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state_space_diagnostics.ipynb
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state_space_diagnostics.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## State space diagnostics\n",
"\n",
"It is important to run post-estimation diagnostics on all types of models. In state space models, if the model is correctly specified, the standardized one-step ahead forecast errors should be independent and identically Normally distributed. Thus, one way to assess whether or not the model adequately describes the data is to compute the standardized residuals and apply diagnostic tests to check that they meet these distributional assumptions.\n",
"\n",
"Although there are many available tests, Durbin and Koopman (2012) and Harvey (1990) suggest three basic tests as a starting point:\n",
"\n",
"- **Normality**: the [Jarque–Bera test](https://en.wikipedia.org/wiki/Jarque%E2%80%93Bera_test)\n",
"- **Heterskedasticity**: a test similar to the [Goldfeld-Quandt test](https://en.wikipedia.org/wiki/Goldfeld%E2%80%93Quandt_test)\n",
"- **Serial correlation**: the [Ljung-Box test](https://en.wikipedia.org/wiki/Ljung%E2%80%93Box_test)\n",
"\n",
"These have been added to Statsmodels in [this pull request (2431)](https://github.com/statsmodels/statsmodels/pull/2431), and their results are added as an additional table at the bottom of the `summary` output (see the table below for an example).\n",
"\n",
"Furthermore, graphical tools can be useful in assessing these assumptions. Durbin and Koopman (2012) suggest the following four plots as a starting point:\n",
"\n",
"1. A time-series plot of the standardized residuals themselves\n",
"2. A histogram and kernel-density of the standardized residuals, with a reference plot of the Normal(0,1) density\n",
"3. A [Q-Q plot](https://en.wikipedia.org/wiki/Q%E2%80%93Q_plot) against Normal quantiles\n",
"4. A [correlogram](https://en.wikipedia.org/wiki/Correlogram)\n",
"\n",
"To that end, I have also added a `plot_diagnostics` method which creates those following four plots."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import statsmodels.api as sm\n",
"import seaborn as sn"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from pandas_datareader.data import DataReader\n",
"lgdp = np.log(DataReader('GDPC1', 'fred', start='1984-01', end='2005-01'))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Statespace Model Results \n",
"=========================================================================================\n",
"Dep. Variable: GDPC1 No. Observations: 85\n",
"Model: SARIMAX(2, 1, 0)x(3, 1, 0, 3) Log Likelihood 310.194\n",
"Date: Sun, 22 Jan 2017 AIC -608.389\n",
"Time: 14:23:06 BIC -593.733\n",
"Sample: 01-01-1984 HQIC -602.494\n",
" - 01-01-2005 \n",
"Covariance Type: opg \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"ar.L1 0.1672 0.111 1.507 0.132 -0.050 0.385\n",
"ar.L2 0.3217 0.115 2.808 0.005 0.097 0.546\n",
"ar.S.L3 -0.8389 0.128 -6.551 0.000 -1.090 -0.588\n",
"ar.S.L6 -0.4778 0.186 -2.564 0.010 -0.843 -0.112\n",
"ar.S.L9 -0.0558 0.120 -0.463 0.643 -0.292 0.180\n",
"sigma2 2.681e-05 5.16e-06 5.193 0.000 1.67e-05 3.69e-05\n",
"===================================================================================\n",
"Ljung-Box (Q): 32.74 Jarque-Bera (JB): 1.05\n",
"Prob(Q): 0.79 Prob(JB): 0.59\n",
"Heteroskedasticity (H): 1.09 Skew: -0.23\n",
"Prob(H) (two-sided): 0.82 Kurtosis: 2.70\n",
"===================================================================================\n",
"\n",
"Warnings:\n",
"[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
]
},
{
"data": {
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knYo7dz+ln36MISmZzL9e36qGbB3BpqRhrE8cRoangsmlm7rUFsmhjXQYJO1G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xjJaqHt9/4A99XXljssgWBGMDU00v5Hf4ptzVr8+/Zi+ucf8cnqrYyER/mHPf/KWGS83CEuCETC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\nKFETalO4yQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f72a610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mod = sm.tsa.SARIMAX(lgdp, order=(2,1,0), seasonal_order=(3,1,0,3))\n",
"res = mod.fit()\n",
"print res.summary()\n",
"\n",
"fig = res.plot_diagnostics(figsize=(11,6))\n",
"fig.tight_layout()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}