38193212e+00,  1.77270243e+01],\n",
      +       "        [ 3.69258801e+01, -2.51752548e+01,  7.90048374e+01,\n",
      +       "          5.07113263e+01,  2.45720346e+02],\n",
      +       "        [ 4.81684330e+01,  8.46626719e+01,  9.24616868e+01,\n",
      +       "          1.76160318e+02,  2.36405212e+02],\n",
      +       "        [-2.05674575e+01, -2.25817049e+01, -2.33373556e+01,\n",
      +       "         -2.48048475e+01, -1.05831733e+01],\n",
      +       "        [ 1.85033786e+01,  2.04412670e+01,  2.28815038e+01,\n",
      +       "          3.07758819e+01,  3.53026883e+01],\n",
      +       "        [-1.77041346e+01, -7.67629433e+00,  5.15032045e+01,\n",
      +       "          1.54485697e+01,  7.72480512e+01],\n",
      +       "        [ 5.83828823e+01,  9.70238124e+01,  1.12979110e+02,\n",
      +       "          2.01871836e+02,  3.01186064e+02],\n",
      +       "        [-2.64433770e+01, -6.28577816e+01,  3.21794828e+01,\n",
      +       "         -1.31876001e+02, -2.00950237e+02],\n",
      +       "        [-6.79823399e+01, -9.30224785e+01, -1.12970480e+02,\n",
      +       "         -1.89716410e+02, -2.84605972e+02],\n",
      +       "        [ 7.93057100e+01,  1.09824897e+02,  1.37497549e+02,\n",
      +       "          2.23886731e+02,  3.42300927e+02],\n",
      +       "        [-9.19492590e+01, -5.08220213e+01, -4.24036558e+01,\n",
      +       "         -1.12492550e+02, -1.28962406e+02],\n",
      +       "        [ 2.66719306e+01,  3.07642551e+01,  5.41284398e+01,\n",
      +       "          6.97347393e+01,  7.47999739e+01],\n",
      +       "        [ 3.84906484e+01,  4.35116044e+01,  5.59317160e+01,\n",
      +       "          1.11107353e+02,  1.44452630e+02],\n",
      +       "        [-2.47102080e+01,  7.90574113e+00, -1.33443378e+01,\n",
      +       "          7.08556466e+00,  5.13844065e+01],\n",
      +       "        [-3.09904678e+01, -2.84407264e+01,  2.60873319e+01,\n",
      +       "          3.77019183e+01,  4.27825043e+01],\n",
      +       "        [-2.07002514e+01, -1.35425536e+01, -4.12311606e+01,\n",
      +       "         -1.00636916e+02, -1.41105221e+02],\n",
      +       "        [-4.27139910e+01, -6.46253526e+01, -8.25384160e+01,\n",
      +       "         -1.47248570e+02, -2.15551851e+02],\n",
      +       "        [ 3.07000145e+01,  4.01867531e+01,  8.22113068e+00,\n",
      +       "          2.20304416e+01,  1.16744135e+01],\n",
      +       "        [ 8.25155000e+01,  1.22240866e+02,  1.47613195e+02,\n",
      +       "          2.50745942e+02,  3.60822446e+02],\n",
      +       "        [-3.08437668e+01,  2.22643764e+01,  1.91595601e+01,\n",
      +       "          2.87958721e+01,  5.02586811e+01],\n",
      +       "        [ 1.22175057e+01, -3.02607567e+01,  2.13478094e+01,\n",
      +       "          2.90366493e+01,  2.35981947e+01]]])
    • b0
      (chain, draw)
      float64
      -12.91 -2.018 ... 1.053 -15.27
      array([[-12.90787905,  -2.01768685,   4.7640892 ,  12.94834721,\n",
      +       "        -13.88450033,   2.65691747,   9.08035114,  -0.48519043,\n",
      +       "         -4.60413391,   8.72044807,  -2.35512671,  -0.71281207,\n",
      +       "         -8.80799961,  12.50660644,   1.05983238,  -4.05478493,\n",
      +       "         11.94753576,  -2.88163019,   1.01204977,   2.28146103,\n",
      +       "         -9.25738783, -22.402068  ,  11.17280265,  -6.28452389,\n",
      +       "         -9.08812021,   4.22673054,  -2.29942272,  10.5709208 ,\n",
      +       "         10.11561755,   7.63507441,  -1.15346136,  -7.68995914,\n",
      +       "          3.50254273,  -3.77954036, -10.54301818,  -4.1015333 ,\n",
      +       "          3.42424453, -10.3919477 ,  -6.41985228,  -2.62884279,\n",
      +       "         -8.04883425,  17.86984713, -20.86764993, -12.15796718,\n",
      +       "        -15.3199234 ,   4.74943501, -10.08942428,  -2.22900491,\n",
      +       "          5.69594138,   3.14756192,   7.32945432,   2.19773488,\n",
      +       "         -7.09402554,  -7.21913876,   6.73594594,   2.91709941,\n",
      +       "        -15.44553847,   6.62000872,  12.92121669,   9.49173462,\n",
      +       "          0.32644377,   6.58331331,   0.33642782,   6.06155604,\n",
      +       "          0.51219415,  -1.44738322,   6.70964558,   5.62073756,\n",
      +       "          6.18226992,  -4.10799643,   1.37264548,  -0.55631475,\n",
      +       "        -21.15429232, -13.74702644,  17.17401334, -13.87020463,\n",
      +       "         -6.93281309,   5.07091532,  -0.55938925,  -1.57541062,\n",
      +       "        -12.67401286,   3.69866964,   7.82804714,   8.26381982,\n",
      +       "         -9.50087011,   1.70698633, -11.22964377,   0.27639237,\n",
      +       "         -0.52655935,  20.77339954,  14.53669742, -13.57001493,\n",
      +       "          2.80784612, -21.63614702,  11.52596188,   7.29559342,\n",
      +       "         12.07711041,   7.23015123,  -2.4211762 , -19.27056744,\n",
      +       "         13.10407733,  -6.2662665 ,  15.69351419,   7.25916188,\n",
      +       "         20.96589065, -12.25936064,  -9.04530659, -12.23575813,\n",
      +       "         -9.80540687,  -5.16880618,  21.64071041,  -5.1850082 ,\n",
      +       "          7.83903461, -25.29876079,   3.10611541, -19.42693044,\n",
      +       "          1.89576791, -15.61472947,  -5.4275576 ,   4.74219262,\n",
      +       "        -25.93182998,  -4.16187881,   8.70736362,  -2.03648872,\n",
      +       "         -0.80608456, -15.85831403,  -7.03992105,   1.02561924,\n",
      +       "          7.69637806,  -5.48578124, -12.0917384 ,   7.89380194,\n",
      +       "        -19.88655544,  14.35992089, -12.03075374,  -4.89807618,\n",
      +       "         -6.91626151,   2.86987033,  10.05201087, -11.98600697,\n",
      +       "          4.73710449,   6.78915043, -12.37303792, -10.6646149 ,\n",
      +       "         -6.40217505,   8.38835126,  29.37308662,  -6.98990267,\n",
      +       "          1.05267865, -15.26866621]])
    • b1
      (chain, draw)
      float64
      3.752 8.683 -2.673 ... 1.052 2.671
      array([[  3.75212002,   8.6832381 ,  -2.67250699, -15.24047615,\n",
      +       "        -10.09821142,  13.90040768, -15.08315436,  -1.04037947,\n",
      +       "         -2.20368167,  10.18840757,   5.64721603,   1.42702613,\n",
      +       "         -1.09778208,  14.74012089,   3.82686006,   8.98380067,\n",
      +       "         -0.56168477,  -3.38712961,  -8.99764554,  -5.85842051,\n",
      +       "        -22.69125784,   8.26018506,   4.16862165,  16.14942244,\n",
      +       "         -3.43154211, -12.11707576, -11.20305875,  -0.14261516,\n",
      +       "        -16.50265076,  18.92533785, -25.47987698,  -3.09256078,\n",
      +       "         11.86947115,  -1.67558257, -18.22946736,   9.12565497,\n",
      +       "         10.2018241 , -10.27199408,   6.58716565,  -3.25863438,\n",
      +       "          0.24323082,  -2.15267277,   6.70552947,   5.26950968,\n",
      +       "        -10.4067374 ,  -4.89252477,  13.19142544,  -5.39915228,\n",
      +       "         -2.45221722,   9.70091639,   1.29215303,   2.03159404,\n",
      +       "         -2.80219466,   8.46456861,  -3.70982826,   3.14440918,\n",
      +       "        -11.2626975 ,  22.76725023,  18.14551889,   4.51956109,\n",
      +       "          8.99753555, -25.41603385, -15.17796017, -15.03997599,\n",
      +       "         -3.57772189,  16.138058  ,  14.34654042,  -6.15233457,\n",
      +       "          8.0193285 ,  -1.86526965,   0.21331234,  21.15548947,\n",
      +       "         16.00176554,   5.37395532,   5.79329029,  -4.47429399,\n",
      +       "          6.93367348,   1.20068797,  -6.91723967, -13.2841225 ,\n",
      +       "          0.51106968,   5.96059173,   8.71359603,  -4.73309195,\n",
      +       "        -10.77758702,   1.99151348,  -9.05809497,   9.80190633,\n",
      +       "         -6.66929403,   2.20194763,  -5.39778424,   8.61259115,\n",
      +       "         -1.29622233,  -0.50924203,   4.81883639,  -5.16378445,\n",
      +       "         -1.24831143,  -9.40568245,  12.99533187, -12.10457242,\n",
      +       "         -4.42695851,  14.00498934,   7.12655739,  -7.79565283,\n",
      +       "         -0.27369123,   4.45318067,   9.8353114 ,  -8.64079565,\n",
      +       "         13.87032611,  -0.31423716,  -1.78861894,   7.11245996,\n",
      +       "         13.73966286,  14.07093429,  -2.0012346 ,  15.30991938,\n",
      +       "         -3.83859603, -12.07905185,  -5.32338119,   8.64337391,\n",
      +       "          4.62191614,   0.17304584,  14.78028206,   6.56428539,\n",
      +       "        -17.32450717,   5.97428536,  10.28191899,  16.62754451,\n",
      +       "         -5.5028665 ,   2.4509916 ,   7.7997099 ,  12.61538171,\n",
      +       "          0.26483137,   1.05451839,   3.50752114,  16.94189618,\n",
      +       "         -7.95242249, -16.04150598,  18.10012478,  -6.67146327,\n",
      +       "          4.87708855,   7.84642889,   2.98734128,   4.4244715 ,\n",
      +       "         -7.02686235, -12.47795852,  -1.91363618,  20.89931775,\n",
      +       "          1.05188503,   2.67083899]])
    • sigma
      (chain, draw)
      float64
      32.27 16.44 17.12 ... 29.65 17.65
      array([[32.26640655, 16.43861025, 17.12287848, 16.66586472, 41.97711685,\n",
      +       "        33.08261367, 32.81110961, 32.35347275, 32.82312442, 77.65554836,\n",
      +       "        28.89190374, 26.68841608,  1.58778913, 45.75321227, 35.55434085,\n",
      +       "         2.79480102,  7.19785749,  4.07944439, 10.8585532 , 12.21410444,\n",
      +       "         8.80891458,  3.04703571, 17.33537773, 18.33584094,  1.51160316,\n",
      +       "        11.35221943, 36.62868497, 30.46831472, 13.35366759, 39.96886469,\n",
      +       "         8.93279436,  4.63428098, 14.29495938,  7.24055398, 42.43769296,\n",
      +       "         6.20308015, 62.52706763, 12.29319715, 18.7604302 ,  1.26467306,\n",
      +       "        57.74632741, 32.49063289,  9.27296413, 70.5261033 , 11.47027422,\n",
      +       "        21.73418004, 11.54898657, 33.47421922, 13.12105628, 38.41071452,\n",
      +       "         6.13206812, 26.71593981, 11.46993491, 32.30305507, 60.94854749,\n",
      +       "        47.1224052 , 34.93996094, 25.24978858, 41.04893784, 15.15363744,\n",
      +       "        18.30568623,  0.76183824, 56.36803913,  1.72020075, 30.64934368,\n",
      +       "         3.62951956, 61.06618283,  2.53996115, 61.53281412, 22.82803605,\n",
      +       "         7.77094503, 12.03999595, 26.45661045,  0.71951105, 80.28744161,\n",
      +       "        10.6937332 , 40.99692813, 45.78001398,  4.23032279, 25.33893922,\n",
      +       "        15.21239226, 23.40691399, 10.73946773, 16.49741128,  0.99948137,\n",
      +       "        32.69146657, 22.13000413, 24.93175855, 11.27964085, 18.20596094,\n",
      +       "         2.87102826, 25.92878839, 16.56597519, 27.32031246, 78.3750081 ,\n",
      +       "        26.65457857, 15.27963455, 19.57457997, 32.2954837 , 37.87069456,\n",
      +       "        59.66299693,  5.58301547,  6.42021294,  6.16169516,  2.58661163,\n",
      +       "        59.53644053, 46.6041583 , 18.16284728, 11.66391126, 14.23674069,\n",
      +       "        20.81068639,  2.04127387,  8.18552497, 13.23122663, 34.18350389,\n",
      +       "         1.73458849, 40.43272913,  0.13561741, 13.0870142 , 25.50070174,\n",
      +       "        45.93069526, 12.67256192, 10.14168066, 15.22124256, 15.16288174,\n",
      +       "        15.75449861,  5.77655726, 15.40222182, 23.5840855 , 22.82504136,\n",
      +       "        44.08185152, 11.85992857,  6.08256561,  3.37979267, 38.54437234,\n",
      +       "         8.45723442, 77.49270933,  1.93824268,  9.4370285 , 27.77356985,\n",
      +       "         9.71980668,  6.84075536, 31.41597383, 32.5472195 , 13.08561403,\n",
      +       "         3.15070349, 13.85176093,  6.50287706, 29.65012088, 17.6504869 ]])
    • sigma_log__
      (chain, draw)
      float64
      3.474 2.8 2.84 ... 3.389 2.871
      array([[ 3.47402664e+00,  2.79963285e+00,  2.84041549e+00,\n",
      +       "         2.81336260e+00,  3.73712463e+00,  3.49900788e+00,\n",
      +       "         3.49076717e+00,  3.47672136e+00,  3.49113328e+00,\n",
      +       "         4.35228300e+00,  3.36356141e+00,  3.28422962e+00,\n",
      +       "         4.62342565e-01,  3.82326200e+00,  3.57106225e+00,\n",
      +       "         1.02776091e+00,  1.97378341e+00,  1.40596080e+00,\n",
      +       "         2.38495308e+00,  2.50259139e+00,  2.17576423e+00,\n",
      +       "         1.11416922e+00,  2.85274937e+00,  2.90885767e+00,\n",
      +       "         4.13170785e-01,  2.42941327e+00,  3.60083168e+00,\n",
      +       "         3.41668728e+00,  2.59179107e+00,  3.68810077e+00,\n",
      +       "         2.18972926e+00,  1.53348106e+00,  2.65990698e+00,\n",
      +       "         1.97969772e+00,  3.74803695e+00,  1.82504597e+00,\n",
      +       "         4.13559955e+00,  2.50904603e+00,  2.93174988e+00,\n",
      +       "         2.34813637e-01,  4.05605975e+00,  3.48095183e+00,\n",
      +       "         2.22710308e+00,  4.25598290e+00,  2.43975884e+00,\n",
      +       "         3.07888614e+00,  2.44659769e+00,  3.51077557e+00,\n",
      +       "         2.57421829e+00,  3.64833644e+00,  1.81353207e+00,\n",
      +       "         3.28526038e+00,  2.43972926e+00,  3.47516181e+00,\n",
      +       "         4.11003002e+00,  3.85274858e+00,  3.55363119e+00,\n",
      +       "         3.22881778e+00,  3.71476496e+00,  2.71824060e+00,\n",
      +       "         2.90721173e+00, -2.72021029e-01,  4.03190232e+00,\n",
      +       "         5.42441002e-01,  3.42261125e+00,  1.28910029e+00,\n",
      +       "         4.11195824e+00,  9.32148786e-01,  4.11957060e+00,\n",
      +       "         3.12798943e+00,  2.05039178e+00,  2.48823410e+00,\n",
      +       "         3.27550605e+00, -3.29183398e-01,  4.38561322e+00,\n",
      +       "         2.36965789e+00,  3.71349714e+00,  3.82384762e+00,\n",
      +       "         1.44227830e+00,  3.23234231e+00,  2.72211038e+00,\n",
      +       "         3.15303145e+00,  2.37392553e+00,  2.80320348e+00,\n",
      +       "        -5.18769269e-04,  3.48711408e+00,  3.09693434e+00,\n",
      +       "         3.21614243e+00,  2.42299941e+00,  2.90174906e+00,\n",
      +       "         1.05467025e+00,  3.25535387e+00,  2.80735090e+00,\n",
      +       "         3.30763047e+00,  4.36150510e+00,  3.28296094e+00,\n",
      +       "         2.72652087e+00,  2.97423178e+00,  3.47492740e+00,\n",
      +       "         3.63417758e+00,  4.08871201e+00,  1.71972904e+00,\n",
      +       "         1.85945128e+00,  1.81835193e+00,  9.50348767e-01,\n",
      +       "         4.08658857e+00,  3.84168977e+00,  2.89937815e+00,\n",
      +       "         2.45649957e+00,  2.65582600e+00,  3.03546662e+00,\n",
      +       "         7.13574057e-01,  2.10236735e+00,  2.58257969e+00,\n",
      +       "         3.53174319e+00,  5.50770204e-01,  3.69963958e+00,\n",
      +       "        -1.99791751e+00,  2.57162046e+00,  3.23870597e+00,\n",
      +       "         3.82713364e+00,  2.53943918e+00,  2.31665373e+00,\n",
      +       "         2.72269199e+00,  2.71885045e+00,  2.75712595e+00,\n",
      +       "         1.75380787e+00,  2.73451177e+00,  3.16057214e+00,\n",
      +       "         3.12785824e+00,  3.78604817e+00,  2.47316537e+00,\n",
      +       "         1.80542658e+00,  1.21781437e+00,  3.65181011e+00,\n",
      +       "         2.13502222e+00,  4.35018386e+00,  6.61781725e-01,\n",
      +       "         2.24464115e+00,  3.32408484e+00,  2.27416573e+00,\n",
      +       "         1.92289816e+00,  3.44731648e+00,  3.48269194e+00,\n",
      +       "         2.57151346e+00,  1.14762576e+00,  2.62841237e+00,\n",
      +       "         1.87224470e+00,  3.38946620e+00,  2.87076337e+00]])
  • created_at :
    2019-11-17T20:56:10.022503
    inference_library :
    pymc3
    inference_library_version :
    3.7
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 1, developer: 5, draw: 150)\n", + "Coordinates:\n", + " * chain (chain) int64 0\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 ... 143 144 145 146 147 148 149\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments (chain, draw, developer) float64 5.228 87.69 ... 29.04 23.6\n", + " b0 (chain, draw) float64 -12.91 -2.018 4.764 ... 1.053 -15.27\n", + " b1 (chain, draw) float64 3.752 8.683 -2.673 ... 1.052 2.671\n", + " sigma (chain, draw) float64 32.27 16.44 17.12 ... 29.65 17.65\n", + " sigma_log__ (chain, draw) float64 3.474 2.8 2.84 ... 1.872 3.389 2.871\n", + "Attributes:\n", + " created_at: 2019-11-17T20:56:10.022503\n", + " inference_library: pymc3\n", + " inference_library_version: 3.7" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_pymc3.prior" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/schema/PyStan_schema_example.ipynb b/doc/schema/PyStan_schema_example.ipynb new file mode 100644 index 0000000000..3cd8eece9a --- /dev/null +++ b/doc/schema/PyStan_schema_example.ipynb @@ -0,0 +1,4765 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Example of `InferenceData` schema in PyStan\n", + "The description of the `InferenceData` structure can be found [here](schema.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import arviz as az\n", + "import pystan\n", + "import pandas as pd\n", + "import numpy as np\n", + "import xarray\n", + "xarray.set_options(display_style=\"html\");" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
commentstime
Alice75004.5
Bob101006.0
Cole186007.0
Danielle2520012.0
Erika2750018.0
\n", + "
" + ], + "text/plain": [ + " comments time\n", + "Alice 7500 4.5\n", + "Bob 10100 6.0\n", + "Cole 18600 7.0\n", + "Danielle 25200 12.0\n", + "Erika 27500 18.0" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#read data\n", + "data = pd.read_csv(\"linear_regression_data.csv\", index_col=0)\n", + "time_since_joined = data.time.values\n", + "slack_comments = data.comments.values\n", + "names = data.index.values\n", + "N = len(names)\n", + "data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_b2d530337b2d60d5322cb10cbc01e530 NOW.\n" + ] + } + ], + "source": [ + "linreg_prior_code = \"\"\"\n", + "data {\n", + " int N;\n", + " real time_since_joined[N];\n", + "}\n", + "\n", + "generated quantities {\n", + " real b0;\n", + " real b1;\n", + " real log_sigma;\n", + " real sigma;\n", + " vector[N] slack_comments_hat;\n", + " \n", + " b0 = normal_rng(0,10);\n", + " b1 = normal_rng(0,10);\n", + " sigma = abs(normal_rng(0,30));\n", + " log_sigma = log(sigma);\n", + " for (i in 1:N) {\n", + " slack_comments_hat[i] = normal_rng(b0 + b1 * time_since_joined[i], sigma);\n", + " }\n", + "}\n", + "\"\"\"\n", + "sm_prior = pystan.StanModel(model_code=linreg_prior_code)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "linreg_prior_data_dict = {\"N\": N, \"time_since_joined\": time_since_joined}\n", + "prior = sm_prior.sampling(data=linreg_prior_data_dict, iter=150, chains=1, algorithm='Fixed_param', warmup=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_13939a7ccc2875c5ec3f9d016bdf59f1 NOW.\n" + ] + } + ], + "source": [ + "linreg_code = \"\"\"\n", + "data {\n", + " int N;\n", + " real time_since_joined[N];\n", + " real slack_comments[N];\n", + "}\n", + "\n", + "parameters {\n", + " real b0;\n", + " real b1;\n", + " real log_sigma;\n", + "}\n", + "\n", + "transformed parameters {\n", + " real sigma;\n", + " sigma = exp(log_sigma);\n", + "}\n", + "\n", + "model {\n", + " b0 ~ normal(0,10);\n", + " b1 ~ normal(0,10);\n", + " sigma ~ normal(0,30);\n", + " for (i in 1:N) {\n", + " slack_comments[i] ~ normal(b0 + b1 * time_since_joined[i], sigma);\n", + " }\n", + " \n", + "}\n", + "\n", + "generated quantities {\n", + " vector[N] log_lik;\n", + " vector[N] slack_comments_hat;\n", + " for (i in 1:N) {\n", + " log_lik[i] = normal_lpdf(slack_comments[i] | b0 + b1 * time_since_joined[i], sigma);\n", + " slack_comments_hat[i] = normal_rng(b0 + b1 * time_since_joined[i], sigma);\n", + " }\n", + "}\n", + "\"\"\"\n", + "sm = pystan.StanModel(model_code=linreg_code)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:pystan:256 of 400 iterations saturated the maximum tree depth of 10 (64 %)\n", + "WARNING:pystan:Run again with max_treedepth larger than 10 to avoid saturation\n" + ] + } + ], + "source": [ + "linreg_data_dict = {\"N\": N, \"slack_comments\": slack_comments, \"time_since_joined\": time_since_joined}\n", + "posterior = sm.sampling(data=linreg_data_dict, iter=200, chains=4)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "idata_stan = az.from_pystan(\n", + " posterior=posterior,\n", + " prior=prior,\n", + " posterior_predictive=\"slack_comments_hat\",\n", + " prior_predictive=\"slack_comments_hat\",\n", + " observed_data=[\"slack_comments\"],\n", + " constant_data=[\"time_since_joined\"],\n", + " log_likelihood=\"log_lik\",\n", + " coords={\"developer\": names},\n", + " dims={\n", + " \"slack_comments\": [\"developer\"],\n", + " \"log_lik\": [\"developer\"],\n", + " \"slack_comments_hat\": [\"developer\"],\n", + " \"time_since_joined\": [\"developer\"],\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Inference data with groups:\n", + "\t> posterior\n", + "\t> sample_stats\n", + "\t> posterior_predictive\n", + "\t> prior\n", + "\t> sample_stats_prior\n", + "\t> prior_predictive\n", + "\t> observed_data\n", + "\t> constant_data" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, each variable has as dimension a combination of the following 3: `chain`, `draw` and `developer`. Moreover, each dimension has specific coordinate values. In the case of `chain` and `draw` it is an integer identifier starting at `0`; in the case of `developer` dimension, its coordinate values are the following strings: `[\"Alice\", \"Bob\", \"Cole\", \"Danielle\", \"Erika\"]`." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • draw: 100
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 6 ... 94 95 96 97 98 99
      array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
      +       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
      +       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
      +       "       54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,\n",
      +       "       72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,\n",
      +       "       90, 91, 92, 93, 94, 95, 96, 97, 98, 99])
    • b0
      (chain, draw)
      float64
      -2.473 1.283 13.96 ... 13.28 14.28
      array([[-2.47282749e+00,  1.28300322e+00,  1.39637185e+01,\n",
      +       "         5.62840379e+00,  1.49427424e-01,  5.35270892e-01,\n",
      +       "         3.64890139e+00,  1.24225747e+01,  5.34546468e+00,\n",
      +       "         9.42765781e+00,  1.28333749e+01,  7.32945616e+00,\n",
      +       "         7.92378076e+00,  1.57953611e+00,  2.39663426e+00,\n",
      +       "         1.08156639e+01,  1.08146240e+01,  2.08521828e+01,\n",
      +       "         2.48339531e+01,  2.48324312e+01,  2.93836729e+01,\n",
      +       "         1.07583978e+01,  5.19786405e+00, -5.75057032e-01,\n",
      +       "        -4.05581174e+00, -4.71111195e+00, -5.30917342e+00,\n",
      +       "        -4.14397638e+00, -3.62914582e+00, -3.62153940e+00,\n",
      +       "         1.64586205e+01,  1.72736298e+01,  2.15894547e+01,\n",
      +       "         1.74056574e+01,  1.54648528e+01,  1.30225545e+01,\n",
      +       "         1.30268524e+01,  2.01730593e+01,  2.11235271e+01,\n",
      +       "         1.06628951e+01,  1.17797393e+01,  1.76780941e+01,\n",
      +       "         1.75357012e+01,  1.75345767e+01,  1.80150405e+01,\n",
      +       "        -6.68705272e-01,  6.52793608e+00,  6.52698036e+00,\n",
      +       "         2.57387452e+00,  2.82550041e+00,  1.61353716e+00,\n",
      +       "         1.61476130e+00, -4.78780460e+00,  2.91498654e+00,\n",
      +       "         9.58296712e+00,  9.58318622e+00, -2.29465630e+00,\n",
      +       "         1.45437712e+01,  1.83050288e+01,  1.97993758e+01,\n",
      +       "         9.03494501e+00,  9.39077847e+00,  1.40225652e+01,\n",
      +       "         6.17095259e+00,  6.00455308e+00,  6.14582197e+00,\n",
      +       "         6.16679231e+00,  6.16214924e+00,  6.57690508e+00,\n",
      +       "         1.06439041e+00,  1.17341687e+01,  1.23742420e+00,\n",
      +       "        -5.10560680e-01,  1.39667070e+00,  2.83917975e+01,\n",
      +       "         7.25502057e+00,  1.27875864e+00,  3.63263381e+00,\n",
      +       "         4.54739376e+00,  1.16579299e+01,  1.25413560e+01,\n",
      +       "         7.85035450e-01, -8.16812159e+00, -6.31533454e+00,\n",
      +       "         3.83689199e+00,  3.02310478e+00, -1.40033949e-01,\n",
      +       "         6.02337089e+00,  2.14205491e+00,  6.69443541e+00,\n",
      +       "         1.35956060e+01,  1.35982689e+01,  1.73593659e+01,\n",
      +       "         1.73811266e+01, -3.29351451e+00,  7.82148574e+00,\n",
      +       "         7.82946628e+00,  1.00749419e+01,  1.00649919e+01,\n",
      +       "         7.34894082e+00],\n",
      +       "       [ 3.90424592e+00,  7.25344278e+00,  7.56597157e+00,\n",
      +       "         1.60056746e+01,  9.76797104e+00,  1.06203422e+00,\n",
      +       "         4.01908692e+00,  2.09277431e+01,  1.68149744e+01,\n",
      +       "         1.54642403e+01,  1.46085774e+01,  1.13993179e+01,\n",
      +       "         1.74474300e+01,  1.93603258e+01,  1.92054775e+01,\n",
      +       "         1.86375501e+01,  1.86254299e+01,  1.01268491e+01,\n",
      +       "         1.01185472e+01,  1.31728170e+01,  1.37946937e+01,\n",
      +       "         8.24532605e+00,  2.15101772e+01,  1.22486059e+01,\n",
      +       "         1.23395677e+01,  1.40053745e+01,  1.10499509e+01,\n",
      +       "         1.10508289e+01,  1.08534074e+01,  6.74485845e+00,\n",
      +       "         1.21777335e+00,  1.18017082e+00,  6.89521782e+00,\n",
      +       "         5.68656509e+00,  8.84592719e+00,  4.96535236e+00,\n",
      +       "         4.96331444e+00,  3.62484913e+00,  5.93963208e+00,\n",
      +       "         5.18417614e+00, -1.59852092e+00,  7.32782672e+00,\n",
      +       "         7.27570984e+00,  1.38968586e+01, -1.92080903e+01,\n",
      +       "        -2.25018898e+00,  5.82555662e+00,  9.37507283e+00,\n",
      +       "         4.73369869e+00,  3.77715161e+00, -1.23865500e-01,\n",
      +       "         9.18758899e+00,  9.18716185e+00,  9.19208766e+00,\n",
      +       "         1.12301466e+01,  1.00589138e+01,  1.00585763e+01,\n",
      +       "         4.53873351e+00,  6.32254285e+00,  1.03867598e+01,\n",
      +       "         1.39501588e+01,  1.39416410e+01,  1.13979265e+01,\n",
      +       "         1.15431268e+01, -1.54590909e+00,  1.56408959e+00,\n",
      +       "         2.03906418e+01,  1.96378904e+01,  2.05435157e+01,\n",
      +       "         2.05471726e+01,  2.11940316e+01,  2.14909757e+01,\n",
      +       "         2.14942260e+01,  9.88618249e+00,  8.80627910e+00,\n",
      +       "         1.04048515e+01,  2.16793073e+01,  2.48269482e+00,\n",
      +       "         5.00133703e+00, -1.86936009e-01, -1.92800497e-01,\n",
      +       "         7.40172327e+00,  6.21305576e+00, -4.54932273e+00,\n",
      +       "        -4.04589704e+00, -4.05611473e+00, -1.28752811e+00,\n",
      +       "        -4.01230480e+00, -7.95094385e+00, -7.95094385e+00,\n",
      +       "        -7.94332508e+00, -2.55201041e+00,  1.68499919e+01,\n",
      +       "         1.90699885e+01,  1.81221267e+01,  2.12702463e+01,\n",
      +       "         1.96121365e+01,  1.96221771e+01,  9.01581192e+00,\n",
      +       "         1.98112385e+01],\n",
      +       "       [ 1.26400082e+01,  1.29912766e+01,  8.35702576e+00,\n",
      +       "         1.76735237e+01,  1.82525520e+01,  1.35757294e+01,\n",
      +       "         9.21544081e+00,  1.39530564e+01,  1.19132520e+01,\n",
      +       "         1.36451878e+01,  1.52492615e+01,  2.10249829e+01,\n",
      +       "         1.55528750e+01,  1.55602942e+01,  1.52340468e+01,\n",
      +       "         2.11614893e+01,  6.68815020e+00,  1.66369257e+01,\n",
      +       "         1.58212712e+01,  2.67841173e+01,  2.16816995e+01,\n",
      +       "         2.05580722e+01,  2.05610924e+01,  2.05656310e+01,\n",
      +       "         1.64681023e+01,  1.50016732e+01,  1.46443771e+01,\n",
      +       "         8.29181569e-01,  7.00724078e+00,  6.98380711e+00,\n",
      +       "         9.79341602e+00,  8.83016751e+00,  1.04834612e+01,\n",
      +       "         2.79279784e-02,  1.46736993e+01,  1.46732967e+01,\n",
      +       "         1.45728310e+01, -1.16659653e-01,  7.32547590e+00,\n",
      +       "         1.74835490e+01,  5.64210768e+00,  9.05058566e-01,\n",
      +       "         8.01662002e+00,  4.19662181e+00,  2.86368861e-01,\n",
      +       "         1.46203210e+00,  6.35468611e+00,  9.10757668e+00,\n",
      +       "         9.43635482e+00,  1.45716850e+01,  1.30182699e+01,\n",
      +       "         1.30544502e+01,  1.62330806e+01,  1.06214120e+01,\n",
      +       "         1.04820457e+01,  2.13064020e+01,  1.94943005e+01,\n",
      +       "         2.49705646e+01,  2.58523319e+01,  2.93294164e+01,\n",
      +       "         1.65099019e+01,  1.12320141e+01,  5.30926221e-01,\n",
      +       "         5.22573157e-01, -2.09407429e+00,  7.39996692e+00,\n",
      +       "         5.52401776e-01,  1.09915793e+01,  1.09765319e+01,\n",
      +       "         1.04450815e+01,  1.04366801e+01,  7.93970528e+00,\n",
      +       "         8.55265319e+00,  9.54263941e+00,  9.54216511e+00,\n",
      +       "         5.80762376e-01,  7.53754339e+00,  7.97605697e+00,\n",
      +       "         3.73641045e+00,  1.74892273e+00,  7.81240641e+00,\n",
      +       "         1.28799875e+01,  1.27241142e+01,  1.24860798e+01,\n",
      +       "         7.40160514e-01,  7.24312047e-01,  6.82385699e-01,\n",
      +       "        -8.90123534e+00,  4.13343387e+00,  1.54364448e+01,\n",
      +       "         1.81246428e+01,  7.28715673e+00,  2.35290769e+00,\n",
      +       "         9.95182459e+00,  2.86375531e+01,  2.86466516e+01,\n",
      +       "         2.03903343e+01,  2.03926750e+01,  1.61384149e+01,\n",
      +       "         1.86264645e+01],\n",
      +       "       [-1.43910866e-01,  1.02856424e+01,  1.16476009e+01,\n",
      +       "         1.16087456e+01,  4.07600713e+00,  4.43197316e+00,\n",
      +       "         1.40712062e+01,  1.42981328e+01,  3.02777854e+00,\n",
      +       "         2.07974622e+00,  1.16269929e+01, -3.91414070e-01,\n",
      +       "         5.03643907e+00,  5.84926105e+00,  2.22288415e+01,\n",
      +       "         2.22761926e+01, -2.69922268e+00,  6.23002658e+00,\n",
      +       "         6.26008215e+00,  1.65178049e+00,  2.51055969e-01,\n",
      +       "         6.62408569e+00,  6.62504083e+00,  6.62611744e+00,\n",
      +       "         6.32594988e+00, -6.52807822e+00, -9.90624504e-01,\n",
      +       "        -1.11450639e+00, -7.09384983e-01, -1.91628282e+00,\n",
      +       "        -8.41053374e+00,  3.19904541e+00,  3.16179020e+00,\n",
      +       "         1.07852224e+01,  1.25197440e+01,  8.61953349e+00,\n",
      +       "         7.93567882e+00,  7.03103761e+00,  6.75751146e+00,\n",
      +       "         7.52028345e+00,  8.16259141e+00,  1.78264603e+01,\n",
      +       "         2.30043434e+01,  1.44303393e+00,  9.41812282e+00,\n",
      +       "         1.71250048e+01,  1.02176793e+01,  7.69866477e+00,\n",
      +       "         7.70762201e+00,  2.92592897e+00,  7.03936188e+00,\n",
      +       "         9.57729707e+00,  1.63304147e+01,  2.37847944e+01,\n",
      +       "         2.18026241e+01,  1.57212557e+01,  1.12852832e+01,\n",
      +       "         1.95597363e+01,  9.62779374e-01, -1.51745116e+01,\n",
      +       "        -1.25281481e+01, -1.29318935e+00, -1.29313709e+00,\n",
      +       "        -7.82185082e+00,  1.76108632e+01,  1.17798741e+01,\n",
      +       "         1.91246166e+01,  5.54522736e+00,  5.58698527e+00,\n",
      +       "         5.22737026e+00,  1.86655573e+01,  1.55853695e+01,\n",
      +       "         6.59736149e+00,  4.90767319e+00,  1.36539862e+01,\n",
      +       "         1.52559811e+01,  5.79241976e+00,  1.07443675e+01,\n",
      +       "        -3.07636708e+00,  1.03821707e+00,  1.06085366e+00,\n",
      +       "         3.96074893e+00, -8.94817719e+00,  9.49301967e+00,\n",
      +       "        -2.13339422e+00, -2.13562076e+00,  1.25047041e+01,\n",
      +       "         1.53489498e+01,  5.07671238e+00,  6.87649721e+00,\n",
      +       "         5.92151562e+00,  1.21767627e+01,  4.21378777e+00,\n",
      +       "         3.55278023e+00,  3.55392560e+00,  3.53279870e+00,\n",
      +       "         8.87272989e+00,  5.84609516e+00,  1.32787108e+01,\n",
      +       "         1.42848962e+01]])
    • b1
      (chain, draw)
      float64
      84.11 82.99 76.27 ... 80.23 81.3
      array([[ 84.11258624,  82.99136552,  76.27172166,  76.24525977,\n",
      +       "         76.35103972,  75.4307576 ,  71.00451674,  84.29046575,\n",
      +       "         73.17383755,  71.97464039,  78.65856205,  80.25445267,\n",
      +       "         72.36984865,  76.55627168,  70.08287211,  69.23333637,\n",
      +       "         69.21510784,  73.1351327 ,  77.76302366,  77.73522201,\n",
      +       "         68.02001465,  58.25509599,  56.8639635 ,  64.49181995,\n",
      +       "         64.38875633,  63.72897512,  63.46854842,  76.63413882,\n",
      +       "         76.62031318,  76.58187931,  78.9615212 ,  71.7877188 ,\n",
      +       "         72.96207378,  80.67851049,  92.42745518,  94.4508944 ,\n",
      +       "         95.14807663,  84.19588323,  83.71478059,  89.71008116,\n",
      +       "         79.61171623,  70.09693516,  68.65774349,  68.65908873,\n",
      +       "         71.61873033,  67.37660388,  65.70626175,  65.70934599,\n",
      +       "         67.89576449,  69.77002685,  81.3583973 ,  76.34597455,\n",
      +       "         74.12733826,  75.11889684,  82.06074884,  82.0542546 ,\n",
      +       "         76.79067002,  83.88491279,  74.66647785,  75.70917711,\n",
      +       "         73.21491912,  72.1512044 ,  66.79456969,  57.11533344,\n",
      +       "         56.42778938,  56.23418933,  56.2178964 ,  56.21750427,\n",
      +       "         57.46477456,  56.25960862,  72.84223829,  83.93779354,\n",
      +       "         95.31987574,  91.53155643,  85.21731038,  89.70462097,\n",
      +       "         91.6553202 ,  95.42024572,  85.12109582,  90.37429553,\n",
      +       "         90.96121729,  89.13040177,  84.13678723,  83.11469473,\n",
      +       "         67.91620701,  80.11994572,  85.00629729, 102.314562  ,\n",
      +       "         73.75943458,  80.9415394 ,  86.86239602,  86.74192339,\n",
      +       "         81.47246049,  81.46862824,  70.07024349,  99.16957227,\n",
      +       "         99.17216934,  97.72355212,  97.7360444 ,  94.80739628],\n",
      +       "       [ 83.07030751,  87.27267322,  87.64500074,  86.67391237,\n",
      +       "         87.97928389,  77.97998488,  86.29607796,  79.3505601 ,\n",
      +       "         87.25428963,  83.42732015,  84.73162409,  77.58939013,\n",
      +       "         75.37170834,  74.88797823,  74.81303134,  71.2351513 ,\n",
      +       "         71.23835306,  69.21626215,  69.22794977,  75.65703161,\n",
      +       "         85.23996706,  83.83745076,  77.73692084,  68.64456403,\n",
      +       "         71.61733008,  74.2980474 ,  96.79673724,  96.79812012,\n",
      +       "         95.72254723, 102.27882477,  90.92803566,  90.97449597,\n",
      +       "         76.44710451,  78.37081499,  76.44074585,  80.69884203,\n",
      +       "         80.69568735,  79.05935593,  84.04511112,  85.30378141,\n",
      +       "         80.66943211,  86.37096118,  86.20345202,  88.49918046,\n",
      +       "         77.31175672,  92.04681724,  85.35722298,  85.86056426,\n",
      +       "         80.88187896,  73.74136949,  72.06148529,  81.6453404 ,\n",
      +       "         81.64580831,  81.64184294,  83.13568738,  82.741058  ,\n",
      +       "         82.74669251,  80.83074286,  78.31787506,  73.95207193,\n",
      +       "         71.37230958,  71.37046475,  80.26879805,  73.73241433,\n",
      +       "         77.26880182,  72.65856997,  94.99168614,  94.60642112,\n",
      +       "         82.35661777,  82.35496634,  82.58963312,  82.44819755,\n",
      +       "         82.44301136,  71.37249688,  80.51487744,  82.72403496,\n",
      +       "         75.11619048,  77.36926266,  90.27208563,  81.90597004,\n",
      +       "         81.90653096,  78.73388738,  79.27664588,  77.43160825,\n",
      +       "         79.32318921,  79.33832169,  73.61228122,  84.39282913,\n",
      +       "         91.79146302,  91.79146302,  92.04962246,  78.74010626,\n",
      +       "         69.84900868,  65.71772829,  74.17672731,  78.3508885 ,\n",
      +       "         77.92405772,  77.92087861,  89.25593189,  80.02412125],\n",
      +       "       [ 75.10004202,  75.54383279,  76.14682785,  71.9553088 ,\n",
      +       "         79.30412937,  78.86452473,  75.03401424,  74.41161599,\n",
      +       "         65.82898277,  71.53502132,  67.40968634,  98.41723371,\n",
      +       "         99.8977034 ,  99.89525667,  99.29703533,  98.37396752,\n",
      +       "        101.95947788,  97.34394129,  97.13936063,  87.85771295,\n",
      +       "         90.64968834,  76.50170063,  76.4988432 ,  76.49747142,\n",
      +       "         74.21931855,  79.44632096,  76.44081113,  66.32193134,\n",
      +       "         71.60959825,  71.61193762,  68.90538256,  75.39248354,\n",
      +       "         75.77589869,  63.79188863,  54.9508345 ,  55.04284593,\n",
      +       "         54.63831258,  68.39636897,  74.150173  ,  64.73282622,\n",
      +       "         73.05717208,  75.73051817,  94.29689936,  81.33721966,\n",
      +       "         93.44104954,  94.7987654 ,  80.55901697,  76.46760695,\n",
      +       "         73.58082286,  72.54418367,  69.6422771 ,  69.28536685,\n",
      +       "         74.49541017,  71.5255485 ,  74.70751118,  73.02710194,\n",
      +       "         75.51701863,  73.62179928,  73.05177236,  68.16252177,\n",
      +       "         73.88958982,  74.64872761,  85.59607503,  85.59861795,\n",
      +       "         82.03603368,  81.67550944,  70.56618811,  66.59224502,\n",
      +       "         66.59742964,  60.88046372,  60.87706143,  64.94168195,\n",
      +       "         68.59233683,  69.92473659,  69.92282602,  85.96175559,\n",
      +       "         85.41279474,  85.95071625,  83.03933762,  72.75588543,\n",
      +       "         76.42428227,  72.68384837,  75.57892607,  72.50012208,\n",
      +       "         70.92932427,  70.89201424,  70.92923261,  82.53834654,\n",
      +       "         70.25290015,  82.12817512,  82.86315093,  90.30553818,\n",
      +       "         86.43928405,  88.94662901,  94.89624402,  94.89564441,\n",
      +       "         81.30854071,  81.33502568,  81.2376018 ,  73.75825599],\n",
      +       "       [ 53.56013906,  55.16922679,  53.46029117,  52.16915341,\n",
      +       "         46.76354072,  48.24488587,  82.59536103,  78.7363986 ,\n",
      +       "         80.81707092,  80.99705486,  84.17662661,  89.35913936,\n",
      +       "         91.65996086,  89.4129351 ,  93.3660532 ,  93.42798474,\n",
      +       "         97.12320113, 105.23387628, 104.32097256, 103.94099682,\n",
      +       "         87.54144317,  91.58530732,  91.58864005,  91.58707858,\n",
      +       "         88.96595787,  78.95926829,  82.08314417,  77.98313599,\n",
      +       "         88.47525193,  74.48289028,  88.53687972,  89.40692024,\n",
      +       "        100.29437925,  71.12835766,  83.35804328,  64.39233532,\n",
      +       "         63.65627747,  64.00837376,  63.62273436,  70.95868399,\n",
      +       "         75.44845385,  61.40614403,  67.25330918,  73.23388718,\n",
      +       "         65.8581922 ,  85.52028039,  95.12109128,  88.90327557,\n",
      +       "         88.90533532,  87.4553738 ,  77.83359006,  77.12312579,\n",
      +       "         71.80072635,  91.76434396,  90.39146514,  78.2904388 ,\n",
      +       "         76.10236009,  62.61988114,  63.80472127,  66.66449763,\n",
      +       "         77.6662485 ,  62.93723827,  62.92899021,  80.06436936,\n",
      +       "         64.75742971,  59.39558017,  65.42657914,  60.49448803,\n",
      +       "         60.56679993,  63.08531366,  59.20716995,  74.38277687,\n",
      +       "         79.68996635,  77.23874191,  74.31683513,  69.50336473,\n",
      +       "         76.69604992,  85.70906236,  86.53934617,  70.80291736,\n",
      +       "         70.82154761,  90.18535515,  94.69117605,  85.72707969,\n",
      +       "         77.68944785,  77.69287521,  73.66248389,  80.60485   ,\n",
      +       "         68.03020735,  72.39546406,  76.75264458,  79.02864914,\n",
      +       "         76.21463637,  79.63137329,  79.62678877,  79.62620297,\n",
      +       "         82.97152005,  83.47815223,  80.22670835,  81.30202601]])
    • log_sigma
      (chain, draw)
      float64
      6.994 7.016 7.014 ... 7.011 6.998
      array([[6.99377477, 7.01642142, 7.01386276, 7.00668416, 6.99805824,\n",
      +       "        7.02936398, 7.02805867, 7.01554731, 7.03564534, 7.01873766,\n",
      +       "        7.01532005, 7.01883493, 7.01010239, 7.00855081, 7.00529224,\n",
      +       "        7.03289759, 6.99330938, 7.04723115, 7.00674475, 7.00904057,\n",
      +       "        7.02045054, 7.04553202, 7.04778162, 7.01292068, 7.02443464,\n",
      +       "        7.04818081, 6.9984328 , 7.02190326, 7.01469139, 7.00967749,\n",
      +       "        7.0073724 , 7.02425279, 7.01955703, 7.01799541, 7.02442645,\n",
      +       "        7.00724579, 6.99722926, 6.98855628, 7.01003664, 7.01483038,\n",
      +       "        7.02522356, 7.00404958, 7.03823958, 7.02075645, 7.04563526,\n",
      +       "        6.99536097, 7.04727786, 7.02615593, 7.01830574, 7.02838149,\n",
      +       "        7.02493223, 7.02806277, 7.0424555 , 7.00994756, 7.01431497,\n",
      +       "        7.00112854, 7.00906598, 7.00255752, 7.0096081 , 7.03117433,\n",
      +       "        7.01883401, 7.02164643, 7.02404671, 7.01902884, 7.0245563 ,\n",
      +       "        7.02644539, 7.04706159, 7.02125494, 7.02383823, 7.01204523,\n",
      +       "        7.0073876 , 7.03054003, 7.0202033 , 7.02998128, 7.01103551,\n",
      +       "        7.00791568, 7.01135542, 7.00724306, 7.01130991, 7.01929799,\n",
      +       "        7.00952155, 7.00204832, 7.00771421, 7.01936304, 7.01333609,\n",
      +       "        7.008807  , 7.0225295 , 7.0023832 , 7.00544063, 7.0021293 ,\n",
      +       "        7.00412859, 7.01993083, 7.0067225 , 7.0065335 , 7.01540066,\n",
      +       "        7.00698042, 7.00818726, 7.01466199, 6.99162998, 7.03131471],\n",
      +       "       [7.00487012, 7.00757917, 7.03436888, 7.02835515, 7.01692337,\n",
      +       "        7.01762483, 7.00652341, 7.02128715, 7.01271563, 7.03322658,\n",
      +       "        7.00712745, 7.02528291, 7.02013534, 6.99633594, 7.00545779,\n",
      +       "        7.01068845, 7.02476417, 7.04543127, 7.00863182, 7.00545463,\n",
      +       "        7.01403817, 7.02021791, 7.03421869, 7.02366919, 7.01278312,\n",
      +       "        7.00881484, 7.00415182, 6.99002149, 6.99523352, 6.99757837,\n",
      +       "        7.01544332, 7.01043606, 7.016152  , 7.01654659, 7.01871304,\n",
      +       "        7.05027174, 7.04304051, 7.04251475, 7.00317216, 7.01725223,\n",
      +       "        7.01219318, 7.00725596, 7.00772107, 7.00887723, 7.01962618,\n",
      +       "        7.02670143, 7.02698685, 7.00506953, 7.03330861, 7.02203219,\n",
      +       "        7.03217736, 7.00948549, 7.01647893, 7.03769035, 7.02450219,\n",
      +       "        7.01461053, 7.05002034, 7.02215108, 7.00203057, 7.02746663,\n",
      +       "        7.00660206, 7.02244481, 7.02594017, 7.008197  , 7.00353315,\n",
      +       "        7.00905056, 7.01697327, 7.0152472 , 6.99894318, 6.99138775,\n",
      +       "        6.99382473, 7.0036873 , 7.01847517, 7.02854414, 7.0219593 ,\n",
      +       "        7.01080507, 7.01399168, 7.01632569, 7.02630815, 6.99809958,\n",
      +       "        6.9926151 , 7.02912432, 7.00240696, 7.01395435, 7.00652121,\n",
      +       "        7.02566711, 7.03074298, 7.02497058, 7.02937723, 7.02937723,\n",
      +       "        7.00239422, 7.03059365, 7.02109445, 7.03929255, 7.01854538,\n",
      +       "        7.02074598, 7.02606002, 7.0013015 , 7.03687948, 6.99537342],\n",
      +       "       [7.02165886, 7.01585231, 7.0366339 , 7.01493148, 7.02261547,\n",
      +       "        7.01113824, 7.03584275, 7.03623086, 7.01586804, 7.02356372,\n",
      +       "        7.01889938, 6.99115607, 7.02009875, 7.02350587, 7.00087761,\n",
      +       "        7.01607636, 7.01188787, 7.01596299, 7.01157355, 7.0273272 ,\n",
      +       "        7.02542809, 7.01218236, 7.02938014, 7.00970255, 7.0267358 ,\n",
      +       "        7.01540222, 7.01416989, 7.00681567, 7.00869348, 7.03179487,\n",
      +       "        7.00349363, 7.0336072 , 7.0155307 , 7.02231994, 7.0223645 ,\n",
      +       "        7.02508281, 7.02665266, 7.01853243, 7.01948942, 7.02203061,\n",
      +       "        7.02267062, 7.01950246, 7.01492014, 7.01608552, 7.02563046,\n",
      +       "        7.02724946, 7.03178519, 7.01315903, 7.02205117, 7.02767318,\n",
      +       "        7.02573735, 7.01547118, 7.0350403 , 7.02489618, 7.03387727,\n",
      +       "        7.00703405, 7.02432634, 7.02040056, 7.03027293, 7.00006495,\n",
      +       "        7.04758208, 7.00934288, 7.02373048, 7.0288247 , 7.0217273 ,\n",
      +       "        7.0120116 , 7.03152726, 7.01611506, 7.0269341 , 7.02367481,\n",
      +       "        7.06127832, 7.05740084, 6.99868191, 7.03697755, 7.02828392,\n",
      +       "        7.02298656, 7.02459711, 7.02483641, 7.01681027, 7.02294491,\n",
      +       "        7.02396699, 7.00450886, 7.01956999, 7.02545519, 7.05601169,\n",
      +       "        6.9855973 , 7.04430693, 7.00511563, 6.99233513, 7.03749599,\n",
      +       "        7.03723059, 6.99229895, 7.0008327 , 7.01531999, 7.00050087,\n",
      +       "        7.0368825 , 7.0431706 , 6.99131892, 7.00553113, 7.03169886],\n",
      +       "       [7.02323207, 7.0236634 , 7.02381647, 7.02301261, 7.02223598,\n",
      +       "        7.01040398, 7.01934459, 7.01733399, 7.03391901, 7.00704525,\n",
      +       "        7.03127241, 7.01849756, 7.01346369, 7.0107102 , 7.01272705,\n",
      +       "        7.00483962, 7.01431135, 7.01421766, 7.0076946 , 6.99616577,\n",
      +       "        7.01731707, 7.03343761, 7.02683461, 7.03384528, 7.03164716,\n",
      +       "        7.02012399, 6.99705741, 7.0423292 , 7.03716186, 6.99712137,\n",
      +       "        7.02248339, 7.02453054, 6.98831371, 7.01440869, 6.99498982,\n",
      +       "        7.01800064, 7.02162488, 7.02325941, 7.01169686, 7.02881494,\n",
      +       "        7.01323176, 7.00690041, 7.03929595, 7.03922056, 7.04060877,\n",
      +       "        7.02926908, 7.00110217, 7.01648295, 6.9784227 , 7.02618902,\n",
      +       "        7.021374  , 7.03138928, 7.01458937, 6.99874501, 7.03045965,\n",
      +       "        7.01126036, 7.01686125, 7.02757898, 7.04456023, 7.00795455,\n",
      +       "        7.01548346, 7.01176791, 7.01419786, 7.00470419, 7.03805525,\n",
      +       "        7.00849215, 7.00742568, 7.02268412, 7.00485948, 7.04177949,\n",
      +       "        7.01597984, 7.01241891, 7.01572976, 7.02551274, 7.0115265 ,\n",
      +       "        7.02804514, 7.0119472 , 7.02346931, 7.01362378, 7.02753996,\n",
      +       "        7.03542723, 7.01433351, 7.00870591, 7.03123403, 6.99217862,\n",
      +       "        6.99875916, 7.02540942, 7.05543473, 6.98987191, 7.0220135 ,\n",
      +       "        7.02123567, 7.02361488, 7.01957595, 7.04152039, 7.04263362,\n",
      +       "        6.99823735, 7.007741  , 7.0089495 , 7.01055115, 6.9982919 ]])
    • sigma
      (chain, draw)
      float64
      1.09e+03 1.115e+03 ... 1.095e+03
      array([[1089.82756919, 1114.79010632, 1111.94138703, 1103.98778706,\n",
      +       "        1094.50582868, 1129.31211892, 1127.83897939, 1113.81607752,\n",
      +       "        1136.42806203, 1117.37521725, 1113.56298863, 1117.48391688,\n",
      +       "        1107.76791796, 1106.05046401, 1102.45218833, 1133.30972427,\n",
      +       "        1089.32049161, 1149.67106392, 1104.05467037, 1106.59229376,\n",
      +       "        1119.29078417, 1147.71928201, 1150.30409733, 1110.8943341 ,\n",
      +       "        1123.75904829, 1150.76338496, 1094.91585619, 1120.91798166,\n",
      +       "        1112.86315346, 1107.29733255, 1104.74785249, 1123.55471036,\n",
      +       "        1118.29113353, 1116.54615334, 1123.74984737, 1104.60798983,\n",
      +       "        1093.59887348, 1084.15512817, 1107.6950919 , 1113.01783879,\n",
      +       "        1124.64595883, 1101.08306905, 1139.38005169, 1119.63324269,\n",
      +       "        1147.83777648, 1091.55762795, 1149.72476816, 1125.69503393,\n",
      +       "        1116.89270796, 1128.20312698, 1124.31835702, 1127.84359601,\n",
      +       "        1144.19373126, 1107.59641635, 1112.44432579, 1097.87145063,\n",
      +       "        1106.62042028, 1099.44141388, 1107.22049877, 1131.35841358,\n",
      +       "        1117.48287874, 1120.63013514, 1123.32319797, 1117.70062212,\n",
      +       "        1123.89577297, 1126.02091831, 1149.47614123, 1120.19151415,\n",
      +       "        1123.08903389, 1109.92222683, 1104.76464667, 1130.64102176,\n",
      +       "        1119.01409192, 1130.00945648, 1108.80208775, 1105.34820709,\n",
      +       "        1109.15686121, 1104.60497087, 1109.10638732, 1118.00149353,\n",
      +       "        1107.12467301, 1098.88172132, 1105.12552614, 1118.07422323,\n",
      +       "        1111.35591064, 1106.33386301, 1121.62017159, 1099.24977354,\n",
      +       "        1102.6157946 , 1098.97070827, 1101.17007112, 1118.70923442,\n",
      +       "        1104.03010554, 1103.82146962, 1113.65275601, 1104.31489879,\n",
      +       "        1105.6484357 , 1112.83043139, 1087.49262609, 1131.51724726],\n",
      +       "       [1101.98691838, 1104.97630143, 1134.9783811 , 1128.17340889,\n",
      +       "        1115.34981326, 1116.13246081, 1103.81033047, 1120.22759556,\n",
      +       "        1110.6665713 , 1133.68263584, 1104.47727554, 1124.71270422,\n",
      +       "        1118.93804314, 1092.62238618, 1102.63471207, 1108.4173369 ,\n",
      +       "        1124.1294228 , 1147.60365088, 1106.14006642, 1102.63122544,\n",
      +       "        1112.13644991, 1119.03044064, 1134.80792734, 1122.8991937 ,\n",
      +       "        1110.74153495, 1106.34253597, 1101.19565192, 1085.7448093 ,\n",
      +       "        1091.41851682, 1093.98073053, 1113.70026355, 1108.13761239,\n",
      +       "        1114.4897974 , 1114.92965236, 1117.34771031, 1153.172066  ,\n",
      +       "        1144.86328907, 1144.2615203 , 1100.11738277, 1115.71667002,\n",
      +       "        1110.08645603, 1104.61922001, 1105.13310927, 1106.41155676,\n",
      +       "        1118.36847456, 1126.30926917, 1126.63077943, 1102.20668454,\n",
      +       "        1133.77563318, 1121.06251351, 1132.49377926, 1107.084747  ,\n",
      +       "        1114.85421393, 1138.75444377, 1123.83495893, 1112.77316472,\n",
      +       "        1152.88218832, 1121.19580591, 1098.86221206, 1127.1714432 ,\n",
      +       "        1103.89715145, 1121.52518012, 1125.45217354, 1105.6592019 ,\n",
      +       "        1100.5145821 , 1106.60334862, 1115.40546915, 1113.48186012,\n",
      +       "        1095.47482799, 1087.22923148, 1089.88201861, 1100.68424305,\n",
      +       "        1117.08195931, 1128.38664004, 1120.98080631, 1108.5466044 ,\n",
      +       "        1112.08474888, 1114.68339623, 1125.86639574, 1094.55107436,\n",
      +       "        1088.56446531, 1129.04149586, 1099.27589162, 1112.04323486,\n",
      +       "        1103.80790067, 1125.14490262, 1130.87051541, 1124.36148369,\n",
      +       "        1129.32708537, 1129.32708537, 1099.26188452, 1130.7016544 ,\n",
      +       "        1120.01174904, 1140.58041486, 1117.16038658, 1119.6215224 ,\n",
      +       "        1125.58707496, 1098.06136029, 1137.831432  , 1091.57121109],\n",
      +       "       [1120.64406832, 1114.15584623, 1137.55204257, 1113.13037614,\n",
      +       "        1121.71660261, 1108.91599727, 1136.65241843, 1137.09364959,\n",
      +       "        1114.17337758, 1122.78076816, 1117.55593624, 1086.97737279,\n",
      +       "        1118.89709975, 1122.71581724, 1097.59599752, 1114.40549883,\n",
      +       "        1109.74758235, 1114.27917409, 1109.39883009, 1127.01429532,\n",
      +       "        1124.87600133, 1110.07444605, 1129.33037035, 1107.32508204,\n",
      +       "        1126.3479794 , 1113.65449334, 1112.28294881, 1104.13297612,\n",
      +       "        1106.20827606, 1132.06069446, 1100.47109121, 1134.11422138,\n",
      +       "        1113.79758293, 1121.38514397, 1121.43512416, 1124.48767915,\n",
      +       "        1126.25433511, 1117.14592435, 1118.21553894, 1121.06074221,\n",
      +       "        1121.77846327, 1118.23012003, 1113.11775276, 1114.41570896,\n",
      +       "        1125.10366883, 1126.92668646, 1132.04973197, 1111.15915542,\n",
      +       "        1121.08379862, 1127.40428557, 1125.22393607, 1113.73129117,\n",
      +       "        1135.74067734, 1124.27783096, 1134.42055439, 1104.37411883,\n",
      +       "        1123.63735563, 1119.23484503, 1130.33906939, 1096.70438547,\n",
      +       "        1150.07459239, 1106.92688321, 1122.9680202 , 1128.70326614,\n",
      +       "        1120.72076933, 1109.88491032, 1131.75777759, 1114.4486357 ,\n",
      +       "        1126.57135614, 1122.9055131 , 1165.93465619, 1161.42251878,\n",
      +       "        1095.18864483, 1137.94302272, 1128.09305584, 1122.13293423,\n",
      +       "        1123.94164185, 1124.21063472, 1115.22367337, 1122.08619893,\n",
      +       "        1123.23364858, 1101.58888668, 1118.30562782, 1124.90648394,\n",
      +       "        1159.81025192, 1080.9518729 , 1146.31408605, 1102.25750243,\n",
      +       "        1088.25973579, 1138.53314059, 1138.23100501, 1088.22036203,\n",
      +       "        1097.54670233, 1113.56292099, 1097.18256849, 1137.83487361,\n",
      +       "        1145.01223146, 1087.15439752, 1102.71558706, 1131.95200649],\n",
      +       "       [1122.4084691 , 1122.89269327, 1123.06459685, 1122.16216992,\n",
      +       "        1121.29099691, 1108.10206932, 1118.05359285, 1115.80788931,\n",
      +       "        1134.46790127, 1104.38648967, 1131.46939084, 1117.10697492,\n",
      +       "        1111.4977335 , 1108.44144465, 1110.67925139, 1101.95331185,\n",
      +       "        1112.44030468, 1112.33608214, 1105.10386365, 1092.4364634 ,\n",
      +       "        1115.78901689, 1133.92189901, 1126.4592784 , 1134.38426223,\n",
      +       "        1131.89349067, 1118.92534151, 1093.41095465, 1144.04922621,\n",
      +       "        1138.15278491, 1093.48089525, 1121.56845754, 1123.8668261 ,\n",
      +       "        1083.89218036, 1112.54858682, 1091.15256904, 1116.55199851,\n",
      +       "        1120.60599041, 1122.43915411, 1109.53563731, 1128.69224459,\n",
      +       "        1111.23996388, 1104.22654729, 1140.58429567, 1140.49831504,\n",
      +       "        1142.08265729, 1129.20495343, 1097.84249614, 1114.85870087,\n",
      +       "        1073.22422991, 1125.73228088, 1120.32488531, 1131.60162957,\n",
      +       "        1112.74962237, 1095.25775762, 1130.55014355, 1109.05143192,\n",
      +       "        1115.28053392, 1127.29809373, 1146.60448524, 1105.39117061,\n",
      +       "        1113.74496495, 1109.61446608, 1112.31405751, 1101.80407807,\n",
      +       "        1139.17005157, 1105.98558341, 1104.80671405, 1121.79361018,\n",
      +       "        1101.9751979 , 1143.42050053, 1114.29794742, 1110.33706925,\n",
      +       "        1114.0193151 , 1124.97122735, 1109.34662821, 1127.82371569,\n",
      +       "        1109.81342656, 1122.67477257, 1111.67568702, 1127.25410628,\n",
      +       "        1136.18022327, 1112.4649516 , 1106.22202918, 1131.42596625,\n",
      +       "        1088.08943349, 1095.27326024, 1124.85500608, 1159.14127256,\n",
      +       "        1085.58241083, 1121.04156607, 1120.16992516, 1122.83822014,\n",
      +       "        1118.31229699, 1143.12427665, 1144.39754749, 1094.70188235,\n",
      +       "        1105.15513811, 1106.49152597, 1108.26515963, 1094.76160024]])
  • created_at :
    2019-11-17T21:01:35.138061
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, draw: 100)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 9 ... 91 92 93 94 95 96 97 98 99\n", + "Data variables:\n", + " b0 (chain, draw) float64 -2.473 1.283 13.96 ... 5.846 13.28 14.28\n", + " b1 (chain, draw) float64 84.11 82.99 76.27 ... 83.48 80.23 81.3\n", + " log_sigma (chain, draw) float64 6.994 7.016 7.014 ... 7.009 7.011 6.998\n", + " sigma (chain, draw) float64 1.09e+03 1.115e+03 ... 1.108e+03 1.095e+03\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.138061\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • developer: 5
    • draw: 100
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 6 ... 94 95 96 97 98 99
      array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
      +       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
      +       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
      +       "       54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,\n",
      +       "       72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,\n",
      +       "       90, 91, 92, 93, 94, 95, 96, 97, 98, 99])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • accept_stat
      (chain, draw)
      float64
      0.9974 0.9961 ... 0.9143 0.5726
      array([[0.99743553, 0.99606649, 0.98874923, 0.94993368, 0.90813411,\n",
      +       "        0.98239226, 0.98831988, 0.98757133, 0.90225445, 0.73792471,\n",
      +       "        0.97331451, 0.99853332, 0.84691987, 0.99779425, 0.94836677,\n",
      +       "        0.98918833, 0.57945236, 0.98472468, 0.97613008, 0.4998127 ,\n",
      +       "        0.99993719, 0.80732362, 0.94582433, 0.9879162 , 0.98508798,\n",
      +       "        0.69254705, 0.99996995, 0.97699133, 0.96524946, 0.95674382,\n",
      +       "        0.98525534, 0.99668109, 0.9981179 , 0.99995204, 0.792518  ,\n",
      +       "        0.99999873, 0.87070661, 0.78821184, 0.99999234, 0.99427781,\n",
      +       "        0.96520453, 0.91525625, 0.99780495, 0.99734448, 0.51605336,\n",
      +       "        0.64469001, 0.99344525, 1.        , 0.94934944, 0.70855305,\n",
      +       "        0.99954338, 0.98549032, 0.83038799, 0.99862232, 0.99748429,\n",
      +       "        0.86167803, 0.99679096, 0.97235404, 0.98990693, 0.9872649 ,\n",
      +       "        0.97455582, 0.91051602, 0.99713599, 0.98673505, 0.99988395,\n",
      +       "        0.99843053, 0.44544033, 0.93656681, 0.95411514, 0.90544572,\n",
      +       "        0.99926985, 0.99204711, 0.94582787, 0.74538617, 0.96456942,\n",
      +       "        0.97244353, 0.99409259, 0.98927315, 0.99992789, 0.83765997,\n",
      +       "        0.99307058, 0.94126576, 0.77768574, 0.97186947, 0.96867335,\n",
      +       "        0.99428437, 0.98718719, 0.85054457, 0.87574403, 0.97455552,\n",
      +       "        0.99253206, 0.73394704, 0.94495024, 0.99966504, 0.99584291,\n",
      +       "        0.81778243, 0.93431814, 0.94523893, 0.55653327, 0.89350502],\n",
      +       "       [0.96084814, 0.88087758, 0.89552359, 0.96458659, 0.99981731,\n",
      +       "        0.99953251, 0.91471795, 0.96964328, 0.9893968 , 0.79005895,\n",
      +       "        0.99468382, 0.97152568, 0.94093341, 0.7869786 , 0.99598994,\n",
      +       "        0.99766272, 0.96458021, 0.79915656, 0.86310245, 0.98885205,\n",
      +       "        0.99473218, 0.99218625, 0.84848751, 0.99719353, 0.75781221,\n",
      +       "        0.98408132, 0.99197846, 0.84680927, 0.98307335, 0.99934904,\n",
      +       "        0.97739819, 0.9152927 , 0.84103561, 0.99764882, 0.99829055,\n",
      +       "        0.6566524 , 1.        , 0.99927903, 0.9849547 , 0.91850094,\n",
      +       "        0.93886299, 0.9507666 , 0.90390398, 0.97101399, 0.99747742,\n",
      +       "        0.93040694, 0.9998737 , 0.99403059, 0.9452544 , 0.9893351 ,\n",
      +       "        0.87437338, 0.99998696, 0.97704004, 0.73049771, 0.9866882 ,\n",
      +       "        0.96829276, 0.46009719, 0.99999512, 0.85855051, 0.99977122,\n",
      +       "        0.94881139, 0.95695444, 0.97537612, 0.97938294, 0.91628098,\n",
      +       "        0.98167457, 0.98645611, 0.95626276, 0.85558944, 0.75212659,\n",
      +       "        0.96642073, 0.96670393, 0.98081214, 0.95719163, 0.99906525,\n",
      +       "        0.98592656, 0.99997848, 0.99852815, 0.94062538, 0.80308114,\n",
      +       "        0.93645917, 0.99898429, 0.94833272, 0.95413221, 0.95744265,\n",
      +       "        0.96848388, 0.92737143, 0.99363271, 0.92874458, 0.77353792,\n",
      +       "        0.90655339, 0.99998001, 0.80967292, 0.86442453, 0.98867799,\n",
      +       "        0.98416167, 0.97958493, 0.89258973, 0.96491892, 0.99336082],\n",
      +       "       [0.99942264, 0.99665104, 0.90503898, 0.98123874, 0.99999812,\n",
      +       "        0.95046202, 0.92749937, 0.9793158 , 0.85119291, 0.9992594 ,\n",
      +       "        0.99210347, 0.8520152 , 0.99999441, 0.90793804, 0.99897929,\n",
      +       "        0.9612179 , 0.96732417, 0.94108425, 0.997269  , 0.88384155,\n",
      +       "        0.99999885, 0.97990511, 0.93160879, 0.92471242, 0.99908783,\n",
      +       "        0.86894375, 0.99324508, 0.9231124 , 0.94543038, 0.94187702,\n",
      +       "        0.95320918, 0.99636877, 0.9804594 , 0.92978329, 0.85863498,\n",
      +       "        0.98786351, 0.9971482 , 0.98745124, 0.99051988, 0.99996049,\n",
      +       "        0.99207302, 0.93888017, 0.98463141, 0.97899977, 0.66951307,\n",
      +       "        0.99229304, 0.9812848 , 0.94811397, 0.99925889, 0.97988367,\n",
      +       "        0.99994908, 0.98418057, 0.92979122, 0.99520444, 0.93224912,\n",
      +       "        0.99988331, 0.96477633, 0.99847799, 0.71903622, 0.91292453,\n",
      +       "        0.93374777, 0.99998595, 0.99731155, 0.8867161 , 0.99942808,\n",
      +       "        0.98250853, 0.97866943, 0.98855253, 0.91824883, 0.99719994,\n",
      +       "        0.34176499, 0.99978165, 0.99981151, 0.87294505, 1.        ,\n",
      +       "        0.99976152, 0.99555615, 0.99305769, 0.99998004, 0.99605745,\n",
      +       "        0.99099382, 0.87645516, 0.99981273, 0.98203446, 0.68114223,\n",
      +       "        0.99762324, 0.99622369, 0.99749592, 0.82627334, 0.99969915,\n",
      +       "        0.99532599, 0.9816593 , 0.99995781, 0.96985292, 0.93859898,\n",
      +       "        0.74007624, 0.98551802, 0.95364878, 0.98047025, 0.99999355],\n",
      +       "       [0.9920769 , 0.80564118, 0.98366547, 0.95061293, 0.99057273,\n",
      +       "        0.76253784, 0.89956808, 0.99998633, 0.80819517, 0.97629587,\n",
      +       "        0.95768441, 0.98985804, 0.99967323, 0.86827992, 0.93324542,\n",
      +       "        0.94328162, 0.78570449, 0.97753455, 0.98142835, 0.88944854,\n",
      +       "        0.97852258, 0.85011117, 1.        , 0.93309846, 0.9994196 ,\n",
      +       "        0.97588151, 0.79056796, 0.97544698, 0.99281741, 0.98754725,\n",
      +       "        0.99899257, 0.98776244, 0.79986156, 0.99880924, 0.79885083,\n",
      +       "        0.89822329, 0.97344881, 0.99996659, 0.90193089, 0.87241109,\n",
      +       "        0.99990885, 0.84071437, 0.98920548, 0.99445959, 0.99196269,\n",
      +       "        0.99697368, 0.99459453, 0.91091693, 0.47184266, 0.99568291,\n",
      +       "        0.99997984, 0.90839379, 0.94936929, 0.90874413, 0.99999077,\n",
      +       "        0.99996194, 0.98540564, 0.88571299, 0.80711527, 0.95710441,\n",
      +       "        0.98359245, 0.74838033, 0.55394286, 0.92479149, 0.80055836,\n",
      +       "        0.99384004, 0.99993421, 0.65370243, 0.75365188, 0.99964093,\n",
      +       "        0.99735881, 0.99630113, 0.99565551, 0.93565999, 0.90240061,\n",
      +       "        0.99985889, 0.99842297, 0.99699465, 0.99977083, 0.94197192,\n",
      +       "        0.91817089, 0.94223826, 0.89178203, 0.92481534, 0.82361123,\n",
      +       "        1.        , 0.99447101, 0.4979923 , 0.9978715 , 0.999718  ,\n",
      +       "        0.85734058, 0.94129906, 0.99455814, 0.62840287, 0.93179396,\n",
      +       "        1.        , 0.99991094, 0.72414563, 0.91427258, 0.57259311]])
    • stepsize
      (chain, draw)
      float64
      0.01525 0.01525 ... 0.01615 0.01615
      array([[0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508,\n",
      +       "        0.01524508, 0.01524508, 0.01524508, 0.01524508, 0.01524508],\n",
      +       "       [0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936,\n",
      +       "        0.01491936, 0.01491936, 0.01491936, 0.01491936, 0.01491936],\n",
      +       "       [0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815,\n",
      +       "        0.01352815, 0.01352815, 0.01352815, 0.01352815, 0.01352815],\n",
      +       "       [0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653,\n",
      +       "        0.01614653, 0.01614653, 0.01614653, 0.01614653, 0.01614653]])
    • treedepth
      (chain, draw)
      int64
      8 9 10 9 9 10 10 ... 9 2 2 9 9 10 8
      array([[ 8,  9, 10,  9,  9, 10, 10, 10, 10,  9, 10, 10,  9, 10, 10, 10,\n",
      +       "         2, 10, 10,  2, 10, 10, 10, 10, 10,  7,  6, 10,  8,  4, 10, 10,\n",
      +       "        10, 10, 10, 10,  7, 10,  7, 10, 10, 10, 10,  1, 10, 10, 10,  1,\n",
      +       "        10,  9, 10, 10,  9,  9, 10,  2, 10, 10, 10, 10, 10,  9,  9, 10,\n",
      +       "         7,  8,  2,  2,  9, 10, 10, 10,  9,  8, 10, 10, 10, 10,  9, 10,\n",
      +       "         9, 10, 10,  8, 10, 10,  9, 10, 10, 10, 10,  4, 10,  3, 10, 10,\n",
      +       "         2, 10,  2,  8],\n",
      +       "       [ 9,  9,  8, 10, 10, 10, 10, 10, 10,  9, 10, 10,  9,  9,  6, 10,\n",
      +       "         2, 10,  2, 10, 10, 10, 10, 10,  8, 10, 10,  2,  7, 10, 10,  5,\n",
      +       "        10, 10, 10,  9,  1,  9,  9,  8, 10, 10,  7, 10, 10, 10, 10, 10,\n",
      +       "        10, 10,  9, 10,  2,  2,  9,  9,  1,  9, 10, 10,  9,  2, 10, 10,\n",
      +       "        10, 10, 10, 10, 10,  1,  8,  6,  2, 10, 10,  9, 10, 10, 10, 10,\n",
      +       "         2, 10, 10, 10, 10,  2, 10, 10, 10,  1,  6, 10, 10, 10, 10, 10,\n",
      +       "         9,  2, 10, 10],\n",
      +       "       [10, 10, 10, 10, 10,  9, 10,  9,  9, 10, 10, 10, 10,  2,  7, 10,\n",
      +       "        10, 10, 10, 10, 10, 10,  2,  2, 10, 10, 10, 10, 10,  2,  9, 10,\n",
      +       "         9, 10, 10,  6,  8, 10, 10, 10, 10, 10, 10, 10,  9, 10, 10, 10,\n",
      +       "        10, 10, 10,  7, 10, 10, 10, 10,  9,  9,  7, 10, 10,  9, 10,  2,\n",
      +       "        10, 10, 10, 10,  3, 10,  2,  8,  8,  9,  1, 10, 10, 10, 10, 10,\n",
      +       "        10,  9,  9, 10, 10,  3,  3, 10, 10, 10,  9, 10, 10, 10, 10,  2,\n",
      +       "        10,  2,  9, 10],\n",
      +       "       [10, 10,  9,  8, 10,  8, 10, 10, 10,  9, 10, 10, 10,  8, 10,  5,\n",
      +       "        10, 10,  8, 10, 10, 10,  1,  2,  8, 10,  9, 10, 10, 10, 10, 10,\n",
      +       "         9, 10, 10, 10,  9,  9,  7,  9, 10, 10, 10, 10, 10, 10, 10,  9,\n",
      +       "         2, 10, 10, 10, 10, 10,  8, 10, 10, 10, 10, 10, 10, 10,  2, 10,\n",
      +       "        10, 10, 10, 10,  4,  8, 10, 10, 10,  9, 10, 10, 10, 10, 10, 10,\n",
      +       "         3, 10, 10, 10, 10,  1, 10,  9, 10,  9,  9, 10, 10,  9,  2,  2,\n",
      +       "         9,  9, 10,  8]])
    • n_leapfrog
      (chain, draw)
      int64
      307 531 1023 1015 ... 863 1023 367
      array([[ 307,  531, 1023, 1015,  979, 1023, 1023, 1023, 1023,  987, 1023,\n",
      +       "        1023, 1015, 1023, 1023, 1023,    3, 1023, 1023,    7, 1023, 1023,\n",
      +       "        1023, 1023, 1023,  147,  123, 1023,  503,   19, 1023, 1023, 1023,\n",
      +       "        1023, 1023, 1023,  235, 1023,  183, 1023, 1023, 1023, 1023,    3,\n",
      +       "        1023, 1023, 1023,    3, 1023,  655, 1023, 1023,  775,  863, 1023,\n",
      +       "           3, 1023, 1023, 1023, 1023, 1023,  551, 1023, 1023,  215,  255,\n",
      +       "           3,    3, 1023, 1023, 1023, 1023,  911,  479, 1023, 1023, 1023,\n",
      +       "        1023,  899, 1023,  511, 1023, 1023,  311, 1023, 1023,  699, 1023,\n",
      +       "        1023, 1023, 1023,   23, 1023,   11, 1023, 1023,    3, 1023,    3,\n",
      +       "         475],\n",
      +       "       [ 655,  955,  455, 1023, 1023, 1023, 1023, 1023, 1023,  859, 1023,\n",
      +       "        1023,  983,  523,  127, 1023,    3, 1023,    3, 1023, 1023, 1023,\n",
      +       "        1023, 1023,  423, 1023, 1023,    3,  239, 1023, 1023,   35, 1023,\n",
      +       "        1023, 1023,  975,    1,  811,  891,  403, 1023, 1023,  227, 1023,\n",
      +       "        1023, 1023, 1023, 1023, 1023, 1023,  875, 1023,    3,    3,  871,\n",
      +       "         659,    3,  943, 1023, 1023,  515,    3, 1023, 1023, 1023, 1023,\n",
      +       "        1023, 1023, 1023,    1,  331,  111,    3, 1023, 1023,  723, 1023,\n",
      +       "        1023, 1023, 1023,    3, 1023, 1023, 1023, 1023,    3, 1023, 1023,\n",
      +       "        1023,    1,   95, 1023, 1023, 1023, 1023, 1023,  595,    7, 1023,\n",
      +       "        1023],\n",
      +       "       [1023, 1023, 1023, 1023, 1023,  563, 1023,  719,  955, 1023, 1023,\n",
      +       "        1023, 1023,    3,  151, 1023, 1023, 1023, 1023, 1023, 1023, 1023,\n",
      +       "           3,    7, 1023, 1023, 1023, 1023, 1023,    3, 1011, 1023,  971,\n",
      +       "        1023, 1023,   75,  255, 1023, 1023, 1023, 1023, 1023, 1023, 1023,\n",
      +       "         967, 1023, 1023, 1023, 1023, 1023, 1023,  159, 1023, 1023, 1023,\n",
      +       "        1023,  535,  807,  183, 1023, 1023,  659, 1023,    3, 1023, 1023,\n",
      +       "        1023, 1023,   11, 1023,    3,  343,  275,  559,    3, 1023, 1023,\n",
      +       "        1023, 1023, 1023, 1023,  883,  711, 1023, 1023,   11,   11, 1023,\n",
      +       "        1023, 1023,  767, 1023, 1023, 1023, 1023,    3, 1023,    3,  703,\n",
      +       "        1023],\n",
      +       "       [1023, 1023,  511,  511, 1023,  279, 1023, 1023, 1023,  703, 1023,\n",
      +       "        1023, 1023,  439, 1023,   51, 1023, 1023,  283, 1023, 1023, 1023,\n",
      +       "           1,    3,  335, 1023,  643, 1023, 1023, 1023, 1023, 1023,  755,\n",
      +       "        1023, 1023, 1023,  511,  511,  151,  599, 1023, 1023, 1023, 1023,\n",
      +       "        1023, 1023, 1023,  719,    3, 1023, 1023, 1023, 1023, 1023,  303,\n",
      +       "        1023, 1023, 1023, 1023, 1023, 1023, 1023,    3, 1023, 1023, 1023,\n",
      +       "        1023, 1023,   27,  331, 1023, 1023, 1023,  971, 1023, 1023, 1023,\n",
      +       "        1023, 1023, 1023,   15, 1023, 1023, 1023, 1023,    1, 1023,  799,\n",
      +       "        1023,  851,  951, 1023, 1023,  779,    7,    3,  867,  863, 1023,\n",
      +       "         367]])
    • diverging
      (chain, draw)
      bool
      False False False ... False False
      array([[False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False],\n",
      +       "       [False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False, False, False, False, False, False, False, False, False,\n",
      +       "        False]])
    • energy
      (chain, draw)
      float64
      1.462e+03 1.458e+03 ... 1.46e+03
      array([[1461.75711236, 1457.53382578, 1456.77599276, 1457.55105991,\n",
      +       "        1458.08791707, 1457.8694266 , 1456.79862578, 1457.64170269,\n",
      +       "        1457.72951576, 1458.61883842, 1456.17774008, 1456.29135522,\n",
      +       "        1457.52419856, 1456.58773748, 1456.8681104 , 1457.50591548,\n",
      +       "        1458.75579464, 1459.58314118, 1459.37071058, 1461.03580244,\n",
      +       "        1459.32724325, 1462.26009883, 1460.1759835 , 1459.89195102,\n",
      +       "        1457.63925781, 1459.87071252, 1459.469652  , 1459.20841251,\n",
      +       "        1456.75088467, 1456.4837131 , 1457.30220917, 1457.67844318,\n",
      +       "        1457.45801631, 1458.09266418, 1458.87648785, 1457.50254614,\n",
      +       "        1458.43758117, 1460.89613532, 1458.61980882, 1457.54686268,\n",
      +       "        1456.64064607, 1459.18306189, 1457.55731994, 1457.23814336,\n",
      +       "        1463.18252506, 1462.7481968 , 1459.22359964, 1457.61732707,\n",
      +       "        1456.82377292, 1459.02932756, 1456.88478239, 1457.57788852,\n",
      +       "        1458.91394719, 1458.39786827, 1458.53171718, 1456.52120772,\n",
      +       "        1457.04223991, 1458.58568917, 1457.6050367 , 1456.92190302,\n",
      +       "        1457.51693353, 1456.35770724, 1456.98630259, 1459.44454051,\n",
      +       "        1458.12517452, 1458.01207201, 1461.28805571, 1459.73769976,\n",
      +       "        1459.24066133, 1459.29120161, 1459.10315603, 1457.38460281,\n",
      +       "        1460.3073294 , 1460.63658543, 1459.88325069, 1459.99802444,\n",
      +       "        1457.01302344, 1457.4063376 , 1459.02412305, 1457.76375401,\n",
      +       "        1456.65217229, 1457.6619565 , 1459.23894156, 1457.40888876,\n",
      +       "        1458.40164319, 1456.77683344, 1456.48989671, 1459.84975269,\n",
      +       "        1459.90705117, 1457.02074133, 1457.12597863, 1458.34917805,\n",
      +       "        1457.95754856, 1456.54330246, 1458.05587018, 1460.39674992,\n",
      +       "        1458.19358416, 1458.53829517, 1459.7610113 , 1460.18375755],\n",
      +       "       [1456.93066228, 1458.71617007, 1457.42712913, 1457.83668515,\n",
      +       "        1457.15611624, 1457.4712135 , 1456.99784908, 1457.61332894,\n",
      +       "        1457.7137288 , 1459.51458072, 1456.87652135, 1456.93975181,\n",
      +       "        1458.58143071, 1458.24466937, 1457.88161551, 1457.42206813,\n",
      +       "        1456.98985536, 1458.94904173, 1458.51182007, 1456.75140171,\n",
      +       "        1457.89168753, 1456.31773946, 1457.8207078 , 1457.90539977,\n",
      +       "        1458.0951781 , 1456.41757664, 1458.6782683 , 1458.87238887,\n",
      +       "        1459.47277955, 1459.48693537, 1459.29954695, 1456.99618374,\n",
      +       "        1458.39279232, 1456.19429429, 1455.76939495, 1459.31948643,\n",
      +       "        1458.52622275, 1457.71500215, 1457.63408172, 1457.17704832,\n",
      +       "        1456.62518314, 1459.77962291, 1456.94478952, 1457.45823362,\n",
      +       "        1462.35643209, 1461.30453618, 1457.54348988, 1456.62453408,\n",
      +       "        1456.96081413, 1456.3921586 , 1457.45706811, 1457.13585462,\n",
      +       "        1455.96041054, 1457.02036846, 1457.96390879, 1456.22869469,\n",
      +       "        1459.2648649 , 1458.36496352, 1456.76142212, 1456.6465335 ,\n",
      +       "        1456.78642896, 1456.70415552, 1456.62089813, 1457.64823236,\n",
      +       "        1457.82985999, 1456.96071436, 1459.87056353, 1458.91691738,\n",
      +       "        1459.21151311, 1458.62301404, 1459.20362006, 1458.45152341,\n",
      +       "        1457.34735279, 1457.30035632, 1456.92014816, 1455.99371904,\n",
      +       "        1458.16402658, 1457.53250465, 1457.98165149, 1459.65061979,\n",
      +       "        1457.94148212, 1459.41640399, 1457.51789805, 1457.78659366,\n",
      +       "        1456.77033804, 1456.78533669, 1457.54695115, 1458.12354044,\n",
      +       "        1458.76254599, 1458.80434946, 1459.01039326, 1458.26598569,\n",
      +       "        1459.98570938, 1459.79568672, 1460.02825825, 1456.86096148,\n",
      +       "        1456.83947868, 1457.33800691, 1458.81997788, 1460.7940695 ],\n",
      +       "       [1456.29929242, 1456.39892839, 1457.5512867 , 1457.99638432,\n",
      +       "        1456.81136157, 1456.75923592, 1457.26685812, 1457.22061895,\n",
      +       "        1459.80940576, 1456.75892034, 1457.17500311, 1462.02835861,\n",
      +       "        1460.33612719, 1459.16599931, 1458.7846602 , 1459.76451258,\n",
      +       "        1460.47226567, 1461.96712708, 1458.0378251 , 1460.20964287,\n",
      +       "        1459.46757543, 1458.64343822, 1457.25481933, 1457.42732173,\n",
      +       "        1457.44586313, 1458.65647082, 1456.15262143, 1459.64138854,\n",
      +       "        1459.88341974, 1456.8915711 , 1458.26331886, 1458.03501615,\n",
      +       "        1456.77485108, 1457.78529324, 1461.62465653, 1458.70871389,\n",
      +       "        1458.69872466, 1459.55883072, 1456.66000822, 1457.13260229,\n",
      +       "        1458.40776598, 1456.40851024, 1457.80113547, 1457.50277776,\n",
      +       "        1463.25407971, 1458.45412136, 1458.43376131, 1456.98042685,\n",
      +       "        1456.94429362, 1456.34122476, 1456.42051095, 1456.39052005,\n",
      +       "        1457.50301641, 1456.97422256, 1456.9121614 , 1457.9421674 ,\n",
      +       "        1457.61724271, 1458.1107897 , 1460.31267489, 1460.23687244,\n",
      +       "        1461.40451275, 1458.495805  , 1456.73086432, 1456.96603175,\n",
      +       "        1456.66697004, 1456.28838648, 1458.03679771, 1457.21858907,\n",
      +       "        1457.02589814, 1457.36119303, 1462.37650168, 1461.9109007 ,\n",
      +       "        1459.98074218, 1459.32494052, 1456.52351581, 1457.15647009,\n",
      +       "        1456.65074658, 1458.19997623, 1456.14929642, 1456.8713983 ,\n",
      +       "        1456.25874006, 1457.73429964, 1456.58592769, 1456.12832375,\n",
      +       "        1461.41071937, 1460.02907737, 1459.67426999, 1459.05557051,\n",
      +       "        1459.88358723, 1459.11819899, 1458.73040133, 1458.51951114,\n",
      +       "        1458.27397448, 1457.6862798 , 1461.17835843, 1462.71673689,\n",
      +       "        1462.03009826, 1459.32057775, 1459.39468212, 1457.07986452],\n",
      +       "       [1459.72901059, 1460.79317861, 1458.86359144, 1460.34253695,\n",
      +       "        1461.24257725, 1462.72589851, 1462.75535699, 1456.2568211 ,\n",
      +       "        1457.95812029, 1456.84407967, 1457.15251105, 1458.47597495,\n",
      +       "        1456.88411698, 1457.51623209, 1458.70473674, 1458.25666546,\n",
      +       "        1463.14822825, 1460.03560902, 1459.48622953, 1460.35011447,\n",
      +       "        1459.91919901, 1457.74771924, 1457.30508333, 1457.5275905 ,\n",
      +       "        1457.61069623, 1459.10973461, 1457.96864885, 1457.63395964,\n",
      +       "        1458.26546255, 1458.26912805, 1458.61377686, 1457.80121009,\n",
      +       "        1460.77602233, 1459.83323662, 1458.314143  , 1459.22999368,\n",
      +       "        1456.80687606, 1456.67475759, 1457.19400656, 1457.76613599,\n",
      +       "        1456.05683232, 1459.18795652, 1459.25471288, 1460.77446314,\n",
      +       "        1458.55780944, 1458.29711431, 1459.25973351, 1458.66833712,\n",
      +       "        1460.36595521, 1460.3449037 , 1456.59017086, 1456.24825962,\n",
      +       "        1458.81987976, 1459.57656904, 1458.84047705, 1458.20870512,\n",
      +       "        1456.20245505, 1458.99368293, 1461.41987609, 1461.34634159,\n",
      +       "        1460.05477139, 1460.3213122 , 1459.75152644, 1459.92863353,\n",
      +       "        1459.99404396, 1458.72627977, 1459.02777904, 1460.90029608,\n",
      +       "        1458.67089192, 1458.44872138, 1459.62165535, 1458.44138951,\n",
      +       "        1456.55663151, 1456.06604796, 1457.26710024, 1456.78343288,\n",
      +       "        1456.55385641, 1456.63275071, 1457.30769544, 1459.42492621,\n",
      +       "        1456.68628247, 1458.33282097, 1460.17568003, 1459.19073256,\n",
      +       "        1459.02603207, 1458.00953573, 1457.43713075, 1461.76379495,\n",
      +       "        1460.37316453, 1459.5063267 , 1457.03053348, 1456.20756095,\n",
      +       "        1456.00982614, 1458.57333414, 1457.81633946, 1457.18367535,\n",
      +       "        1456.8191137 , 1457.84255191, 1456.65467492, 1459.52182784]])
    • log_likelihood
      (chain, draw, developer)
      float64
      -29.28 -46.69 ... -252.4 -290.4
      array([[[ -29.27747847,  -46.69179964, -144.51549377, -254.31132011,\n",
      +       "         -292.23771876],\n",
      +       "        [ -28.36142544,  -45.02014926, -138.54830711, -243.61157598,\n",
      +       "         -280.01324795],\n",
      +       "        [ -28.56496807,  -45.42276321, -139.71699453, -246.15022559,\n",
      +       "         -283.68855586],\n",
      +       "        ...,\n",
      +       "        [ -28.0019235 ,  -44.39949155, -137.38370228, -240.82760129,\n",
      +       "         -275.24778814],\n",
      +       "        [ -28.92466524,  -46.09499163, -143.46196056, -251.78068453,\n",
      +       "         -287.82165482],\n",
      +       "        [ -27.44856901,  -43.37190351, -133.48378514, -233.92349161,\n",
      +       "         -267.6189373 ]],\n",
      +       "\n",
      +       "       [[ -28.80980202,  -45.85086236, -141.54229468, -249.03702298,\n",
      +       "         -286.27402106],\n",
      +       "        [ -28.5700097 ,  -45.42444112, -140.34000724, -246.67222134,\n",
      +       "         -283.0930912 ],\n",
      +       "        [ -27.50888617,  -43.47607469, -133.41813051, -234.15420753,\n",
      +       "         -268.62348856],\n",
      +       "        ...,\n",
      +       "        [ -28.99989142,  -46.23987358, -142.79969057, -251.68610326,\n",
      +       "         -289.9265026 ],\n",
      +       "        [ -27.36578702,  -43.21857887, -132.6155693 , -232.63644388,\n",
      +       "         -266.71132287],\n",
      +       "        [ -29.18764949,  -46.58770778, -144.17682403, -254.07036776,\n",
      +       "         -292.45189067]],\n",
      +       "\n",
      +       "       [[ -28.29109317,  -44.91461756, -137.82288277, -242.76990432,\n",
      +       "         -279.89632235],\n",
      +       "        [ -28.50947385,  -45.31730239, -139.28389824, -245.39604169,\n",
      +       "         -282.89162134],\n",
      +       "        [ -27.70324386,  -43.82376048, -133.96305703, -235.70065751,\n",
      +       "         -271.59299428],\n",
      +       "        ...,\n",
      +       "        [ -29.31777935,  -46.82995103, -145.1334815 , -255.73634376,\n",
      +       "         -294.23209399],\n",
      +       "        [ -28.75952326,  -45.79164562, -141.37523685, -248.91337566,\n",
      +       "         -286.35090158],\n",
      +       "        [ -27.89685839,  -44.20515056, -135.29891336, -238.30335857,\n",
      +       "         -274.87061547]],\n",
      +       "\n",
      +       "       [[ -28.85614052,  -45.89444077, -139.77204349, -247.29231264,\n",
      +       "         -287.41594573],\n",
      +       "        [ -28.73693068,  -45.7065453 , -139.34542912, -246.50751184,\n",
      +       "         -286.34696035],\n",
      +       "        [ -28.76706718,  -45.76396612, -139.45839771, -246.80709651,\n",
      +       "         -286.87984139],\n",
      +       "        ...,\n",
      +       "        [ -28.6222037 ,  -45.51236516, -140.39007763, -246.94682262,\n",
      +       "         -283.81923768],\n",
      +       "        [ -28.59936447,  -45.48814456, -140.19288372, -246.80651766,\n",
      +       "         -284.02076075],\n",
      +       "        [ -29.06542569,  -46.34839997, -143.33529749, -252.4424903 ,\n",
      +       "         -290.41923803]]])
    • lp
      (chain, draw)
      float64
      -1.458e+03 ... -1.457e+03
      array([[-1457.69106747, -1455.8266224 , -1455.90709062, -1456.02577446,\n",
      +       "        -1457.06374254, -1456.05775621, -1456.01673601, -1455.90198333,\n",
      +       "        -1456.36579433, -1455.79541955, -1455.76554168, -1455.58014932,\n",
      +       "        -1456.02666009, -1456.02981565, -1456.68544916, -1456.430609  ,\n",
      +       "        -1458.20694258, -1458.77116898, -1457.5570131 , -1457.42348434,\n",
      +       "        -1458.6270351 , -1458.91545453, -1459.35645695, -1457.04703031,\n",
      +       "        -1457.11694993, -1459.04914577, -1459.09640712, -1456.18846596,\n",
      +       "        -1456.17807329, -1456.37996896, -1456.35283559, -1456.35682355,\n",
      +       "        -1456.7875933 , -1456.14727136, -1457.21212382, -1457.18948827,\n",
      +       "        -1457.93323483, -1458.81670659, -1456.85655517, -1456.290556  ,\n",
      +       "        -1455.82710439, -1457.25382181, -1457.40987376, -1456.59144758,\n",
      +       "        -1458.19647146, -1458.40297318, -1458.10306601, -1456.38774273,\n",
      +       "        -1456.2156138 , -1456.14173575, -1455.87701261, -1455.9217897 ,\n",
      +       "        -1457.70490839, -1455.94516268, -1455.69728178, -1456.41576519,\n",
      +       "        -1456.27585669, -1456.58535684, -1456.54832277, -1456.83805647,\n",
      +       "        -1455.71230683, -1455.78069996, -1456.48789305, -1457.88281169,\n",
      +       "        -1457.94417526, -1457.99244747, -1459.37472804, -1458.02578174,\n",
      +       "        -1457.72100633, -1458.6142587 , -1456.27345753, -1456.36705737,\n",
      +       "        -1457.39153041, -1457.20257206, -1458.20106514, -1456.37275504,\n",
      +       "        -1456.64946432, -1457.20867801, -1455.90368877, -1456.45911169,\n",
      +       "        -1456.61267955, -1456.85316276, -1457.11455397, -1456.54714656,\n",
      +       "        -1456.32947126, -1455.89477016, -1456.11472319, -1458.71111091,\n",
      +       "        -1456.36330618, -1456.28687232, -1456.55457228, -1456.18879684,\n",
      +       "        -1456.48809905, -1456.5017225 , -1456.49807171, -1457.84730333,\n",
      +       "        -1457.8137184 , -1457.51811568, -1458.77979619, -1457.75939653],\n",
      +       "       [-1456.15177734, -1456.16886351, -1456.93383719, -1456.75141332,\n",
      +       "        -1456.07861642, -1455.72782305, -1456.19607274, -1456.5877902 ,\n",
      +       "        -1456.49149441, -1456.79334254, -1456.32336459, -1455.78226195,\n",
      +       "        -1456.16529055, -1457.87092812, -1456.92021932, -1456.76269069,\n",
      +       "        -1456.55346188, -1457.66743736, -1456.45556216, -1456.32283088,\n",
      +       "        -1456.0630339 , -1455.75143313, -1457.32622422, -1456.18210801,\n",
      +       "        -1456.09175988, -1456.21845621, -1457.60319376, -1458.86643375,\n",
      +       "        -1458.10214433, -1459.01251902, -1456.52046601, -1456.59190648,\n",
      +       "        -1455.59899924, -1455.57629168, -1455.59438235, -1458.48831884,\n",
      +       "        -1457.33900366, -1457.20892663, -1456.26530221, -1455.82107636,\n",
      +       "        -1456.04171545, -1456.11999582, -1456.08570655, -1456.46015035,\n",
      +       "        -1458.94912017, -1457.30017213, -1456.1081797 , -1456.24070257,\n",
      +       "        -1456.26442877, -1455.71602065, -1456.36366227, -1455.82910732,\n",
      +       "        -1455.64711674, -1456.75449488, -1455.92196563, -1455.7316469 ,\n",
      +       "        -1458.67217934, -1455.66415329, -1456.32899297, -1455.87617754,\n",
      +       "        -1456.58226885, -1456.05829778, -1455.85712016, -1456.14830756,\n",
      +       "        -1456.59209973, -1456.2099001 , -1457.91428768, -1457.72628287,\n",
      +       "        -1457.50659548, -1458.42976463, -1458.18750928, -1457.2236633 ,\n",
      +       "        -1456.72705332, -1456.01890354, -1455.64618109, -1455.84032748,\n",
      +       "        -1456.78565475, -1455.67553564, -1456.63095721, -1456.95020738,\n",
      +       "        -1457.63482264, -1455.87139957, -1456.2761222 , -1456.28328721,\n",
      +       "        -1456.5624516 , -1456.29157296, -1456.30357056, -1456.49982355,\n",
      +       "        -1458.12063367, -1458.12063367, -1458.05158158, -1456.3855465 ,\n",
      +       "        -1456.41316104, -1457.93873   , -1456.28139198, -1456.61773211,\n",
      +       "        -1456.53597662, -1457.19569618, -1457.44830029, -1457.82131109],\n",
      +       "       [-1455.78968469, -1455.81700326, -1456.43249993, -1456.42117708,\n",
      +       "        -1456.27257657, -1455.93164674, -1456.37780209, -1456.65573943,\n",
      +       "        -1456.56548693, -1456.04306928, -1456.51936681, -1459.8710922 ,\n",
      +       "        -1458.45286622, -1458.62988101, -1458.5040104 , -1458.64828887,\n",
      +       "        -1458.37525624, -1457.89028963, -1457.75772464, -1458.40046585,\n",
      +       "        -1457.74308042, -1456.63927402, -1456.82500662, -1456.7493838 ,\n",
      +       "        -1456.24590053, -1455.92000909, -1455.9444545 , -1457.10913319,\n",
      +       "        -1456.16975609, -1456.13015559, -1456.91776092, -1456.17641299,\n",
      +       "        -1455.69406364, -1456.83463476, -1458.60259119, -1458.56136113,\n",
      +       "        -1458.65507107, -1456.30997391, -1455.64254637, -1457.03988292,\n",
      +       "        -1455.71601106, -1455.76366496, -1456.85731946, -1455.64850804,\n",
      +       "        -1457.26602029, -1457.54726063, -1456.10881886, -1455.69831992,\n",
      +       "        -1455.71257973, -1456.1798702 , -1456.18346425, -1456.24026453,\n",
      +       "        -1456.74155942, -1455.90955374, -1456.25467589, -1457.19670193,\n",
      +       "        -1456.47209521, -1457.31328159, -1457.81545914, -1459.81989501,\n",
      +       "        -1458.29033617, -1456.01162219, -1456.15998549, -1456.42890242,\n",
      +       "        -1456.06854279, -1455.70788854, -1456.35807202, -1456.41614048,\n",
      +       "        -1456.39474336, -1457.13273398, -1461.1458595 , -1459.8818106 ,\n",
      +       "        -1457.47549495, -1456.65694337, -1456.09050652, -1456.16094894,\n",
      +       "        -1455.99209762, -1456.05437766, -1455.72099786, -1455.85512609,\n",
      +       "        -1455.6423721 , -1456.57340247, -1455.76709609, -1455.96071338,\n",
      +       "        -1459.45372306, -1459.49506415, -1457.54360992, -1457.3367198 ,\n",
      +       "        -1458.20785386, -1457.12539084, -1457.42477608, -1457.74434354,\n",
      +       "        -1456.67180905, -1456.18039899, -1459.78704507, -1460.84006308,\n",
      +       "        -1458.35340746, -1458.42490832, -1456.44134219, -1456.75818955],\n",
      +       "       [-1458.86905402, -1458.28920841, -1458.75784999, -1459.0997711 ,\n",
      +       "        -1460.63781898, -1460.88321447, -1455.92667738, -1455.84088006,\n",
      +       "        -1456.36058269, -1456.04252065, -1456.42123953, -1456.45756028,\n",
      +       "        -1456.48104506, -1456.25197568, -1457.8947884 , -1458.13861616,\n",
      +       "        -1457.79775373, -1459.23616212, -1459.00163955, -1459.64649061,\n",
      +       "        -1456.20947533, -1457.39466387, -1456.84100535, -1457.43705535,\n",
      +       "        -1456.83928515, -1456.45543944, -1457.13002413, -1457.39137737,\n",
      +       "        -1457.60481262, -1457.46340143, -1457.35871406, -1456.46617097,\n",
      +       "        -1459.67143302, -1455.99583937, -1457.2062609 , -1456.59154378,\n",
      +       "        -1456.63249697, -1456.57304915, -1456.97256945, -1456.00810308,\n",
      +       "        -1455.71258886, -1458.32229345, -1458.36857739, -1456.83278509,\n",
      +       "        -1457.31748168, -1456.81276855, -1457.4881999 , -1456.1322701 ,\n",
      +       "        -1459.96272536, -1456.33492918, -1455.57659013, -1456.03248427,\n",
      +       "        -1456.30704585, -1458.59188964, -1458.08770357, -1456.0971824 ,\n",
      +       "        -1455.69469671, -1457.65613567, -1458.08993999, -1459.23801639,\n",
      +       "        -1457.47186706, -1457.4246733 , -1457.28708281, -1457.17751026,\n",
      +       "        -1457.75285312, -1458.12151483, -1457.72993293, -1457.1457709 ,\n",
      +       "        -1458.1232298 , -1457.71134598, -1458.24241898, -1456.15785449,\n",
      +       "        -1455.58604044, -1455.69768024, -1456.05047566, -1456.43638746,\n",
      +       "        -1455.71870854, -1456.0483076 , -1456.4162451 , -1456.12372149,\n",
      +       "        -1456.58662425, -1456.315707  , -1458.24635069, -1456.47319203,\n",
      +       "        -1457.97074236, -1457.10668578, -1455.91013008, -1459.8768064 ,\n",
      +       "        -1458.90976566, -1455.73619168, -1455.58456053, -1455.78100374,\n",
      +       "        -1455.61183393, -1457.10776131, -1457.25408882, -1456.74802488,\n",
      +       "        -1455.94386169, -1455.88962834, -1455.93825855, -1456.9215258 ]])
  • created_at :
    2019-11-17T21:01:35.142740
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, developer: 5, draw: 100)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 92 93 94 95 96 97 98 99\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " accept_stat (chain, draw) float64 0.9974 0.9961 0.9887 ... 0.9143 0.5726\n", + " stepsize (chain, draw) float64 0.01525 0.01525 ... 0.01615 0.01615\n", + " treedepth (chain, draw) int64 8 9 10 9 9 10 10 10 ... 9 2 2 9 9 10 8\n", + " n_leapfrog (chain, draw) int64 307 531 1023 1015 ... 867 863 1023 367\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " energy (chain, draw) float64 1.462e+03 1.458e+03 ... 1.46e+03\n", + " log_likelihood (chain, draw, developer) float64 -29.28 -46.69 ... -290.4\n", + " lp (chain, draw) float64 -1.458e+03 -1.456e+03 ... -1.457e+03\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.142740\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.sample_stats" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 4
    • developer: 5
    • draw: 100
    • chain
      (chain)
      int64
      0 1 2 3
      array([0, 1, 2, 3])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 6 ... 94 95 96 97 98 99
      array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
      +       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
      +       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
      +       "       54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,\n",
      +       "       72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,\n",
      +       "       90, 91, 92, 93, 94, 95, 96, 97, 98, 99])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments_hat
      (chain, draw, developer)
      float64
      1.263e+03 602.3 ... 729.6 2.383e+03
      array([[[ 1.26343851e+03,  6.02291169e+02,  1.07870559e+03,\n",
      +       "          1.60339559e+03,  1.17884801e+03],\n",
      +       "        [-1.18379273e+03, -5.42379259e+02,  1.21377336e+03,\n",
      +       "          1.90046996e+03,  4.62279362e+01],\n",
      +       "        [ 5.36578912e+02,  1.43164252e+03,  1.63518856e+03,\n",
      +       "          5.18322643e+02,  2.21791057e+03],\n",
      +       "        ...,\n",
      +       "        [ 8.57089569e+02,  1.00560847e+03,  1.06367292e+03,\n",
      +       "          6.10826196e+02,  1.47802676e+03],\n",
      +       "        [ 5.14628672e+02, -1.35346387e+02,  7.76177737e+02,\n",
      +       "          2.60060139e+03,  2.88132838e+03],\n",
      +       "        [-3.16331727e+02,  2.24213180e+02,  2.16509009e+02,\n",
      +       "         -5.09584938e+02,  3.36091418e+02]],\n",
      +       "\n",
      +       "       [[ 7.13114318e-01,  6.97756562e+02, -6.99985139e+02,\n",
      +       "          1.52957350e+03,  1.86725837e+03],\n",
      +       "        [ 2.66890691e+02, -1.02462541e+03, -2.01315726e+02,\n",
      +       "          2.96215161e+03,  2.99544836e+03],\n",
      +       "        [ 1.19954941e+02, -2.78283156e+02,  4.52282798e+02,\n",
      +       "          1.36934177e+03,  3.58093828e+03],\n",
      +       "        ...,\n",
      +       "        [-4.05429100e+02,  2.05792879e+03,  2.48826889e+02,\n",
      +       "         -4.95698635e+02,  2.11398326e+03],\n",
      +       "        [ 1.57828664e+03,  5.91198059e+02,  8.46230557e+02,\n",
      +       "          1.43956497e+02,  2.13040629e+03],\n",
      +       "        [-1.36506220e+03,  2.60514698e+02,  1.24592738e+03,\n",
      +       "          7.12918626e+02,  1.12368448e+03]],\n",
      +       "\n",
      +       "       [[ 2.16735209e+03, -2.87615927e+02,  1.99979164e+03,\n",
      +       "          1.97005774e+03,  1.50055196e+03],\n",
      +       "        [ 1.67013002e+03,  1.91749652e+03,  3.44414198e+02,\n",
      +       "         -4.04320325e+02,  2.97068949e+03],\n",
      +       "        [-1.39308101e+03,  2.54306382e+03,  9.28754435e+02,\n",
      +       "          6.89816520e+02,  4.09486428e+02],\n",
      +       "        ...,\n",
      +       "        [ 1.14526096e+03,  1.46666604e+03,  6.14292261e+02,\n",
      +       "          7.33831588e+02,  2.60164205e+03],\n",
      +       "        [ 8.04304825e+02,  2.93138681e+02,  5.65635572e+02,\n",
      +       "         -3.03939455e+02,  1.61265760e+03],\n",
      +       "        [-5.51502199e+02,  2.31105934e+03,  2.04589810e+03,\n",
      +       "          1.12808608e+03,  9.80873172e+02]],\n",
      +       "\n",
      +       "       [[ 6.80756419e+02,  1.17011339e+03,  1.04389008e+03,\n",
      +       "          3.86071839e+02,  1.34485023e+03],\n",
      +       "        [ 6.90192673e+01,  2.29429108e+03,  1.07526676e+03,\n",
      +       "          2.36319457e+03,  3.36993676e+02],\n",
      +       "        [ 1.86208428e+03,  3.82462081e+02, -1.83777211e+03,\n",
      +       "          1.56301744e+03,  1.90406291e+03],\n",
      +       "        ...,\n",
      +       "        [ 1.03895564e+03,  7.60892721e+02, -7.36026000e+02,\n",
      +       "          1.04327382e+02,  2.92591212e+03],\n",
      +       "        [-2.08234771e+03,  1.38893050e+03,  2.69914784e+02,\n",
      +       "          1.12211042e+03,  1.76148391e+03],\n",
      +       "        [ 3.34529223e+03, -5.24511803e+01,  2.05340013e+03,\n",
      +       "          7.29635422e+02,  2.38332627e+03]]])
  • created_at :
    2019-11-17T21:01:35.145856
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 4, developer: 5, draw: 100)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1 2 3\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 ... 92 93 94 95 96 97 98 99\n", + " * developer (developer) object 'Alice' 'Bob' ... 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments_hat (chain, draw, developer) float64 1.263e+03 ... 2.383e+03\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.145856\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.posterior_predictive" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • developer: 5
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments
      (developer)
      int64
      7500 10100 18600 25200 27500
      array([ 7500, 10100, 18600, 25200, 27500])
  • created_at :
    2019-11-17T21:01:35.133021
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (developer: 5)\n", + "Coordinates:\n", + " * developer (developer) object 'Alice' 'Bob' 'Cole' 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments (developer) int64 7500 10100 18600 25200 27500\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.133021\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.observed_data" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • developer: 5
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • time_since_joined
      (developer)
      float64
      4.5 6.0 7.0 12.0 18.0
      array([ 4.5,  6. ,  7. , 12. , 18. ])
  • created_at :
    2019-11-17T21:01:35.134979
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (developer: 5)\n", + "Coordinates:\n", + " * developer (developer) object 'Alice' 'Bob' ... 'Danielle' 'Erika'\n", + "Data variables:\n", + " time_since_joined (developer) float64 4.5 6.0 7.0 12.0 18.0\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.134979\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.constant_data" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 1
    • draw: 150
    • chain
      (chain)
      int64
      0
      array([0])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 145 146 147 148 149
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149])
    • b0
      (chain, draw)
      float64
      4.558 -5.178 ... -3.033 -1.882
      array([[ 4.55803810e+00, -5.17816567e+00,  3.13730934e+00,\n",
      +       "         3.48710108e+00,  2.63795858e+00,  8.65150276e+00,\n",
      +       "        -1.42716587e+01, -1.96383445e+01, -1.76939510e+01,\n",
      +       "         1.24861508e+00, -3.53888307e+00,  1.66995330e+01,\n",
      +       "        -2.38828460e+00,  3.22875219e+00, -6.01267884e+00,\n",
      +       "        -1.39005883e-01,  5.12159420e+00, -4.54838432e+00,\n",
      +       "         1.64335268e+00,  1.49391880e+01,  1.25033145e+01,\n",
      +       "        -1.30696447e+01,  1.14863929e+01,  4.56085625e+00,\n",
      +       "        -2.17544266e+00,  1.03840067e+01,  1.72087161e+01,\n",
      +       "        -8.91502709e-02, -1.16737645e+01, -1.01945684e+01,\n",
      +       "        -1.69076943e+01,  4.20840619e+00, -2.49601054e+01,\n",
      +       "        -9.87259015e+00, -4.50932389e-01, -1.19318584e+01,\n",
      +       "        -8.40866818e-01, -2.15042706e+00, -1.29132156e+01,\n",
      +       "        -1.88414577e+01,  1.05920647e+01,  1.65785950e+01,\n",
      +       "        -7.32754236e+00, -7.66821288e+00, -1.80442252e+01,\n",
      +       "        -3.95146454e+00,  5.04014957e+00,  3.81911420e+00,\n",
      +       "        -5.05793303e+00, -1.22106292e+01, -8.32228302e+00,\n",
      +       "        -1.12056069e+01,  4.06691095e+00,  1.55469269e+01,\n",
      +       "         1.14556586e+01,  1.47473042e+01, -1.60361005e+01,\n",
      +       "         3.84471929e+00, -8.02338322e+00, -6.75800332e+00,\n",
      +       "        -4.13123426e+00, -1.02110860e+01, -7.22521880e+00,\n",
      +       "        -7.27828618e-01,  4.02921758e+00,  2.94006188e+00,\n",
      +       "         1.24667027e+01,  1.64972337e+01, -1.12594091e+01,\n",
      +       "        -2.12991085e-02,  1.71632494e+00,  1.20322890e+01,\n",
      +       "         4.84764886e-01,  5.95859075e+00,  3.23976740e+00,\n",
      +       "         1.11113785e+00, -4.53084823e+00,  1.39429021e+00,\n",
      +       "         1.26380555e+01,  4.54722392e+00,  3.07262475e+00,\n",
      +       "        -5.86210865e-01, -1.09818894e+01, -1.61252019e+00,\n",
      +       "        -5.94980785e+00, -5.54131434e+00, -3.28441208e+00,\n",
      +       "         1.18910993e+01,  6.77631552e+00,  1.13473091e+01,\n",
      +       "         7.08267875e+00, -1.02715588e+00, -1.80082757e+01,\n",
      +       "         9.59705453e+00, -1.62729822e+00, -8.65404554e+00,\n",
      +       "        -1.25026166e+01,  3.98313252e+00,  1.33629863e+01,\n",
      +       "        -9.03376514e+00, -1.47613794e+01,  7.23904608e+00,\n",
      +       "         1.95768490e+01,  1.12730673e+01,  1.46046847e+01,\n",
      +       "        -9.67965068e-01, -5.35378765e+00,  3.40045666e+00,\n",
      +       "        -6.52919012e-01,  1.63837539e+00,  2.49987901e+00,\n",
      +       "        -8.00958450e+00, -3.58202157e+00, -9.96364183e+00,\n",
      +       "        -7.47665427e+00, -1.49486342e+01,  5.04445009e+00,\n",
      +       "         4.15035739e+00, -1.37922875e+00, -4.36546188e+00,\n",
      +       "        -6.88118845e+00, -8.06300357e+00,  1.81085877e+00,\n",
      +       "        -8.96849582e+00,  7.77682520e+00, -4.54402825e+00,\n",
      +       "        -2.21141469e+00, -1.12061845e+01,  1.42340035e+01,\n",
      +       "         6.08555614e+00,  4.54418895e-01,  3.77278864e-01,\n",
      +       "        -9.04929950e+00, -7.01517299e+00, -5.27320571e+00,\n",
      +       "         9.34602811e+00, -9.35155062e+00,  1.19572083e+01,\n",
      +       "        -5.69900597e+00, -5.50783082e+00, -1.70333775e+00,\n",
      +       "         5.51901907e+00, -5.71754609e+00, -7.53548957e+00,\n",
      +       "        -8.74152535e+00, -9.99594389e+00, -1.05926173e+00,\n",
      +       "        -8.09863640e-01, -3.03296266e+00, -1.88179315e+00]])
    • b1
      (chain, draw)
      float64
      4.085 -17.73 ... -2.563 -19.74
      array([[  4.08521923, -17.7283804 ,  -5.01291159,  10.05562578,\n",
      +       "         13.11703924,   2.31961284,   9.76099348, -16.75092078,\n",
      +       "          8.68077865,   9.092923  ,  -0.59272589,   3.80404231,\n",
      +       "          1.24807876, -13.06936681, -20.84785006,   3.60331966,\n",
      +       "          3.67363138,  -5.56324337,  -0.21495546,  -4.19936431,\n",
      +       "          1.03732376,  -8.18413003,  13.69168242,  -9.37032649,\n",
      +       "          6.81705587, -11.50539711,   7.10682242,   3.34578848,\n",
      +       "          0.42981324,  -1.54064771,   5.47211667,  -6.41812229,\n",
      +       "         -3.81685411, -18.3699812 ,  10.8439801 , -21.05781249,\n",
      +       "         -7.82064991,  -0.80217316,   7.51941423,   1.6494366 ,\n",
      +       "          4.7343559 ,  -3.87481735,   9.21247938,  -2.95937089,\n",
      +       "          1.79774941,  -7.2343954 ,   2.13104666,  10.06343813,\n",
      +       "         -0.11032296, -11.01178337,   1.68571468,   3.60388677,\n",
      +       "        -16.41120973,  20.03807525,   3.52492356,   4.08981528,\n",
      +       "        -11.3616451 ,  13.44624487,   1.12148633,  -4.5091139 ,\n",
      +       "         -0.68719973,   0.30018014,   4.20343435,   3.74567779,\n",
      +       "         -0.22113504,  -2.56720887,  14.89448404,  -9.39068291,\n",
      +       "         24.795126  ,   4.25264582, -13.09641407,   6.90609532,\n",
      +       "        -19.27620975,   1.88909713,   2.97355416,   1.01654263,\n",
      +       "         30.88937004,   8.41673597, -18.50397864,  12.33183485,\n",
      +       "          1.09100241,  -7.04005345,  -7.09986109, -33.30772202,\n",
      +       "          5.74829603, -21.21712326,  -7.87264181,   1.99168765,\n",
      +       "         22.13569481,  20.49895622,  11.90703641,  -1.67810305,\n",
      +       "         -1.70463366,  -9.2492367 ,  14.20020118, -14.85112461,\n",
      +       "          4.26447205,   5.50692387,   6.19467672,   5.3802285 ,\n",
      +       "        -18.49137051,   1.10313187,  -8.71635984,   3.01524952,\n",
      +       "          4.43578977, -12.35866995,  -2.28689088,   3.33724534,\n",
      +       "          4.20349618,  -3.0359313 ,   7.1572245 ,   4.58895711,\n",
      +       "         14.41703885,  -8.30318094,  -0.21634539,  10.16856931,\n",
      +       "          6.90518402,  -9.09799722,  12.51390061,   1.2345944 ,\n",
      +       "        -10.63868119,  -0.79166854,  30.70150585, -12.02412782,\n",
      +       "          5.8863601 ,  -7.30374385, -12.92782476,  -6.96012265,\n",
      +       "         -5.10971466,  -2.48900456,   7.54263139,  -4.90097518,\n",
      +       "         -1.01038706, -10.0312042 , -15.10664171,  -5.5683348 ,\n",
      +       "          2.96888111,  -6.19240747,  -4.45171412, -15.02724147,\n",
      +       "         22.66407212,   4.59965315,  -7.9097757 ,   1.93108624,\n",
      +       "        -17.02638762,   5.8759413 ,   1.47010989,   6.30015811,\n",
      +       "         -2.56284295, -19.73959226]])
    • log_sigma
      (chain, draw)
      float64
      3.251 1.23 1.591 ... 3.728 3.213
      array([[ 3.25090719,  1.22988994,  1.59093213,  4.02705788,  1.55081899,\n",
      +       "         0.62710411,  1.68833146,  1.22684082,  2.80791831,  4.10237848,\n",
      +       "        -0.54826179,  3.55173207,  2.98622573, -2.02064976,  3.27811914,\n",
      +       "         3.42280564,  2.19378779,  3.05025642,  1.53106234,  2.36406106,\n",
      +       "         3.70393001,  0.61044381,  0.952314  ,  2.32195839,  1.3319067 ,\n",
      +       "         2.44288095,  2.20457983,  2.86178018,  4.45003551,  3.07091099,\n",
      +       "         1.46598061,  4.26573077,  1.69925424,  2.85106049,  3.64466651,\n",
      +       "         3.77528015,  3.02281328,  3.42313808,  3.82936446,  4.16759081,\n",
      +       "         1.34169016, -1.04764486,  4.0666382 ,  2.29300011,  2.69740839,\n",
      +       "         3.25441894,  3.41749112,  3.59050338,  2.63389462,  2.4573385 ,\n",
      +       "         3.2674847 ,  3.21110145,  3.25806452,  2.29423384,  1.69959383,\n",
      +       "         2.98596428,  0.5794091 ,  4.06584602,  1.6584025 ,  0.98323405,\n",
      +       "         4.22910339,  1.82230593,  3.54573052,  3.70067234,  2.22294168,\n",
      +       "         3.77257649,  3.13299281,  1.34937726,  3.99362929,  2.33664813,\n",
      +       "         3.1732432 ,  1.47182576,  3.23115835,  2.41291663,  1.07704886,\n",
      +       "         3.72986028,  2.48214789,  3.53106412,  2.34654674,  3.4615005 ,\n",
      +       "         1.53428252,  3.32588335,  2.96655199,  4.25242607,  2.58835419,\n",
      +       "         4.08309705,  2.7491698 ,  1.15632476,  2.5786252 ,  2.9650199 ,\n",
      +       "         4.31531159,  2.45891143,  3.06429567,  3.0638666 ,  3.91636846,\n",
      +       "         3.2617087 ,  1.768346  ,  2.56034924,  2.5089421 ,  2.73934293,\n",
      +       "         3.15678594,  3.82925352,  2.89029107,  3.04231701,  1.2454007 ,\n",
      +       "         3.03737126,  2.05301401,  0.73408771,  3.09812066,  3.76236846,\n",
      +       "         3.63578938,  3.85821278,  2.64785818,  1.69992952,  4.36373166,\n",
      +       "         3.35789195,  3.12756201,  1.02113995,  2.74879204,  3.88214074,\n",
      +       "         2.00351015,  3.69507715,  2.90356462,  3.27979329,  3.00340561,\n",
      +       "         2.64104333,  3.72958752,  1.13295348,  2.69103732,  2.79951377,\n",
      +       "         2.43763922,  3.55109493,  1.21614685,  0.53075154,  1.5355105 ,\n",
      +       "         0.49831796,  2.78388824,  1.77052027,  0.61325449,  2.55772253,\n",
      +       "         1.58473414,  2.58663522,  2.98733611,  2.28487496,  1.00774906,\n",
      +       "         2.30493858, -0.52376677,  3.62525029,  3.72783727,  3.21340682]])
    • sigma
      (chain, draw)
      float64
      25.81 3.421 4.908 ... 41.59 24.86
      array([[25.81374736,  3.42085301,  4.90832198, 56.09562822,  4.71533041,\n",
      +       "         1.87218108,  5.41044561,  3.41043831, 16.57537743, 60.4839764 ,\n",
      +       "         0.57795354, 34.87366881, 19.81077008,  0.1325693 , 26.5258345 ,\n",
      +       "        30.65530226,  8.96912199, 21.12075952,  4.62308551, 10.63404938,\n",
      +       "        40.60657559,  1.84124838,  2.59169993, 10.19562176,  3.78825958,\n",
      +       "        11.50614167,  9.06644136, 17.49263926, 85.62998499, 21.56153616,\n",
      +       "         4.33178895, 71.21694447,  5.46986666, 17.30612503, 38.27000795,\n",
      +       "        43.60972396, 20.54902068, 30.66549487, 46.03327314, 64.5597278 ,\n",
      +       "         3.82550377,  0.35076287, 58.36043621,  9.90460811, 14.84121914,\n",
      +       "        25.90455819, 30.49281619, 36.25232016, 13.92790831, 11.67370062,\n",
      +       "        26.24524146, 24.80639426, 25.99916767,  9.91683519,  5.4717245 ,\n",
      +       "        19.80559125,  1.78498338, 58.31422285,  5.2509158 ,  2.67308718,\n",
      +       "        68.6556472 ,  6.18610677, 34.66499973, 40.47450765,  9.23445576,\n",
      +       "        43.49197743, 22.94253953,  3.85502412, 54.25142647, 10.34649822,\n",
      +       "        23.88482225,  4.35718307, 25.30895655, 11.16648217,  2.9360022 ,\n",
      +       "        41.67328498, 11.96694056, 34.16029886, 10.44942279, 31.86475387,\n",
      +       "         4.63799668, 27.82356563, 19.42482693, 70.27569968, 13.30785134,\n",
      +       "        59.32893047, 15.62965072,  3.17823102, 13.1790072 , 19.39508919,\n",
      +       "        74.83693837, 11.69207695, 21.41937047, 21.41018201, 50.21774554,\n",
      +       "        26.09408603,  5.861151  , 12.94033585, 12.2919196 , 15.47681248,\n",
      +       "        23.49496031, 46.02816616, 17.99854774, 20.95373704,  3.47432667,\n",
      +       "        20.85036087,  7.79134898,  2.0835803 , 22.15627303, 43.05026815,\n",
      +       "        37.9317837 , 47.38059615, 14.12375574,  5.47356161, 78.54970878,\n",
      +       "        28.72856564, 22.81828082,  2.77635786, 15.6237476 , 48.52798985,\n",
      +       "         7.41503836, 40.24867768, 18.23904492, 26.57027991, 20.15405707,\n",
      +       "        14.02783157, 41.66192003,  3.10481298, 14.74696536, 16.43665287,\n",
      +       "        11.44598736, 34.85145667,  3.37416149,  1.7002096 ,  4.64369553,\n",
      +       "         1.64595039, 16.18181761,  5.87390857,  1.84643082, 12.90638986,\n",
      +       "         4.87799433, 13.28499521, 19.83277963,  9.82445774,  2.73942779,\n",
      +       "        10.02356258,  0.59228534, 37.53411624, 41.58906478, 24.86364796]])
  • created_at :
    2019-11-17T21:01:35.147304
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 1, draw: 150)\n", + "Coordinates:\n", + " * chain (chain) int64 0\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 ... 142 143 144 145 146 147 148 149\n", + "Data variables:\n", + " b0 (chain, draw) float64 4.558 -5.178 3.137 ... -3.033 -1.882\n", + " b1 (chain, draw) float64 4.085 -17.73 -5.013 ... 6.3 -2.563 -19.74\n", + " log_sigma (chain, draw) float64 3.251 1.23 1.591 ... 3.625 3.728 3.213\n", + " sigma (chain, draw) float64 25.81 3.421 4.908 ... 37.53 41.59 24.86\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.147304\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.prior" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 1
    • draw: 150
    • chain
      (chain)
      int64
      0
      array([0])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 145 146 147 148 149
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149])
    • accept_stat
      (chain, draw)
      float64
      0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0
      array([[0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0.]])
    • lp
      (chain, draw)
      float64
      0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0
      array([[0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
      +       "        0., 0., 0., 0., 0., 0.]])
  • created_at :
    2019-11-17T21:01:35.149030
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 1, draw: 150)\n", + "Coordinates:\n", + " * chain (chain) int64 0\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 ... 143 144 145 146 147 148 149\n", + "Data variables:\n", + " accept_stat (chain, draw) float64 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0\n", + " lp (chain, draw) float64 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.149030\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.sample_stats_prior" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + "Show/Hide data repr\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Show/Hide attributes\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xarray.Dataset
    • chain: 1
    • developer: 5
    • draw: 150
    • chain
      (chain)
      int64
      0
      array([0])
    • draw
      (draw)
      int64
      0 1 2 3 4 5 ... 145 146 147 148 149
      array([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
      +       "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,\n",
      +       "        28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,\n",
      +       "        42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
      +       "        56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,\n",
      +       "        70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,\n",
      +       "        84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,\n",
      +       "        98,  99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,\n",
      +       "       112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,\n",
      +       "       126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
      +       "       140, 141, 142, 143, 144, 145, 146, 147, 148, 149])
    • developer
      (developer)
      object
      'Alice' 'Bob' ... 'Erika'
      array(['Alice', 'Bob', 'Cole', 'Danielle', 'Erika'], dtype=object)
    • slack_comments_hat
      (chain, draw, developer)
      float64
      24.71 37.22 19.9 ... -271.6 -375.8
      array([[[ 2.47099090e+01,  3.72196027e+01,  1.98955963e+01,\n",
      +       "          9.96723845e+01,  5.52879365e+01],\n",
      +       "        [-9.02165529e+01, -1.11546189e+02, -1.30516025e+02,\n",
      +       "         -2.11859229e+02, -3.29853810e+02],\n",
      +       "        [-1.63290082e+01, -3.53171233e+01, -3.31379458e+01,\n",
      +       "         -5.39072754e+01, -8.97946086e+01],\n",
      +       "        [ 5.49790501e+01,  7.93884775e+01,  1.68322764e+02,\n",
      +       "          1.68603821e+02,  1.62188134e+02],\n",
      +       "        [ 6.13615765e+01,  7.89724118e+01,  1.04275119e+02,\n",
      +       "          1.54931179e+02,  2.38389303e+02],\n",
      +       "        [ 1.92420669e+01,  1.93376493e+01,  2.55960459e+01,\n",
      +       "          3.43302934e+01,  4.97506345e+01],\n",
      +       "        [ 2.90838199e+01,  5.06958569e+01,  5.72903405e+01,\n",
      +       "          1.10286361e+02,  1.63788033e+02],\n",
      +       "        [-9.38006151e+01, -1.23829934e+02, -1.35675782e+02,\n",
      +       "         -2.20481113e+02, -3.19129850e+02],\n",
      +       "        [ 2.30182619e+01,  2.54285723e+01,  3.56750811e+01,\n",
      +       "          7.43446856e+01,  1.62696775e+02],\n",
      +       "        [ 1.14007017e+02, -1.75814239e+01, -1.44060442e+01,\n",
      +       "          1.06543378e+02,  3.05306023e+02],\n",
      +       "        [-6.06561500e+00, -7.55520450e+00, -8.44436325e+00,\n",
      +       "         -1.05709501e+01, -1.47485094e+01],\n",
      +       "        [ 3.19906235e+01,  1.07200096e+01,  5.22107042e+00,\n",
      +       "          5.45073199e+01,  3.63321938e+01],\n",
      +       "        [-1.92304561e+01, -1.03559189e+01,  1.00614196e+01,\n",
      +       "         -1.75873354e-01,  4.95954763e+01],\n",
      +       "        [-5.54323007e+01, -7.50697647e+01, -8.82055058e+01,\n",
      +       "         -1.53613668e+02, -2.31919330e+02],\n",
      +       "        [-8.93922783e+01, -1.34228214e+02, -1.29892541e+02,\n",
      +       "         -2.98200479e+02, -3.81523468e+02],\n",
      +       "        [ 2.58785177e+01,  1.02946344e+01,  3.49434008e+01,\n",
      +       "          3.16189340e+01,  9.03406403e+01],\n",
      +       "        [ 3.08345225e+01,  2.41264734e+01,  2.95386367e+01,\n",
      +       "          6.12261164e+01,  8.93836699e+01],\n",
      +       "        [-1.53015040e+01,  6.51144223e+00, -4.71419129e+01,\n",
      +       "         -2.99862951e+01, -1.18401018e+02],\n",
      +       "        [-3.36095216e+00,  6.27895784e+00,  3.66664647e+00,\n",
      +       "         -5.01547374e+00, -3.37510778e+00],\n",
      +       "        [ 9.08603988e+00, -2.02274759e+01, -1.22749487e+00,\n",
      +       "         -2.76358572e+01, -5.10761562e+01],\n",
      +       "        [ 3.40197916e+01,  7.89566349e+00, -3.24947361e+00,\n",
      +       "          5.17969804e+01,  3.23273617e+01],\n",
      +       "        [-4.95612471e+01, -6.05277236e+01, -7.00281455e+01,\n",
      +       "         -1.11477171e+02, -1.60832972e+02],\n",
      +       "        [ 7.29893237e+01,  9.17844569e+01,  1.07257132e+02,\n",
      +       "          1.74658023e+02,  2.61520109e+02],\n",
      +       "        [-3.47614899e+01, -5.95361730e+01, -5.89337647e+01,\n",
      +       "         -1.00491619e+02, -1.55374401e+02],\n",
      +       "        [ 2.86978640e+01,  4.08863122e+01,  4.29127265e+01,\n",
      +       "          7.86227483e+01,  1.21628177e+02],\n",
      +       "        [-5.65108891e+01, -4.04260458e+01, -7.17676221e+01,\n",
      +       "         -1.37299746e+02, -1.92560091e+02],\n",
      +       "        [ 6.01943379e+01,  6.92145719e+01,  6.27336997e+01,\n",
      +       "          8.18102652e+01,  1.58944374e+02],\n",
      +       "        [ 9.66736247e-01,  1.17596038e+01,  4.56715448e+01,\n",
      +       "          3.17309958e+01,  7.00035119e+01],\n",
      +       "        [ 1.02478888e+01, -8.89071640e+01,  8.23749375e+01,\n",
      +       "         -6.29882509e+01, -1.95226956e+02],\n",
      +       "        [-1.68125020e+01,  1.67001126e+01,  1.32058003e+01,\n",
      +       "         -2.56040768e+01, -2.26028125e+01],\n",
      +       "        [ 1.09281786e+01,  6.41625642e+00,  2.16734576e+01,\n",
      +       "          5.20771661e+01,  8.00010406e+01],\n",
      +       "        [-6.87483947e+01, -1.45529787e+02, -2.34674901e+01,\n",
      +       "         -7.85635830e+01, -1.60019859e+02],\n",
      +       "        [-3.44805360e+01, -4.64593973e+01, -5.41410598e+01,\n",
      +       "         -6.61926612e+01, -8.17428436e+01],\n",
      +       "        [-8.28628204e+01, -1.62392692e+02, -1.62348098e+02,\n",
      +       "         -2.14921939e+02, -3.45574679e+02],\n",
      +       "        [ 1.09112575e+01,  6.27905049e+01,  7.52262641e+01,\n",
      +       "          1.12853162e+02,  1.67503380e+02],\n",
      +       "        [-5.62418132e+01, -1.01971778e+02, -2.36615716e+02,\n",
      +       "         -2.50102149e+02, -3.77501037e+02],\n",
      +       "        [-4.21273912e+01, -7.10335704e+01, -6.32698652e+01,\n",
      +       "         -1.26723749e+02, -1.17465492e+02],\n",
      +       "        [-4.41471043e+01,  5.18234941e+00, -1.26488098e+01,\n",
      +       "          4.55228058e+00, -4.49445372e+01],\n",
      +       "        [ 2.60665462e+01, -3.48487728e+00,  1.14770930e+02,\n",
      +       "          8.02947368e+01,  5.88460657e+01],\n",
      +       "        [-7.89006045e+01, -8.23255153e+01,  2.29362737e+01,\n",
      +       "          4.40868780e+01, -1.01856471e+02],\n",
      +       "        [ 3.47891062e+01,  4.72166690e+01,  4.11315377e+01,\n",
      +       "          6.31230483e+01,  9.28798080e+01],\n",
      +       "        [-7.38869847e-01, -6.31851842e+00, -1.07317556e+01,\n",
      +       "         -2.93763012e+01, -5.23094251e+01],\n",
      +       "        [ 1.18106638e+02,  2.01240446e+01,  6.78089610e+01,\n",
      +       "          1.48380636e+02,  1.21196192e+02],\n",
      +       "        [-1.36021018e+01, -3.03178637e+01, -2.98590146e+01,\n",
      +       "         -5.70409377e+01, -5.95430894e+01],\n",
      +       "        [-3.95978958e+00, -7.03292807e+00, -2.94246976e+01,\n",
      +       "         -3.84076633e-01,  7.83573334e+00],\n",
      +       "        [ 3.34707841e+00, -4.11169146e+01, -4.25282963e+01,\n",
      +       "         -1.60774694e+02, -1.40547867e+02],\n",
      +       "        [ 2.14706683e+01,  4.53931508e+00,  2.58237143e+01,\n",
      +       "          1.93949054e+01,  2.77127090e+01],\n",
      +       "        [ 2.16437252e+01,  1.49160879e+02, -2.12279357e+01,\n",
      +       "          7.38175772e+01,  2.65749340e+02],\n",
      +       "        [-1.05640478e+01,  1.21439163e+00, -1.98815023e+01,\n",
      +       "          2.15086588e+00, -3.97687424e+00],\n",
      +       "        [-5.85563333e+01, -7.84558183e+01, -1.25791528e+02,\n",
      +       "         -1.51868326e+02, -2.08832188e+02],\n",
      +       "        [-1.20510157e+01, -1.48289946e+01, -2.84632116e+01,\n",
      +       "         -1.94081744e+01,  9.01985957e+00],\n",
      +       "        [ 3.86965856e+01,  5.39772061e+00,  5.00014960e+00,\n",
      +       "          5.45635579e+01,  5.61725642e+01],\n",
      +       "        [-8.30440242e+01, -6.78855503e+01, -1.37665173e+02,\n",
      +       "         -2.04800027e+02, -3.03853608e+02],\n",
      +       "        [ 9.87510349e+01,  1.32286165e+02,  1.68550989e+02,\n",
      +       "          2.42116901e+02,  3.73744590e+02],\n",
      +       "        [ 3.11943375e+01,  3.13929774e+01,  3.56198577e+01,\n",
      +       "          4.48436741e+01,  6.87556129e+01],\n",
      +       "        [ 2.30969704e+01,  3.68848033e+01,  2.68203508e+01,\n",
      +       "          7.59187902e+01,  6.61994075e+01],\n",
      +       "        [-6.68464342e+01, -8.13315300e+01, -9.72282702e+01,\n",
      +       "         -1.53442519e+02, -2.21205914e+02],\n",
      +       "        [ 1.75318685e+02,  1.34797334e+02,  5.18509703e+01,\n",
      +       "          1.65361099e+02,  1.92000076e+02],\n",
      +       "        [ 3.00582401e+00,  7.47697327e-01, -1.26341296e+00,\n",
      +       "          1.43341467e+01,  1.33138377e+01],\n",
      +       "        [-2.51849280e+01, -3.72031756e+01, -4.13121930e+01,\n",
      +       "         -6.92513976e+01, -8.64258322e+01],\n",
      +       "        [-7.38185728e+00, -2.01205438e+01, -3.40486810e+01,\n",
      +       "         -1.34195062e+01, -1.42954700e+02],\n",
      +       "        [-1.84540580e+00, -7.76826615e+00, -1.81904576e+00,\n",
      +       "         -8.88156766e+00, -1.53362240e+01],\n",
      +       "        [ 1.89959124e+01, -2.10500594e+01,  5.71377660e+00,\n",
      +       "          9.32053684e+01,  1.03666655e+02],\n",
      +       "        [-3.23644255e+01,  4.25093372e+01, -4.92237653e+00,\n",
      +       "          2.44946466e+01,  9.67974239e+01],\n",
      +       "        [ 8.79845932e+00,  1.01369524e+01,  4.85525006e+00,\n",
      +       "          1.20904595e+01,  1.38353563e+01],\n",
      +       "        [-5.51508046e+01,  3.97671383e+01,  1.35963271e+01,\n",
      +       "         -1.19601568e+01, -6.51650502e+01],\n",
      +       "        [ 9.18454918e+01,  1.29330912e+02,  1.28549523e+02,\n",
      +       "          2.29051361e+02,  3.03206330e+02],\n",
      +       "        [-3.12617147e+01, -4.32490418e+01, -4.95307536e+01,\n",
      +       "         -1.00175674e+02, -1.59604747e+02],\n",
      +       "        [ 7.90640587e+01,  1.02468403e+02,  1.35795561e+02,\n",
      +       "          2.75515948e+02,  4.43146092e+02],\n",
      +       "        [ 2.27046789e+01,  3.00273453e+01,  1.67353401e+01,\n",
      +       "          5.07762351e+01,  6.96825926e+01],\n",
      +       "        [-6.62042489e+01, -1.06467885e+02, -9.95414861e+01,\n",
      +       "         -1.59871807e+02, -2.63433906e+02],\n",
      +       "        [ 4.24909526e+01,  4.99966724e+01,  5.55841604e+01,\n",
      +       "          9.51439457e+01,  1.36264100e+02],\n",
      +       "        [-1.22266545e+02, -1.04191115e+02, -1.25148533e+02,\n",
      +       "         -2.17809865e+02, -3.66717537e+02],\n",
      +       "        [ 1.84796767e+01,  1.00704784e+01,  2.69012400e+01,\n",
      +       "          4.63031679e+01,  4.21935252e+01],\n",
      +       "        [ 1.76763763e+01,  2.24640089e+01,  2.74603787e+01,\n",
      +       "          3.64491515e+01,  5.90334925e+01],\n",
      +       "        [ 2.34025559e+01,  2.94771399e+01, -8.07667866e-02,\n",
      +       "         -4.82645624e+01,  9.36011651e+01],\n",
      +       "        [ 1.34591825e+02,  1.87706024e+02,  1.98189656e+02,\n",
      +       "          3.80585766e+02,  5.47987939e+02],\n",
      +       "        [ 9.91799064e+00,  8.86192069e+01,  4.31871359e+01,\n",
      +       "          8.50872669e+01,  2.17149148e+02],\n",
      +       "        [-6.72856982e+01, -1.12526478e+02, -1.00914145e+02,\n",
      +       "         -2.14148427e+02, -3.28952520e+02],\n",
      +       "        [ 5.23338433e+01,  1.45840422e+02,  1.10977505e+02,\n",
      +       "          1.73978148e+02,  2.15917019e+02],\n",
      +       "        [ 1.07450001e+01,  5.73651314e+00,  1.11373995e+00,\n",
      +       "          1.15348888e+01,  1.62440711e+01],\n",
      +       "        [-3.27420235e+01, -2.86719070e+01, -3.87147583e+01,\n",
      +       "         -1.25943571e+02, -1.01649219e+02],\n",
      +       "        [-4.77499222e+01, -6.64772678e+01, -5.54621468e+01,\n",
      +       "         -9.50474658e+01, -1.38698712e+02],\n",
      +       "        [-1.62842856e+02, -2.17768930e+02, -3.07158671e+02,\n",
      +       "         -2.89174948e+02, -7.75227836e+02],\n",
      +       "        [ 5.10012666e+01,  3.29265009e+01,  4.21681490e+01,\n",
      +       "          6.78382076e+01,  6.61494568e+01],\n",
      +       "        [-2.19584144e+02, -5.44055844e+01, -2.47777274e+02,\n",
      +       "         -2.40916700e+02, -3.10818585e+02],\n",
      +       "        [-3.92724149e+01, -6.99910647e+01, -7.75079613e+01,\n",
      +       "         -9.76356183e+01, -1.44998981e+02],\n",
      +       "        [ 2.05158680e+01,  1.98002819e+01,  2.53225897e+01,\n",
      +       "          4.00483008e+01,  4.20218047e+01],\n",
      +       "        [ 1.06912658e+02,  1.47993383e+02,  1.56538022e+02,\n",
      +       "          2.74438854e+02,  3.81477623e+02],\n",
      +       "        [ 1.26454715e+02,  1.16148285e+02,  1.60244254e+02,\n",
      +       "          2.71823359e+02,  3.91662006e+02],\n",
      +       "        [ 3.55360209e+01,  5.30489323e+01,  2.07148065e+01,\n",
      +       "          2.09922181e+02,  2.54498302e+02],\n",
      +       "        [-1.33446716e+00, -6.88787108e+00, -3.15817702e+00,\n",
      +       "         -1.61169672e+01, -1.33085881e+01],\n",
      +       "        [-4.91039717e+01, -5.08315628e+01, -6.89483634e+00,\n",
      +       "         -4.66149538e+01, -4.84898119e+01],\n",
      +       "        [-3.99667194e+01, -3.08199625e+01, -5.90674557e+01,\n",
      +       "         -8.48835186e+01, -1.53884628e+02],\n",
      +       "        [ 1.12083247e+02,  3.72704396e+01,  1.55911682e+02,\n",
      +       "          2.30545508e+02,  2.47830989e+02],\n",
      +       "        [-7.27819775e+01, -9.88373971e+01, -7.03954442e+01,\n",
      +       "         -2.03878135e+02, -2.69179126e+02],\n",
      +       "        [ 7.87960262e+00,  5.00855217e+00,  2.41841931e+01,\n",
      +       "          3.59183836e+01,  7.01076136e+01],\n",
      +       "        [ 3.12682738e+01,  4.62133785e+01,  5.39813530e+01,\n",
      +       "          8.21805078e+01,  1.24911085e+02],\n",
      +       "        [ 4.84494371e+01,  4.16464707e+01,  4.52086024e+01,\n",
      +       "          8.04829337e+01,  9.97484732e+01],\n",
      +       "        [ 6.84409956e+00,  6.08211790e+01,  2.94802177e+01,\n",
      +       "          7.55169655e+01,  8.03623995e+01],\n",
      +       "        [-1.38684445e+02, -1.32096103e+02, -1.64238149e+02,\n",
      +       "         -2.59850443e+02, -3.45676768e+02],\n",
      +       "        [ 5.42960537e+01,  2.19421460e+01,  2.67618121e+01,\n",
      +       "         -1.57946867e+00, -3.43126188e+01],\n",
      +       "        [-2.92322851e+01, -4.45731658e+01, -7.24712492e+01,\n",
      +       "         -6.79918812e+01, -1.34377842e+02],\n",
      +       "        [ 5.71973691e+00,  1.50819352e+01,  4.90653750e+00,\n",
      +       "          2.61349123e+01,  6.14887433e+01],\n",
      +       "        [ 3.33312948e+01,  4.03595561e+01,  4.90322502e+01,\n",
      +       "          6.49625716e+01,  9.07635699e+01],\n",
      +       "        [-8.18721070e+01, -8.28821410e+01, -4.72190847e+01,\n",
      +       "         -1.91635632e+02, -2.17729405e+02],\n",
      +       "        [-7.68655772e+00, -1.93338613e+01, -2.34144834e+01,\n",
      +       "         -2.18212342e+01, -3.74801592e+01],\n",
      +       "        [ 1.66200800e+01,  2.17359394e+01,  2.62398358e+01,\n",
      +       "          4.22015681e+01,  6.00887838e+01],\n",
      +       "        [ 2.13166708e+01,  7.09907268e+00,  1.63392158e+01,\n",
      +       "          4.98755643e+01,  3.80853237e+01],\n",
      +       "        [-4.44398230e+01,  4.87289127e+01, -3.51363713e+01,\n",
      +       "         -1.16628261e+02,  1.32002359e+00],\n",
      +       "        [ 6.44109266e+01,  5.62597482e+01, -1.20270279e+01,\n",
      +       "          6.31598185e+01,  9.05028981e+01],\n",
      +       "        [ 6.81696494e+01,  5.09380453e+01, -3.92298538e+01,\n",
      +       "          3.38806132e+01,  5.48021427e+01],\n",
      +       "        [ 4.10818319e+01,  7.08824827e+01,  8.99278216e+01,\n",
      +       "          1.81548986e+02,  2.68586089e+02],\n",
      +       "        [-3.89336771e+01, -6.76509593e+01, -6.57368861e+01,\n",
      +       "         -1.14950355e+02, -1.56068789e+02],\n",
      +       "        [ 7.86194692e+01, -1.64853527e+01,  5.90376469e+01,\n",
      +       "         -1.05581648e+02, -5.61567429e+01],\n",
      +       "        [ 6.52865470e+01,  4.45252614e+01,  3.03221810e+01,\n",
      +       "          1.16547428e+02,  1.41574016e+02],\n",
      +       "        [ 3.20837926e+01,  5.73827135e+01,  5.61300991e+01,\n",
      +       "          1.53507502e+02,  1.59120251e+02],\n",
      +       "        [-3.71588245e+01, -5.12839596e+01, -5.96343000e+01,\n",
      +       "         -1.03571249e+02, -1.63773806e+02],\n",
      +       "        [ 5.97019462e+01,  6.07911963e+01,  5.95265091e+01,\n",
      +       "          1.53423782e+02,  2.34366690e+02],\n",
      +       "        [ 7.13613499e+01, -6.94115911e+00, -1.09831703e+02,\n",
      +       "         -1.20409238e+01,  3.16483023e+01],\n",
      +       "        [-6.46734204e+01, -7.55436261e+01, -8.43677703e+01,\n",
      +       "         -1.27442857e+02, -2.04008448e+02],\n",
      +       "        [ 1.49891456e+00, -5.61690700e+01, -1.32168927e+01,\n",
      +       "         -4.34715350e+01, -7.19739174e+01],\n",
      +       "        [ 1.40338006e+02,  1.98877565e+02,  2.16044245e+02,\n",
      +       "          3.60456115e+02,  5.58975722e+02],\n",
      +       "        [-5.69074433e+01, -2.79942251e+01, -1.00872738e+02,\n",
      +       "         -1.57504905e+02, -2.37124686e+02],\n",
      +       "        [ 4.86207659e+01,  4.30873266e+01,  7.73153571e+01,\n",
      +       "          6.51312228e+01,  8.68128051e+01],\n",
      +       "        [-3.89621674e+01, -4.69914832e+01, -6.39091132e+01,\n",
      +       "         -7.52622544e+01, -1.45893499e+02],\n",
      +       "        [-1.20989523e+01,  1.02582163e+01, -8.90367815e+01,\n",
      +       "         -1.89991276e+02, -1.92642926e+02],\n",
      +       "        [-4.42625000e+01, -5.67235773e+01, -6.45934858e+01,\n",
      +       "         -9.91015945e+01, -1.31733144e+02],\n",
      +       "        [-3.60358615e+00, -1.64689100e+01, -5.42383798e+00,\n",
      +       "         -5.08112723e+01, -9.05112873e+01],\n",
      +       "        [ 1.59074990e+01, -3.26163810e+01,  2.87994583e+00,\n",
      +       "         -3.09627847e+00, -4.69176988e+01],\n",
      +       "        [ 3.77663129e+01,  2.94840185e+01,  3.44075184e+01,\n",
      +       "          1.00934193e+02,  1.35875677e+02],\n",
      +       "        [-5.64818677e+01, -4.16044046e+01, -1.01441579e+02,\n",
      +       "         -1.06359218e+02, -1.39501172e+02],\n",
      +       "        [-1.65680613e+01, -1.78592339e+01, -1.84808943e+01,\n",
      +       "         -2.32729002e+01, -2.59839139e+01],\n",
      +       "        [-5.22212375e+01, -6.59961106e+01, -7.73929768e+01,\n",
      +       "         -1.28275601e+02, -1.86854319e+02],\n",
      +       "        [-7.17344678e+01, -9.99809756e+01, -1.04874353e+02,\n",
      +       "         -1.90163707e+02, -2.83249936e+02],\n",
      +       "        [-1.55546111e+01, -2.13441735e+01, -2.94371545e+01,\n",
      +       "         -5.50563561e+01, -8.72986393e+01],\n",
      +       "        [ 4.41248395e+00,  2.33205067e+01,  4.00236609e+00,\n",
      +       "          2.70208576e+01,  6.18203454e+01],\n",
      +       "        [-2.09614341e+01, -2.84629951e+01, -3.45738705e+01,\n",
      +       "         -5.83078619e+01, -1.04181598e+02],\n",
      +       "        [-2.65678235e+01, -3.24370398e+01, -3.66815831e+01,\n",
      +       "         -5.94306283e+01, -8.63631636e+01],\n",
      +       "        [-7.41398456e+01, -1.06163732e+02, -1.18321318e+02,\n",
      +       "         -1.94030576e+02, -2.83144241e+02],\n",
      +       "        [ 8.74057107e+01,  1.29899518e+02,  1.53492626e+02,\n",
      +       "          2.75884490e+02,  4.01918573e+02],\n",
      +       "        [ 5.27995273e+01,  2.71217369e+01,  3.60595731e+01,\n",
      +       "          5.02679325e+01,  8.63874417e+01],\n",
      +       "        [-6.47997761e+01, -7.98197148e+01, -3.96632568e+01,\n",
      +       "         -1.05109653e+02, -1.26107980e+02],\n",
      +       "        [ 1.32909385e+01,  9.06668920e+00,  9.02241605e+00,\n",
      +       "          1.27641094e+01,  4.36044508e+01],\n",
      +       "        [-8.13076505e+01, -1.09539252e+02, -1.29169813e+02,\n",
      +       "         -2.10515278e+02, -3.13199753e+02],\n",
      +       "        [ 1.18545765e+01,  3.62743314e+01,  3.97839130e+01,\n",
      +       "          5.06126044e+01,  9.46116759e+01],\n",
      +       "        [ 7.06131407e+00,  7.01681220e+00,  9.32704039e+00,\n",
      +       "          1.58009188e+01,  2.52983851e+01],\n",
      +       "        [ 4.05176602e+00,  8.88804244e+00,  4.39344018e+01,\n",
      +       "          5.58795860e+01,  1.40879001e+02],\n",
      +       "        [ 1.14764218e+01,  2.24272674e+00,  1.81078416e+01,\n",
      +       "          8.56098573e-01, -7.17069293e+01],\n",
      +       "        [-1.13021082e+02, -7.90197864e+01, -1.69875994e+02,\n",
      +       "         -2.71588407e+02, -3.75777174e+02]]])
  • created_at :
    2019-11-17T21:01:35.150833
    inference_library :
    pystan
    inference_library_version :
    2.19.1.1
" + ], + "text/plain": [ + "\n", + "Dimensions: (chain: 1, developer: 5, draw: 150)\n", + "Coordinates:\n", + " * chain (chain) int64 0\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 144 145 146 147 148 149\n", + " * developer (developer) object 'Alice' 'Bob' ... 'Danielle' 'Erika'\n", + "Data variables:\n", + " slack_comments_hat (chain, draw, developer) float64 24.71 37.22 ... -375.8\n", + "Attributes:\n", + " created_at: 2019-11-17T21:01:35.150833\n", + " inference_library: pystan\n", + " inference_library_version: 2.19.1.1" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idata_stan.prior_predictive" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.8" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/schema/linear_regression_data.csv b/doc/schema/linear_regression_data.csv new file mode 100644 index 0000000000..daf8b70138 --- /dev/null +++ b/doc/schema/linear_regression_data.csv @@ -0,0 +1,6 @@ +,comments,time +Alice,7500,4.5 +Bob,10100,6.0 +Cole,18600,7.0 +Danielle,25200,12.0 +Erika,27500,18.0 diff --git a/doc/schema/schema.md b/doc/schema/schema.md new file mode 100644 index 0000000000..5f92de8d39 --- /dev/null +++ b/doc/schema/schema.md @@ -0,0 +1,79 @@ +# InferenceData schema specification +The `InferenceData` schema scheme defines a data structure compatible with [NetCDF](https://www.unidata.ucar.edu/software/netcdf/) having 3 goals in mind: usefulness in the analysis of Bayesian inference results, reproducibility of Bayesian inference analysis and interoperability between different inference backends and programming languages. + +Currently there are 2 beta implementations of this design: +* [ArviZ](https://arviz-devs.github.io/arviz/) in Python which integrates with: + - [emcee](https://emcee.readthedocs.io/en/stable/) + - [PyMC3](https://docs.pymc.io) + - [Pyro](https://pyro.ai/) and [NumPyro](https://pyro.ai/numpyro/) + - [PyStan](https://pystan.readthedocs.io/en/latest/index.html), [CmdStan](https://mc-stan.org/users/interfaces/cmdstan) and [CmdStanPy](https://cmdstanpy.readthedocs.io/en/latest/index.html) + - [TensorFlow Probability](https://www.tensorflow.org/probability) +* [ArviZ.jl](https://github.com/arviz-devs/ArviZ.jl) in Julia which integrates with: + - [CmdStan.jl](https://github.com/StanJulia/CmdStan.jl), [StanSample.jl](https://github.com/StanJulia/StanSample.jl) and [Stan.jl](https://github.com/StanJulia/Stan.jl) + - [Turing.jl](https://turing.ml/dev/) and indirectly any package using [MCMCChains.jl](https://github.com/TuringLang/MCMCChains.jl) to store results + +## Current design +`InferenceData` stores all quantities relevant to fulfilling its goals in different groups. Each group, described below, stores a conceptually different quantity. In general, each quantity will be represented by several multidimensional labeled variables. + +Each group should have one entry per variable and each variable should be named. When relevant, the first two dimensions of each variable should be the sample identifier (`chain`, `draw`). For groups like `observed_data` or `constant_data` these two initial dimensions are omitted. Dimensions must be named and specify their index values, called coordinates. Coordinates can have repeated identifiers and may not be numerical. Variables must not share names with dimensions. + +Moreover, each group contains the following attributes: +* `created_at`: the date of creation of the group. +* `inference_library`: the library used to run the inference. +* `inference_library_version`: version of the inference library used. + +`InferenceData` data objects contain any combination the groups described below. There are some relations (detailed below) between the variables and dimensions of different groups. Hence, whenever related groups are present they should comply with this relations. + +### `posterior` +Samples from the posterior distribution p(theta|y). + +### `sample_stats` +Information and diagnostics for each `posterior` sample, provided by the inference backend. It may vary depending on the algorithm used by the backend (i.e. an affine invariant sampler has no energy associated). The name convention used for `sample_stats` variables is the following: +* `lp`: (unnormalized) log probability for sample +* `step_size` +* `step_size_bar` +* `tune`: boolean variable indicating if the sampler is tuning or sampling +* `depth`: +* `tree_size`: +* `mean_tree_accept`: +* `diverging`: HMC-NUTS only, boolean variable indicating divergent transitions +* `energy`: HMC-NUTS only +* `energy_error` +* `max_energy_error` + +### `posterior_predictive` +Posterior predictive samples p(y|y) corresponding to the posterior predictive distribution evaluated at the `observed_data`. Samples should match with `posterior` ones and each variable should have a counterpart in `observed_data`. The `observed_data` counterpart variable may have a different name. + +### `observed_data` +Observed data on which the `posterior` is conditional. It should only contain data which is modeled as a random variable. Each variable should have a counterpart in `posterior_predictive`, however, the `posterior_predictive` counterpart variable may have a different name. + +### `constant_data` +Model constants, data included in the model which is not modeled as a random variable. It should be the data used to generate the `posterior` and `posterior_predictive` samples. + +### `prior` +Samples from the prior distribution p(theta). Samples need not match `posterior` samples. However, this group will still follow the convention on `chain` and `draw` as first dimensions. Each variable should have a counterpart in `posterior`. + +### `sample_stats_prior` +Information and diagnostics for each `prior` sample, provided by the inference backend. It may vary depending on the algorithm used by the backend. Variable names follow the same convention defined in [`sample_stats`](#sample_stats). + +### `prior_predictive` +Samples from the prior predictive distribution. Samples should match `prior` samples and each variable should have a counterpart in `posterior_predictive`/`observed_data`. + +## Planned features +The `InferenceData` structure is still evolving, with some feature being currently developed. This section aims to describe the roadmap of the specification. + +### Sampler parameters +Parameters of the sampling algorithm and sampling backend to be used for analysis reproducibility. + +### Out of sample `posterior_predictive` samples +#### `predictions` +Out of sample posterior predictive samples p(y'|y). Sample should match `posterior` samples. Its variables should have a counterpart in `posterior_predictive`. However, variables in `predictions` and their counterpart in `posterior_predictive` may not share coordinates. + +#### `predictions_constant_data` +Model constants used to get the `predictions` samples. Its variables should have a counterpart in `constant_data`. However, variables in `predictions_constant_data` and their counterpart in `constant_data` may not share coordinates. + +## Examples +In order to clarify the definitions above, an example of `InferenceData` generation for a 1D linear regression is available in several programming languages and probabilistic programming frameworks. This particular inference task has been chosen because it is widely well known while still being useful and it also allows to populate all the fields in the `InferenceData` object. +* Python + - [PyMC3 example](PyMC3_schema_example.ipynb) + - [PyStan example](PyStan_schema_example.ipynb) diff --git a/doc/schema/schema.rst b/doc/schema/schema.rst new file mode 100644 index 0000000000..0c2db80dfe --- /dev/null +++ b/doc/schema/schema.rst @@ -0,0 +1 @@ +.. mdinclude:: schema.md diff --git a/requirements-dev.txt b/requirements-dev.txt index c4cddbe007..9ef974020c 100644 --- a/requirements-dev.txt +++ b/requirements-dev.txt @@ -13,9 +13,10 @@ tensorflow tensorflow-probability pytest pytest-cov -Sphinx +Sphinx>=1.8.3 sphinx-bootstrap-theme sphinx-gallery +m2r black; python_version == '3.6' numba numpyro>=0.2.1 diff --git a/schema.md b/schema.md deleted file mode 100644 index da83289122..0000000000 --- a/schema.md +++ /dev/null @@ -1,82 +0,0 @@ -# Design for netcdf storage format for mcmc traces - -/ -All data relating to a mcmc run. - -attrs: -backend: "stan" or "pymc3" -version: str -model_name?: str -comment?: str -model_version?: str -timestamp: int -author?: str - -/coords -For each dimension, we store a corresponding variable here, that contains the labels for that dimension. - -/model -Each backend can store a representation of the model in here. (I guess -source code for stan, no clue for pymc3 at this point.) - -/sample_stats -Statistics computed while sampling, like step size (step_size), depth, diverging, energy (for HMC), log probability (lp), and log likelihood (log_likelihood). - -/initial_point - One point in parameter space for each chain, where that chain started. - TODO We could also store that as an attribute to each var in /trace - -/tuning_trace? - Same as /trace, but optional. It contains the trace during tuning. Optional. (only if store_tune=True or so?) - -/tuning_advi? - Some data about an initialization advi run? History of convergence stats, final sd and mu params? Optional - -/divergences - Points in parameter space where the leapfrog starts that lead to a divergence (excluding tuning). - Does stan have access to that info? We could also just store the accepted point of a divergent trajectory. - -/observed_data - All data that is used in observed variables (or the data (or transformed?) data sections in stan.) - -/warnings - A list of warnings during sampling. Eg low effective_n, divergences.... - TODO Not sure about the format. Can we somehow share at least part of that between stan/pymc? - They mostly produce the same warnings I think. - -/prior? -Samples from the prior distribution. Same shapes as in trace. (except for (sample, chain)) - -/prior_predictive? -Samples from the prior predictive distribution. Same vars as in /data - -/posterior_predictive? -Samples from the posterior predicitve distribution. Same vars as in /data - -/trace -TODO We could call this /posterior - - attrs: - The final parameters for the sampler. ie the final mass matrix and step size. - - /trace//var1 - One entry for each variable. The first two dimensions should always be - `(chain, sample)`. I guess the decision whether or not we want to expose a stacked version `draw=('chain', 'sample')` - is up to arviz. - - Variable names must not share names with coordinate names. - - attrs: - is_free: Whether or not the variable is a free variable for the sampler, or a transformed one - domain: One of (“reals”, “pos-reals”, “integers”, “sym-pos-def”, "interval"...) - TODO For stuff like sym-pos-def we need to know along which dims it is a matrix. - TODO This data could also be stored in /model - sym_pos_axis: [dim_idx1, dim_idx2] - interval_lower: - interval_upper - TODO How would this deal with cases where the lower and upper bounds depend on the index? - - - -TODO: In order to reproduce the run, it may make sense to also store some data on the random state (in numpy, this is a tuple of arrays), as -well as some version info. Hopefully just `PyMC3, (3, 4, 1)` or similar works.