diff --git a/doc/api/api.rst b/doc/api/api.rst
index 94f62e9d..3f8ef02b 100644
--- a/doc/api/api.rst
+++ b/doc/api/api.rst
@@ -68,6 +68,7 @@ Dataset generators
    datasets.make_did_SZ2020
    datasets.make_confounded_plr_data
    datasets.make_confounded_irm_data
+   datasets.make_heterogeneous_data
 
 Score mixin classes for double machine learning models
 ------------------------------------------------------
diff --git a/doc/examples/index.rst b/doc/examples/index.rst
index 23bc059b..a59cb919 100644
--- a/doc/examples/index.rst
+++ b/doc/examples/index.rst
@@ -6,39 +6,52 @@
 Examples
 ==========
 
-R: Case studies
----------------
-
-These are case studies with the R package :ref:`DoubleML <doubleml_package>`.
-
-.. nbgallery::
-    :name: case-studies-r
-
-    R_double_ml_pension.ipynb
-    r_double_ml_multiway_cluster.ipynb
-    r_doubleml_basic_iv.ipynb
-
 Python: Case studies
 ---------------------
 
 These are case studies with the Python package :ref:`DoubleML <doubleml_package>`.
 
+General Examples
+++++++++++++++
+
 .. nbgallery::
     :name: case-studies-py
 
     py_double_ml_pension.ipynb
+    py_double_ml_sensitivity.ipynb
+    py_double_ml_learner.ipynb
     py_double_ml_multiway_cluster.ipynb
-    py_double_ml_gate.ipynb
-    py_double_ml_cate.ipynb
     py_double_ml_did.ipynb
     py_double_ml_did_pretest.ipynb
+    py_doubleml_basic_iv.ipynb
+
+
+Effect Heterogeneity
+++++++++++++++++++++
+
+.. nbgallery::
+    :name: case-studies-py-heterogeneity
+
+    py_double_ml_gate.ipynb
+    py_double_ml_gate_plr.ipynb
+    py_double_ml_cate.ipynb
+    py_double_ml_cate_plr.ipynb
     py_double_ml_pension_qte.ipynb
     py_double_ml_pq.ipynb
     py_double_ml_cvar.ipynb
-    py_double_ml_learner.ipynb
-    py_double_ml_sensitivity.ipynb
     py_double_ml_policy_tree.ipynb
-    py_doubleml_basic_iv.ipynb
+
+R: Case studies
+---------------
+
+These are case studies with the R package :ref:`DoubleML <doubleml_package>`.
+
+.. nbgallery::
+    :name: case-studies-r
+
+    R_double_ml_pension.ipynb
+    r_double_ml_multiway_cluster.ipynb
+    r_doubleml_basic_iv.ipynb
 
 Sandbox
 ----------
diff --git a/doc/examples/py_double_ml_cate.ipynb b/doc/examples/py_double_ml_cate.ipynb
index 9dc09342..8dab1eb2 100644
--- a/doc/examples/py_double_ml_cate.ipynb
+++ b/doc/examples/py_double_ml_cate.ipynb
@@ -7,178 +7,136 @@
     "collapsed": false
    },
    "source": [
-    "# Python: Conditional Average Treatment Effects (CATEs)\n",
+    "# Python: Conditional Average Treatment Effects (CATEs) for IRM models\n",
     "\n",
-    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate conditional average treatment effects with B-splines for one or two-dimensional effects."
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
-   "source": [
-    "## Data\n",
-    "\n",
-    "We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html) and this [notebook](https://github.com/py-why/EconML/blob/main/notebooks/Causal%20Forest%20and%20Orthogonal%20Random%20Forest%20Examples.ipynb) from [EconML](https://github.com/py-why/EconML)."
+    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate conditional average treatment effects with B-splines for one or two-dimensional effects in the [DoubleMLIRM](https://docs.doubleml.org/stable/guide/models.html#interactive-regression-model-irm) model."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": true
-   },
+   "execution_count": 12,
+   "metadata": {},
    "outputs": [],
    "source": [
     "import numpy as np\n",
     "import pandas as pd\n",
-    "import doubleml as dml"
+    "import doubleml as dml\n",
+    "\n",
+    "from doubleml.datasets import make_heterogeneous_data"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "The data is generated as\n",
-    "\n",
-    "$$\n",
-    "\\begin{aligned}\n",
-    "Y_i & = g(X_i)T_i + \\langle W_i,\\gamma_0\\rangle + \\epsilon_i \\\\\n",
-    "T_i & = \\langle W_i,\\beta_0\\rangle +\\eta_i,\n",
-    "\\end{aligned}\n",
-    "$$\n",
-    "\n",
-    "where $W_i\\sim\\mathcal{N}(0,I_{d_w})$, $X_i\\sim\\mathcal{U}[0,1]^{d_x}$ and $\\epsilon_i,\\eta_i\\sim\\mathcal{U}[0,1]$.\n",
-    "The coefficient vectors $\\gamma_0$ and $\\beta_0$ both have small random support which values are drawn independently from $\\mathcal{U}[0,1]$.\n",
-    "Further, $g(x)$ defines the conditional treatment effect, which is defined differently depending on the dimension of $x$.\n",
-    "\n",
-    "If $x$ is univariate the conditional treatment effect takes the following form\n",
-    "\n",
-    "$$ g(x) = \\exp(2x) + 3\\sin(4x),$$\n",
+    "## Data\n",
     "\n",
-    "whereas for a two-dimensional variable $x=(x_1,x_2)$ the conditional treatment effect is defined as\n",
+    "We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
     "\n",
-    "$$ g(x) = \\exp(2x_1) + 3\\sin(4x_2).$$"
+    "The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/api.html#dataset-generators)."
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "cell_type": "markdown",
+   "metadata": {},
    "source": [
-    "def treatment_effect_1d(x):\n",
-    "    te = np.exp(2 * x) + 3 * np.sin(4 * x)\n",
-    "    return te\n",
-    "\n",
-    "def treatment_effect_2d(x):\n",
-    "    te = np.exp(2 * x[0]) + 3 * np.sin(4 * x[1])\n",
-    "    return te\n",
-    "\n",
-    "def create_synthetic_data(n_samples=200, n_w=30, support_size=5, n_x=1):\n",
-    "    # Outcome support\n",
-    "    # With the next two lines we are effectively choosing the matrix gamma in the example\n",
-    "    support_y = np.random.choice(np.arange(n_w), size=support_size, replace=False)\n",
-    "    coefs_y = np.random.uniform(0, 1, size=support_size)\n",
-    "    # Define the function to generate the noise\n",
-    "    epsilon_sample = lambda n: np.random.uniform(-1, 1, size=n_samples)\n",
-    "    # Treatment support\n",
-    "    # Assuming the matrices gamma and beta have the same non-zero components\n",
-    "    support_t = support_y\n",
-    "    coefs_t = np.random.uniform(0, 1, size=support_size)\n",
-    "    # Define the function to generate the noise\n",
-    "    eta_sample = lambda n: np.random.uniform(-1, 1, size=n_samples)\n",
-    "\n",
-    "    # Generate controls, covariates, treatments and outcomes\n",
-    "    w = np.random.normal(0, 1, size=(n_samples, n_w))\n",
-    "    x = np.random.uniform(0, 1, size=(n_samples, n_x))\n",
-    "    # Heterogeneous treatment effects\n",
-    "    if n_x == 1:\n",
-    "        te = np.array([treatment_effect_1d(x_i) for x_i in x]).reshape(-1)\n",
-    "    elif n_x == 2:\n",
-    "        te = np.array([treatment_effect_2d(x_i) for x_i in x]).reshape(-1)\n",
-    "    # Define treatment\n",
-    "    log_odds = np.dot(w[:, support_t], coefs_t) + eta_sample(n_samples)\n",
-    "    t_sigmoid = 1 / (1 + np.exp(-log_odds))\n",
-    "    t = np.array([np.random.binomial(1, p) for p in t_sigmoid])\n",
-    "    # Define the outcome\n",
-    "    y = te * t + np.dot(w[:, support_y], coefs_y) + epsilon_sample(n_samples)\n",
-    "\n",
-    "    # Now we build the dataset\n",
-    "    y_df = pd.DataFrame({'y': y})\n",
-    "    if n_x == 1:\n",
-    "        x_df = pd.DataFrame({'x': x.reshape(-1)})\n",
-    "    elif n_x == 2:\n",
-    "        x_df = pd.DataFrame({'x_0': x[:,0],\n",
-    "                             'x_1': x[:,1]})\n",
-    "    t_df = pd.DataFrame({'t': t})\n",
-    "    w_df = pd.DataFrame(data=w, index=np.arange(w.shape[0]), columns=[f'w_{i}' for i in range(w.shape[1])])\n",
+    "## One-dimensional Example\n",
     "\n",
-    "    data = pd.concat([y_df, x_df, t_df, w_df], axis=1)\n",
+    "We start with an one-dimensional effect and create our training data. In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
     "\n",
-    "    covariates = list(w_df.columns.values) + list(x_df.columns.values)\n",
-    "    return data, covariates, te"
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",
+    "$$"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "## One-dimensional Example\n",
-    "\n",
-    "We start with $X$ being one-dimensional and create our training data."
+    "The generated dictionary also contains a callable with key `treatment_effect` to calculate the true treatment effect for new observations."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y    d       X_0       X_1       X_2       X_3       X_4       X_5  \\\n",
+      "0  4.803300  1.0  0.259828  0.886086  0.895690  0.297287  0.229994  0.411304   \n",
+      "1  5.655547  1.0  0.824350  0.396992  0.156317  0.737951  0.360475  0.671271   \n",
+      "2  1.878402  0.0  0.988421  0.977280  0.793818  0.659423  0.577807  0.866102   \n",
+      "3  6.941440  1.0  0.427486  0.330285  0.564232  0.850575  0.201528  0.934433   \n",
+      "4  1.703049  1.0  0.016200  0.818380  0.040139  0.889913  0.991963  0.294067   \n",
+      "\n",
+      "        X_6       X_7       X_8       X_9  \n",
+      "0  0.240532  0.672384  0.826065  0.673092  \n",
+      "1  0.270644  0.081230  0.992582  0.156202  \n",
+      "2  0.289440  0.467681  0.619390  0.411190  \n",
+      "3  0.689088  0.823273  0.556191  0.779517  \n",
+      "4  0.210319  0.765363  0.253026  0.865562  \n"
+     ]
+    }
+   ],
    "source": [
-    "# DGP constants\n",
     "np.random.seed(42)\n",
-    "n_samples = 2000\n",
-    "n_w = 10\n",
-    "support_size = 5\n",
-    "n_x = 1\n",
-    "\n",
-    "# Create data\n",
-    "data, covariates, true_effect = create_synthetic_data(n_samples=n_samples, n_w=n_w, support_size=support_size, n_x=n_x)\n",
-    "data_dml_base = dml.DoubleMLData(data,\n",
-    "                                 y_col='y',\n",
-    "                                 d_cols='t',\n",
-    "                                 x_cols=covariates)"
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=2000,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=1,\n",
+    "    binary_treatment=True,\n",
+    ")\n",
+    "treatment_effect = data_dict['treatment_effect']\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "Next, define the learners for the nuisance functions and fit the [IRM Model](https://docs.doubleml.org/stable/api/generated/doubleml.DoubleMLIRM.html). Remark that the learners are not optimal for the linear form of this example."
+    "First, define the ``DoubleMLData`` object."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 14,
+   "metadata": {},
    "outputs": [],
+   "source": [
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Next, define the learners for the nuisance functions and fit the [IRM Model](https://docs.doubleml.org/stable/api/generated/doubleml.DoubleMLIRM.html). Remark that linear learners would usually be optimal due to the data generating process."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training IRM Model\n",
+      "       coef   std err           t  P>|t|     2.5 %    97.5 %\n",
+      "d  4.466251  0.041508  107.600481    0.0  4.384897  4.547605\n"
+     ]
+    }
+   ],
    "source": [
     "# First stage estimation\n",
     "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
@@ -190,63 +148,69 @@
     "dml_irm = dml.DoubleMLIRM(data_dml_base,\n",
     "                          ml_g=randomForest_reg,\n",
     "                          ml_m=randomForest_class,\n",
-    "                          trimming_threshold=0.01,\n",
+    "                          trimming_threshold=0.05,\n",
     "                          n_folds=5)\n",
     "print(\"Training IRM Model\")\n",
-    "dml_irm.fit()"
+    "dml_irm.fit()\n",
+    "\n",
+    "print(dml_irm.summary)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "To estimate the CATE, we rely on the best-linear-predictor of the linear score as in [Semenova et al. (2021)](https://doi.org/10.1093/ectj/utaa027) To approximate the target function $g(x)$ with a linear form, we have to define a data frame of basis functions. Here, we rely on [patsy](https://patsy.readthedocs.io/en/latest/) to construct a suitable basis of [B-splines](https://en.wikipedia.org/wiki/B-spline)."
+    "To estimate the CATE, we rely on the best-linear-predictor of the linear score as in [Semenova et al. (2021)](https://doi.org/10.1093/ectj/utaa027) To approximate the target function $\\theta_0(x)$ with a linear form, we have to define a data frame of basis functions. Here, we rely on [patsy](https://patsy.readthedocs.io/en/latest/) to construct a suitable basis of [B-splines](https://en.wikipedia.org/wiki/B-spline)."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 16,
+   "metadata": {},
    "outputs": [],
    "source": [
     "import patsy\n",
-    "design_matrix = patsy.dmatrix(\"bs(x, df=5, degree=2)\", {\"x\":data[\"x\"]})\n",
+    "design_matrix = patsy.dmatrix(\"bs(x, df=5, degree=2)\", {\"x\": data[\"X_0\"]})\n",
     "spline_basis = pd.DataFrame(design_matrix)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "To estimate the parameters to calculate the CATE estimate call the ``cate()`` method and supply the dataframe of basis elements."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== DoubleMLBLP Object ==================\n",
+      "\n",
+      "------------------ Fit summary ------------------\n",
+      "       coef   std err          t          P>|t|    [0.025    0.975]\n",
+      "0  0.666839  0.165197   4.036637   5.627191e-05  0.342863  0.990815\n",
+      "1  2.328422  0.275022   8.466317   4.835465e-17  1.789062  2.867782\n",
+      "2  4.951772  0.176802  28.007405  7.698326e-146  4.605035  5.298508\n",
+      "3  4.766565  0.211757  22.509645  3.623718e-100  4.351278  5.181853\n",
+      "4  3.708023  0.215120  17.237035   3.575184e-62  3.286140  4.129905\n",
+      "5  4.346897  0.231207  18.800924   9.971835e-73  3.893465  4.800329\n"
+     ]
+    }
+   ],
    "source": [
     "cate = dml_irm.cate(spline_basis)\n",
     "print(cate)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "To obtain the confidence intervals for the CATE, we have to call the ``confint()`` method and a supply a dataframe of basis elements.\n",
     "This could be the same basis as for fitting the CATE model or a new basis to e.g. evaluate the CATE model on a grid.\n",
@@ -256,11 +220,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       2.5 %    effect    97.5 %\n",
+      "0   2.058569  2.326686  2.594803\n",
+      "1   2.174741  2.447545  2.720348\n",
+      "2   2.287759  2.566408  2.845057\n",
+      "3   2.398312  2.683277  2.968242\n",
+      "4   2.506963  2.798151  3.089339\n",
+      "..       ...       ...       ...\n",
+      "95  4.376939  4.664438  4.951937\n",
+      "96  4.384978  4.666362  4.947745\n",
+      "97  4.395821  4.670832  4.945844\n",
+      "98  4.408869  4.677850  4.946831\n",
+      "99  4.423377  4.687415  4.951452\n",
+      "\n",
+      "[100 rows x 3 columns]\n"
+     ]
+    }
+   ],
    "source": [
     "new_data = {\"x\": np.linspace(0.1, 0.9, 100)}\n",
     "spline_grid = pd.DataFrame(patsy.build_design_matrices([design_matrix.design_info], new_data)[0])\n",
@@ -269,31 +252,34 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "Finally, we can plot our results and compare them with the true effect."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false,
-    "tags": [
-     "nbsphinx-thumbnail"
-    ]
-   },
-   "outputs": [],
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x750 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "from matplotlib import pyplot as plt\n",
     "plt.rcParams['figure.figsize'] = 10., 7.5\n",
     "\n",
     "df_cate['x'] = new_data['x']\n",
-    "df_cate['true_effect'] = treatment_effect_1d(new_data['x'])\n",
+    "df_cate['true_effect'] = treatment_effect(new_data[\"x\"].reshape(-1, 1))\n",
     "fig, ax = plt.subplots()\n",
     "ax.plot(df_cate['x'],df_cate['effect'], label='Estimated Effect')\n",
     "ax.plot(df_cate['x'],df_cate['true_effect'], color=\"green\", label='True Effect')\n",
@@ -306,89 +292,127 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
+   "source": [
+    "If the effect is not one-dimensional, the estimate still corresponds to the projection of the true effect on the basis functions."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
    "source": [
     "## Two-Dimensional Example\n",
     "\n",
-    "It is also possible to estimate multi-dimensional conditional effects. We will use the same data-generating process as above, but let $X$ be two-dimensional."
+    "It is also possible to estimate multi-dimensional conditional effects. We will use a similar data generating process but now the effect depends on the first two covariates $X_0$ and $X_1$ and takes the following form\n",
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_1).\n",
+    "$$"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "cell_type": "markdown",
+   "metadata": {},
    "source": [
-    "# DGP constants\n",
-    "np.random.seed(42)\n",
-    "n_samples = 5000\n",
-    "n_w = 10\n",
-    "support_size = 5\n",
-    "n_x = 2"
+    "With the argument ``n_x=2`` we can specify set the effect to be two-dimensional."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y    d       X_0       X_1       X_2       X_3       X_4       X_5  \\\n",
+      "0  1.286203  1.0  0.014080  0.006958  0.240127  0.100807  0.260211  0.177043   \n",
+      "1  0.416899  1.0  0.152148  0.912230  0.892796  0.653901  0.672234  0.005339   \n",
+      "2  2.087634  1.0  0.344787  0.893649  0.291517  0.562712  0.099731  0.921956   \n",
+      "3  7.508433  1.0  0.619351  0.232134  0.000943  0.757151  0.985207  0.809913   \n",
+      "4  0.567695  0.0  0.477130  0.447624  0.775191  0.526769  0.316717  0.258158   \n",
+      "\n",
+      "        X_6       X_7       X_8       X_9  \n",
+      "0  0.028520  0.909304  0.008223  0.736082  \n",
+      "1  0.984872  0.877833  0.895106  0.659245  \n",
+      "2  0.140770  0.224897  0.558134  0.764093  \n",
+      "3  0.460207  0.903767  0.409848  0.524934  \n",
+      "4  0.037747  0.583195  0.229961  0.148134  \n"
+     ]
+    }
+   ],
    "source": [
-    "# Create data\n",
-    "data, covariates, true_effect = create_synthetic_data(n_samples=n_samples, n_w=n_w, support_size=support_size, n_x=n_x)\n",
-    "data_dml_base = dml.DoubleMLData(data,\n",
-    "                                 y_col='y',\n",
-    "                                 d_cols='t',\n",
-    "                                 x_cols=covariates)"
+    "np.random.seed(42)\n",
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=5000,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=2,\n",
+    "    binary_treatment=True,\n",
+    ")\n",
+    "treatment_effect = data_dict['treatment_effect']\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "As univariate example estimate the [IRM Model](https://docs.doubleml.org/stable/api/generated/doubleml.DoubleMLIRM.html)."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 21,
+   "metadata": {},
    "outputs": [],
+   "source": [
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training IRM Model\n",
+      "       coef   std err           t  P>|t|     2.5 %    97.5 %\n",
+      "d  4.549415  0.038762  117.367602    0.0  4.473443  4.625388\n"
+     ]
+    }
+   ],
    "source": [
     "# First stage estimation\n",
     "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
     "randomForest_reg = RandomForestRegressor(n_estimators=500)\n",
     "randomForest_class = RandomForestClassifier(n_estimators=500)\n",
     "\n",
-    "np.random.seed(123)\n",
+    "np.random.seed(42)\n",
     "\n",
     "dml_irm = dml.DoubleMLIRM(data_dml_base,\n",
     "                          ml_g=randomForest_reg,\n",
     "                          ml_m=randomForest_class,\n",
-    "                          trimming_threshold=0.01,\n",
+    "                          trimming_threshold=0.05,\n",
     "                          n_folds=5)\n",
     "print(\"Training IRM Model\")\n",
-    "dml_irm.fit()"
+    "dml_irm.fit()\n",
+    "\n",
+    "print(dml_irm.summary)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "As above, we will rely on the [patsy](https://patsy.readthedocs.io/en/latest/) package to construct the basis elements.\n",
     "In the two-dimensional case, we will construct a tensor product of B-splines (for more information see [here](https://patsy.readthedocs.io/en/latest/spline-regression.html#tensor-product-smooths))."
@@ -396,13 +420,72 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== DoubleMLBLP Object ==================\n",
+      "\n",
+      "------------------ Fit summary ------------------\n",
+      "        coef   std err          t          P>|t|    [0.025     0.975]\n",
+      "0   2.772478  0.105432  26.296443  9.025857e-143  2.565785   2.979171\n",
+      "1  -1.228393  0.861112  -1.426520   1.537814e-01 -2.916554   0.459768\n",
+      "2   0.655298  0.851989   0.769139   4.418472e-01 -1.014978   2.325575\n",
+      "3   2.428873  0.752073   3.229569   1.247868e-03  0.954476   3.903270\n",
+      "4   0.646685  0.759540   0.851417   3.945790e-01 -0.842350   2.135719\n",
+      "5  -3.268832  0.955445  -3.421265   6.283490e-04 -5.141928  -1.395736\n",
+      "6  -4.770051  1.028242  -4.639035   3.590654e-06 -6.785862  -2.754241\n",
+      "7  -6.384280  0.999125  -6.389873   1.812606e-10 -8.343008  -4.425552\n",
+      "8  -2.360251  0.904239  -2.610206   9.076040e-03 -4.132961  -0.587541\n",
+      "9   3.678641  0.925931   3.972910   7.200908e-05  1.863406   5.493877\n",
+      "10 -0.027322  0.783600  -0.034867   9.721871e-01 -1.563525   1.508881\n",
+      "11  1.633205  0.823449   1.983371   4.738115e-02  0.018880   3.247531\n",
+      "12 -0.928353  1.022376  -0.908035   3.639039e-01 -2.932664   1.075957\n",
+      "13 -2.655531  1.129922  -2.350190   1.880290e-02 -4.870679  -0.440383\n",
+      "14 -2.441899  1.035428  -2.358347   1.839521e-02 -4.471798  -0.412000\n",
+      "15  0.151540  0.758562   0.199772   8.416670e-01 -1.335579   1.638658\n",
+      "16  1.266598  0.770520   1.643823   1.002762e-01 -0.243962   2.777159\n",
+      "17  3.774696  0.662345   5.698988   1.274974e-08  2.476206   5.073186\n",
+      "18  1.334266  0.670339   1.990436   4.659788e-02  0.020105   2.648427\n",
+      "19 -1.553117  0.838382  -1.852517   6.401114e-02 -3.196717   0.090484\n",
+      "20 -2.100974  0.892434  -2.354206   1.860119e-02 -3.850540  -0.351407\n",
+      "21 -2.870737  0.775592  -3.701348   2.167885e-04 -4.391242  -1.350232\n",
+      "22  2.262464  0.768567   2.943742   3.257777e-03  0.755731   3.769197\n",
+      "23  1.877826  0.802076   2.341206   1.926101e-02  0.305401   3.450251\n",
+      "24  4.521326  0.690288   6.549911   6.341622e-11  3.168055   5.874597\n",
+      "25  2.209261  0.663650   3.328957   8.780892e-04  0.908214   3.510308\n",
+      "26  1.855627  0.871856   2.128364   3.335616e-02  0.146403   3.564852\n",
+      "27 -1.355216  0.940858  -1.440404   1.498163e-01 -3.199716   0.489283\n",
+      "28 -1.324122  0.903326  -1.465830   1.427581e-01 -3.095042   0.446797\n",
+      "29  4.040331  0.979153   4.126354   3.746129e-05  2.120758   5.959905\n",
+      "30  4.381908  0.968569   4.524104   6.207102e-06  2.483082   6.280733\n",
+      "31  6.022751  0.836577   7.199278   6.962165e-13  4.382689   7.662813\n",
+      "32  3.820910  0.814644   4.690283   2.801674e-06  2.223847   5.417972\n",
+      "33  2.530140  1.051857   2.405403   1.619108e-02  0.468034   4.592246\n",
+      "34 -1.357062  1.176692  -1.153286   2.488488e-01 -3.663900   0.949776\n",
+      "35 -0.625226  1.150991  -0.543207   5.870121e-01 -2.881679   1.631227\n",
+      "36  7.133405  0.973837   7.325053   2.773702e-13  5.224253   9.042556\n",
+      "37  5.033576  1.016090   4.953867   7.517519e-07  3.041588   7.025563\n",
+      "38  7.234136  0.829100   8.725288   3.574398e-18  5.608733   8.859540\n",
+      "39  6.816515  0.908882   7.499888   7.526991e-14  5.034703   8.598327\n",
+      "40  2.318193  1.143411   2.027437   4.267124e-02  0.076601   4.559785\n",
+      "41  4.147731  1.257580   3.298186   9.799891e-04  1.682318   6.613145\n",
+      "42  2.175177  1.160457   1.874414   6.093223e-02 -0.099833   4.450188\n",
+      "43  9.837040  0.933336  10.539660   1.059470e-25  8.007289  11.666792\n",
+      "44  4.029316  1.127741   3.572910   3.563968e-04  1.818444   6.240187\n",
+      "45  9.163347  0.810484  11.306019   2.793031e-29  7.574439  10.752255\n",
+      "46  5.354931  0.821162   6.521163   7.672055e-11  3.745089   6.964772\n",
+      "47  5.900982  1.018227   5.795351   7.239851e-09  3.904806   7.897158\n",
+      "48  1.386943  1.044896   1.327349   1.844544e-01 -0.661518   3.435403\n",
+      "49  1.211968  1.034647   1.171382   2.415015e-01 -0.816400   3.240335\n"
+     ]
+    }
+   ],
    "source": [
-    "design_matrix = patsy.dmatrix(\"te(bs(x_0, df=7, degree=3), bs(x_1, df=7, degree=3))\", {\"x_0\": data[\"x_0\"], \"x_1\": data[\"x_1\"]})\n",
+    "design_matrix = patsy.dmatrix(\"te(bs(x_0, df=7, degree=3), bs(x_1, df=7, degree=3))\", {\"x_0\": data[\"X_0\"], \"x_1\": data[\"X_1\"]})\n",
     "spline_basis = pd.DataFrame(design_matrix)\n",
     "\n",
     "cate = dml_irm.cate(spline_basis)\n",
@@ -410,21 +493,16 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "Finally, we create a new grid to evaluate and plot the effects."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 24,
+   "metadata": {},
    "outputs": [],
    "source": [
     "grid_size = 100\n",
@@ -437,11 +515,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "         2.5 %    effect    97.5 %\n",
+      "0     1.691816  2.374105  3.056393\n",
+      "1     1.704410  2.366183  3.027956\n",
+      "2     1.724028  2.361257  2.998486\n",
+      "3     1.748607  2.359193  2.969780\n",
+      "4     1.775973  2.359859  2.943745\n",
+      "...        ...       ...       ...\n",
+      "9995  3.756911  4.510715  5.264519\n",
+      "9996  3.858702  4.654363  5.450025\n",
+      "9997  3.955702  4.793947  5.632192\n",
+      "9998  4.050642  4.927829  5.805016\n",
+      "9999  4.145730  5.054370  5.963010\n",
+      "\n",
+      "[10000 rows x 3 columns]\n"
+     ]
+    }
+   ],
    "source": [
     "spline_grid = pd.DataFrame(patsy.build_design_matrices([design_matrix.design_info], new_data)[0])\n",
     "df_cate = cate.confint(spline_grid, joint=True, n_rep_boot=2000)\n",
@@ -450,15 +547,92791 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.plotly.v1+json": {
+       "config": {
+        "plotlyServerURL": "https://plot.ly"
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    "source": [
     "import plotly.graph_objects as go\n",
     "\n",
-    "true_effect = np.array([treatment_effect_2d(x_i) for x_i in zip(x_0.ravel(), x_1.ravel())]).reshape(x_0.shape)\n",
+    "grid_array = np.array(list(zip(x_0.ravel(), x_1.ravel())))\n",
+    "true_effect = treatment_effect(grid_array).reshape(x_0.shape)\n",
     "effect = np.asarray(df_cate['effect']).reshape(x_0.shape)\n",
     "lower_bound = np.asarray(df_cate['2.5 %']).reshape(x_0.shape)\n",
     "upper_bound = np.asarray(df_cate['97.5 %']).reshape(x_0.shape)\n",
diff --git a/doc/examples/py_double_ml_cate_plr.ipynb b/doc/examples/py_double_ml_cate_plr.ipynb
new file mode 100644
index 00000000..b821fb49
--- /dev/null
+++ b/doc/examples/py_double_ml_cate_plr.ipynb
@@ -0,0 +1,93378 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Python: Conditional Average Treatment Effects (CATEs) for PLR models\n",
+    "\n",
+    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate conditional average treatment effects with B-splines for one or two-dimensional effects in the [DoubleMLPLR](https://docs.doubleml.org/stable/guide/models.html#partially-linear-regression-model-plr) model."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "import doubleml as dml\n",
+    "\n",
+    "from doubleml.datasets import make_heterogeneous_data"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Data\n",
+    "\n",
+    "We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
+    "\n",
+    "The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/api.html#dataset-generators)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## One-dimensional Example\n",
+    "\n",
+    "We start with an one-dimensional effect and create our training data. In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
+    "\n",
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The generated dictionary also contains a callable with key `treatment_effect` to calculate the true treatment effect for new observations."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y         d       X_0       X_1       X_2       X_3       X_4  \\\n",
+      "0  1.564451  0.241064  0.259828  0.886086  0.895690  0.297287  0.229994   \n",
+      "1  1.114570  0.040912  0.824350  0.396992  0.156317  0.737951  0.360475   \n",
+      "2  8.901013  1.392623  0.988421  0.977280  0.793818  0.659423  0.577807   \n",
+      "3 -1.315155 -0.551317  0.427486  0.330285  0.564232  0.850575  0.201528   \n",
+      "4  1.314625  0.683487  0.016200  0.818380  0.040139  0.889913  0.991963   \n",
+      "\n",
+      "        X_5       X_6       X_7       X_8       X_9  \n",
+      "0  0.411304  0.240532  0.672384  0.826065  0.673092  \n",
+      "1  0.671271  0.270644  0.081230  0.992582  0.156202  \n",
+      "2  0.866102  0.289440  0.467681  0.619390  0.411190  \n",
+      "3  0.934433  0.689088  0.823273  0.556191  0.779517  \n",
+      "4  0.294067  0.210319  0.765363  0.253026  0.865562  \n"
+     ]
+    }
+   ],
+   "source": [
+    "np.random.seed(42)\n",
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=2000,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=1,\n",
+    ")\n",
+    "treatment_effect = data_dict['treatment_effect']\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "First, define the ``DoubleMLData`` object."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Next, define the learners for the nuisance functions and fit the [PLR Model](https://docs.doubleml.org/stable/api/generated/doubleml.DoubleMLPLR.html). Remark that linear learners would usually be optimal due to the data generating process."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training PLR Model\n",
+      "       coef   std err          t  P>|t|     2.5 %    97.5 %\n",
+      "d  4.375819  0.044031  99.381402    0.0  4.289521  4.462118\n"
+     ]
+    }
+   ],
+   "source": [
+    "# First stage estimation\n",
+    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
+    "ml_l = RandomForestRegressor(n_estimators=500)\n",
+    "ml_m = RandomForestRegressor(n_estimators=500)\n",
+    "\n",
+    "np.random.seed(42)\n",
+    "\n",
+    "dml_plr = dml.DoubleMLPLR(data_dml_base,\n",
+    "                          ml_l=ml_l,\n",
+    "                          ml_m=ml_m,\n",
+    "                          n_folds=5)\n",
+    "print(\"Training PLR Model\")\n",
+    "dml_plr.fit()\n",
+    "\n",
+    "print(dml_plr.summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To estimate the CATE, we rely on the best-linear-predictor of the linear score as in [Semenova et al. (2021)](https://doi.org/10.1093/ectj/utaa027) To approximate the target function $\\theta_0(x)$ with a linear form, we have to define a data frame of basis functions. Here, we rely on [patsy](https://patsy.readthedocs.io/en/latest/) to construct a suitable basis of [B-splines](https://en.wikipedia.org/wiki/B-spline)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import patsy\n",
+    "design_matrix = patsy.dmatrix(\"bs(x, df=5, degree=2)\", {\"x\": data[\"X_0\"]})\n",
+    "spline_basis = pd.DataFrame(design_matrix)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To estimate the parameters to calculate the CATE estimate call the ``cate()`` method and supply the dataframe of basis elements."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== DoubleMLBLP Object ==================\n",
+      "\n",
+      "------------------ Fit summary ------------------\n",
+      "       coef   std err          t          P>|t|    [0.025    0.975]\n",
+      "0  1.227250  0.141597   8.667233   8.992960e-18  0.949558  1.504943\n",
+      "1  1.594316  0.237088   6.724563   2.292554e-11  1.129349  2.059283\n",
+      "2  4.188589  0.150023  27.919555  4.505313e-145  3.894370  4.482808\n",
+      "3  4.056879  0.182598  22.217593   6.782407e-98  3.698777  4.414982\n",
+      "4  3.283830  0.186677  17.590979   1.668243e-64  2.917728  3.649932\n",
+      "5  3.799474  0.194004  19.584489   2.960438e-78  3.419002  4.179946\n"
+     ]
+    }
+   ],
+   "source": [
+    "cate = dml_plr.cate(spline_basis)\n",
+    "print(cate)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To obtain the confidence intervals for the CATE, we have to call the ``confint()`` method and a supply a dataframe of basis elements.\n",
+    "This could be the same basis as for fitting the CATE model or a new basis to e.g. evaluate the CATE model on a grid.\n",
+    "Here, we will evaluate the CATE on a grid from 0.1 to 0.9 to plot the final results.\n",
+    "Further, we construct uniform confidence intervals by setting the option ``joint`` and providing a number of bootstrap repetitions ``n_rep_boot``."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       2.5 %    effect    97.5 %\n",
+      "0   2.195033  2.424649  2.654266\n",
+      "1   2.285453  2.517644  2.749835\n",
+      "2   2.373339  2.610068  2.846797\n",
+      "3   2.459502  2.701922  2.944341\n",
+      "4   2.544628  2.793205  3.041783\n",
+      "..       ...       ...       ...\n",
+      "95  4.492217  4.733012  4.973807\n",
+      "96  4.500586  4.735966  4.971346\n",
+      "97  4.511362  4.740887  4.970411\n",
+      "98  4.524089  4.747775  4.971461\n",
+      "99  4.538177  4.756630  4.975083\n",
+      "\n",
+      "[100 rows x 3 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "new_data = {\"x\": np.linspace(0.1, 0.9, 100)}\n",
+    "spline_grid = pd.DataFrame(patsy.build_design_matrices([design_matrix.design_info], new_data)[0])\n",
+    "df_cate = cate.confint(spline_grid, level=0.95, joint=True, n_rep_boot=2000)\n",
+    "print(df_cate)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Finally, we can plot our results and compare them with the true effect."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x750 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from matplotlib import pyplot as plt\n",
+    "plt.rcParams['figure.figsize'] = 10., 7.5\n",
+    "\n",
+    "df_cate['x'] = new_data['x']\n",
+    "df_cate['true_effect'] = treatment_effect(new_data[\"x\"].reshape(-1, 1))\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(df_cate['x'],df_cate['effect'], label='Estimated Effect')\n",
+    "ax.plot(df_cate['x'],df_cate['true_effect'], color=\"green\", label='True Effect')\n",
+    "ax.fill_between(df_cate['x'], df_cate['2.5 %'], df_cate['97.5 %'], color='b', alpha=.3, label='Confidence Interval')\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.title('CATE')\n",
+    "plt.xlabel('x')\n",
+    "_ =  plt.ylabel('Effect and 95%-CI')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "If the effect is not one-dimensional, the estimate still corresponds to the projection of the true effect on the basis functions."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Two-Dimensional Example\n",
+    "\n",
+    "It is also possible to estimate multi-dimensional conditional effects. We will use a similar data generating process but now the effect depends on the first two covariates $X_0$ and $X_1$ and takes the following form\n",
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_1).\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "With the argument ``n_x=2`` we can specify set the effect to be two-dimensional."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y         d       X_0       X_1       X_2       X_3       X_4  \\\n",
+      "0 -0.359307 -0.479722  0.014080  0.006958  0.240127  0.100807  0.260211   \n",
+      "1  0.578557 -0.587135  0.152148  0.912230  0.892796  0.653901  0.672234   \n",
+      "2  1.479882  0.172083  0.344787  0.893649  0.291517  0.562712  0.099731   \n",
+      "3  4.468072  0.480579  0.619351  0.232134  0.000943  0.757151  0.985207   \n",
+      "4  5.949866  0.974213  0.477130  0.447624  0.775191  0.526769  0.316717   \n",
+      "\n",
+      "        X_5       X_6       X_7       X_8       X_9  \n",
+      "0  0.177043  0.028520  0.909304  0.008223  0.736082  \n",
+      "1  0.005339  0.984872  0.877833  0.895106  0.659245  \n",
+      "2  0.921956  0.140770  0.224897  0.558134  0.764093  \n",
+      "3  0.809913  0.460207  0.903767  0.409848  0.524934  \n",
+      "4  0.258158  0.037747  0.583195  0.229961  0.148134  \n"
+     ]
+    }
+   ],
+   "source": [
+    "np.random.seed(42)\n",
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=5000,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=2,\n",
+    ")\n",
+    "treatment_effect = data_dict['treatment_effect']\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "As univariate example estimate the [PLR Model](https://docs.doubleml.org/stable/api/generated/doubleml.DoubleMLPLR.html)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training PLR Model\n",
+      "       coef   std err          t  P>|t|     2.5 %    97.5 %\n",
+      "d  4.468388  0.049726  89.860664    0.0  4.370928  4.565849\n"
+     ]
+    }
+   ],
+   "source": [
+    "# First stage estimation\n",
+    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
+    "ml_l = RandomForestRegressor(n_estimators=500)\n",
+    "ml_m = RandomForestRegressor(n_estimators=500)\n",
+    "\n",
+    "np.random.seed(42)\n",
+    "\n",
+    "dml_plr = dml.DoubleMLPLR(data_dml_base,\n",
+    "                          ml_l=ml_l,\n",
+    "                          ml_m=ml_m,\n",
+    "                          n_folds=5)\n",
+    "print(\"Training PLR Model\")\n",
+    "dml_plr.fit()\n",
+    "\n",
+    "print(dml_plr.summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "As above, we will rely on the [patsy](https://patsy.readthedocs.io/en/latest/) package to construct the basis elements.\n",
+    "In the two-dimensional case, we will construct a tensor product of B-splines (for more information see [here](https://patsy.readthedocs.io/en/latest/spline-regression.html#tensor-product-smooths))."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== DoubleMLBLP Object ==================\n",
+      "\n",
+      "------------------ Fit summary ------------------\n",
+      "        coef   std err          t          P>|t|    [0.025     0.975]\n",
+      "0   2.779079  0.103082  26.959769  1.723085e-149  2.576992   2.981167\n",
+      "1  -3.306347  0.865703  -3.819263   1.354893e-04 -5.003508  -1.609185\n",
+      "2   3.033079  0.885875   3.423824   6.224764e-04  1.296372   4.769786\n",
+      "3   1.727494  0.767494   2.250824   2.444036e-02  0.222866   3.232122\n",
+      "4   2.013710  0.771293   2.610825   9.059638e-03  0.501635   3.525786\n",
+      "5  -3.859948  0.928612  -4.156687   3.283498e-05 -5.680439  -2.039458\n",
+      "6  -5.440871  1.009742  -5.388376   7.439167e-08 -7.420414  -3.461329\n",
+      "7  -7.329223  0.915154  -8.008731   1.433230e-15 -9.123331  -5.535115\n",
+      "8  -0.616873  0.907985  -0.679387   4.969244e-01 -2.396927   1.163180\n",
+      "9  -0.180975  0.962080  -0.188108   8.507999e-01 -2.067079   1.705129\n",
+      "10  1.946828  0.825496   2.358373   1.839388e-02  0.328490   3.565166\n",
+      "11  0.593742  0.825190   0.719522   4.718535e-01 -1.023996   2.211480\n",
+      "12 -0.899634  1.042983  -0.862559   3.884220e-01 -2.944343   1.145075\n",
+      "13 -1.203702  1.127058  -1.068004   2.855709e-01 -3.413234   1.005831\n",
+      "14 -2.144804  0.952931  -2.250744   2.444544e-02 -4.012970  -0.276637\n",
+      "15  0.048727  0.787728   0.061857   9.506791e-01 -1.495570   1.593023\n",
+      "16  2.901179  0.794878   3.649840   2.651098e-04  1.342865   4.459493\n",
+      "17  1.846645  0.681991   2.707728   6.797830e-03  0.509641   3.183649\n",
+      "18  2.709578  0.666152   4.067505   4.825792e-05  1.403624   4.015532\n",
+      "19 -1.995526  0.844350  -2.363387   1.814719e-02 -3.650826  -0.340225\n",
+      "20 -1.961849  0.842507  -2.328586   1.992107e-02 -3.613536  -0.310163\n",
+      "21 -4.156313  0.734497  -5.658718   1.610896e-08 -5.596253  -2.716373\n",
+      "22  0.231582  0.779689   0.297019   7.664645e-01 -1.296954   1.760119\n",
+      "23  4.428317  0.795669   5.565527   2.751289e-08  2.868453   5.988182\n",
+      "24  2.398869  0.691716   3.467999   5.288139e-04  1.042800   3.754938\n",
+      "25  3.313726  0.655786   5.053064   4.504225e-07  2.028096   4.599357\n",
+      "26  0.058894  0.859382   0.068531   9.453657e-01 -1.625875   1.743663\n",
+      "27 -1.191363  0.950521  -1.253379   2.101270e-01 -3.054804   0.672079\n",
+      "28 -1.068853  0.891273  -1.199244   2.304906e-01 -2.816143   0.678436\n",
+      "29  5.463080  0.995158   5.489659   4.227988e-08  3.512128   7.414031\n",
+      "30  1.366034  0.971382   1.406279   1.597041e-01 -0.538305   3.270372\n",
+      "31  7.347554  0.857661   8.566965   1.401167e-17  5.666158   9.028950\n",
+      "32  2.947586  0.815189   3.615831   3.023661e-04  1.349454   4.545718\n",
+      "33  2.167526  1.039591   2.084980   3.712222e-02  0.129467   4.205585\n",
+      "34  0.257977  1.132959   0.227702   8.198869e-01 -1.963124   2.479079\n",
+      "35  0.970605  1.046972   0.927060   3.539407e-01 -1.081923   3.023134\n",
+      "36  6.640175  1.028688   6.454993   1.185749e-10  4.623490   8.656860\n",
+      "37  5.211416  1.050721   4.959847   7.290856e-07  3.151537   7.271295\n",
+      "38  7.084142  0.836053   8.473318   3.108706e-17  5.445108   8.723176\n",
+      "39  5.954662  0.906665   6.567657   5.635994e-11  4.177198   7.732126\n",
+      "40  4.410143  1.114328   3.957671   7.674424e-05  2.225567   6.594719\n",
+      "41  1.588201  1.254274   1.266232   2.054898e-01 -0.870732   4.047133\n",
+      "42 -0.678960  1.097256  -0.618779   5.360902e-01 -2.830068   1.472149\n",
+      "43  8.454342  0.999810   8.455946   3.600709e-17  6.494271  10.414414\n",
+      "44  7.065692  1.160582   6.088062   1.229072e-09  4.790437   9.340946\n",
+      "45  8.021118  0.824613   9.727133   3.644355e-22  6.404511   9.637724\n",
+      "46  6.991398  0.868572   8.049304   1.034081e-15  5.288612   8.694184\n",
+      "47  4.620378  1.039645   4.444187   9.015151e-06  2.582212   6.658543\n",
+      "48  2.419861  0.955097   2.533628   1.131943e-02  0.547447   4.292275\n",
+      "49  3.744834  0.820006   4.566837   5.071518e-06  2.137258   5.352409\n"
+     ]
+    }
+   ],
+   "source": [
+    "design_matrix = patsy.dmatrix(\"te(bs(x_0, df=7, degree=3), bs(x_1, df=7, degree=3))\", {\"x_0\": data[\"X_0\"], \"x_1\": data[\"X_1\"]})\n",
+    "spline_basis = pd.DataFrame(design_matrix)\n",
+    "\n",
+    "cate = dml_plr.cate(spline_basis)\n",
+    "print(cate)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Finally, we create a new grid to evaluate and plot the effects."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "grid_size = 100\n",
+    "x_0 = np.linspace(0.1, 0.9, grid_size)\n",
+    "x_1 = np.linspace(0.1, 0.9, grid_size)\n",
+    "x_0, x_1 = np.meshgrid(x_0, x_1)\n",
+    "\n",
+    "new_data = {\"x_0\": x_0.ravel(), \"x_1\": x_1.ravel()}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "         2.5 %    effect    97.5 %\n",
+      "0     1.331417  2.034517  2.737617\n",
+      "1     1.347677  2.035105  2.722532\n",
+      "2     1.375107  2.042297  2.709486\n",
+      "3     1.411357  2.055573  2.699789\n",
+      "4     1.453978  2.074414  2.694850\n",
+      "...        ...       ...       ...\n",
+      "9995  3.549074  4.254486  4.959897\n",
+      "9996  3.586853  4.335113  5.083373\n",
+      "9997  3.623039  4.418102  5.213165\n",
+      "9998  3.662314  4.503722  5.345130\n",
+      "9999  3.708989  4.592239  5.475489\n",
+      "\n",
+      "[10000 rows x 3 columns]\n"
+     ]
+    }
+   ],
+   "source": [
+    "spline_grid = pd.DataFrame(patsy.build_design_matrices([design_matrix.design_info], new_data)[0])\n",
+    "df_cate = cate.confint(spline_grid, joint=True, n_rep_boot=2000)\n",
+    "print(df_cate)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.plotly.v1+json": {
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+        "plotlyServerURL": "https://plot.ly"
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+           "bgcolor": "#E5ECF6",
+           "caxis": {
+            "gridcolor": "white",
+            "linecolor": "white",
+            "ticks": ""
+           }
+          },
+          "title": {
+           "x": 0.05
+          },
+          "xaxis": {
+           "automargin": true,
+           "gridcolor": "white",
+           "linecolor": "white",
+           "ticks": "",
+           "title": {
+            "standoff": 15
+           },
+           "zerolinecolor": "white",
+           "zerolinewidth": 2
+          },
+          "yaxis": {
+           "automargin": true,
+           "gridcolor": "white",
+           "linecolor": "white",
+           "ticks": "",
+           "title": {
+            "standoff": 15
+           },
+           "zerolinecolor": "white",
+           "zerolinewidth": 2
+          }
+         }
+        },
+        "width": 700
+       }
+      }
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import plotly.graph_objects as go\n",
+    "\n",
+    "grid_array = np.array(list(zip(x_0.ravel(), x_1.ravel())))\n",
+    "true_effect = treatment_effect(grid_array).reshape(x_0.shape)\n",
+    "effect = np.asarray(df_cate['effect']).reshape(x_0.shape)\n",
+    "lower_bound = np.asarray(df_cate['2.5 %']).reshape(x_0.shape)\n",
+    "upper_bound = np.asarray(df_cate['97.5 %']).reshape(x_0.shape)\n",
+    "\n",
+    "fig = go.Figure(data=[\n",
+    "    go.Surface(x=x_0,\n",
+    "               y=x_1,\n",
+    "               z=true_effect),\n",
+    "    go.Surface(x=x_0,\n",
+    "               y=x_1,\n",
+    "               z=upper_bound, showscale=False, opacity=0.4,colorscale='purp'),\n",
+    "    go.Surface(x=x_0,\n",
+    "               y=x_1,\n",
+    "               z=lower_bound, showscale=False, opacity=0.4,colorscale='purp'),\n",
+    "])\n",
+    "fig.update_traces(contours_z=dict(show=True, usecolormap=True,\n",
+    "                                  highlightcolor=\"limegreen\", project_z=True))\n",
+    "\n",
+    "fig.update_layout(scene = dict(\n",
+    "                    xaxis_title='X_0',\n",
+    "                    yaxis_title='X_1',\n",
+    "                    zaxis_title='Effect'),\n",
+    "                    width=700,\n",
+    "                    margin=dict(r=20, b=10, l=10, t=10))\n",
+    "\n",
+    "fig.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "dml_dev",
+   "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": "3.11.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/doc/examples/py_double_ml_gate.ipynb b/doc/examples/py_double_ml_gate.ipynb
index 92a6bb45..7bf3ae72 100644
--- a/doc/examples/py_double_ml_gate.ipynb
+++ b/doc/examples/py_double_ml_gate.ipynb
@@ -7,349 +7,264 @@
     "collapsed": false
    },
    "source": [
-    "# Python: Group Average Treatment Effects (GATEs)\n",
+    "# Python: Group Average Treatment Effects (GATEs) for IRM models\n",
     "\n",
-    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate group average treatment effects."
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
-   "source": [
-    "## Data\n",
-    "\n",
-    "The data will be generated with a simple data generating process to enable us to know the true group effects."
+    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate group average treatment effects in the [DoubleMLIRM](https://docs.doubleml.org/stable/guide/models.html#interactive-regression-model-irm) model."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {
-    "collapsed": true
-   },
+   "execution_count": 29,
+   "metadata": {},
    "outputs": [],
    "source": [
     "import numpy as np\n",
     "import pandas as pd\n",
-    "import doubleml as dml"
+    "import doubleml as dml\n",
+    "\n",
+    "from doubleml.datasets import make_heterogeneous_data"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "Here, we consider three different groups which depend on the first covariate, which could correspond to e.g. three different age groups in the sample.\n",
-    "For simplicity, the treatment effect within each group is generated to be constant, such that it corresponds to the group average treatment effect."
+    "## Data\n",
+    "\n",
+    "We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
+    "\n",
+    "The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/api.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
+    "\n",
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",
+    "$$"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y    d       X_0       X_1       X_2       X_3       X_4       X_5  \\\n",
+      "0  6.114530  1.0  0.925248  0.180575  0.567945  0.915488  0.033946  0.697420   \n",
+      "1  5.580922  1.0  0.474214  0.862043  0.844549  0.319100  0.828915  0.037008   \n",
+      "2  1.278434  0.0  0.696289  0.339875  0.724767  0.065356  0.315290  0.539491   \n",
+      "3  1.794805  0.0  0.615863  0.232959  0.024401  0.870099  0.021269  0.874702   \n",
+      "4  6.178169  1.0  0.350712  0.767188  0.401931  0.479876  0.627505  0.873677   \n",
+      "\n",
+      "        X_6       X_7       X_8       X_9  \n",
+      "0  0.297349  0.924396  0.971058  0.944266  \n",
+      "1  0.596270  0.230009  0.120567  0.076953  \n",
+      "2  0.790723  0.318753  0.625891  0.885978  \n",
+      "3  0.528937  0.939068  0.798783  0.997934  \n",
+      "4  0.984083  0.768273  0.417767  0.421357  \n"
+     ]
+    }
+   ],
    "source": [
-    "def group_effect(x):\n",
-    "    if x[0] <= -0.7:\n",
-    "        te = 3\n",
-    "    elif (x[0] > -0.7) & (x[0] <= 0.2):\n",
-    "        te = 1\n",
-    "    else:\n",
-    "        te = 0\n",
-    "    return te"
+    "np.random.seed(42)\n",
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=500,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=1,\n",
+    "    binary_treatment=True,\n",
+    ")\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "The data is generated as\n",
-    "\n",
-    "$$\n",
-    "\\begin{aligned}\n",
-    "Y_i & = g(W_1)T_i + \\langle W_i,\\gamma_0\\rangle + \\epsilon_i \\\\\n",
-    "T_i & = \\langle W_i,\\beta_0\\rangle +\\eta_i,\n",
-    "\\end{aligned}\n",
-    "$$\n",
-    "\n",
-    "where $W_i\\sim\\mathcal{N}(0,I_{d_w})$ and $\\epsilon_i,\\eta_i\\sim\\mathcal{U}[0,1]$.\n",
-    "The coefficient vectors $\\gamma_0$ and $\\beta_0$ both have small random support which values are drawn independently from $\\mathcal{U}[0,1]$.\n",
-    "Further, $g(w_1)$ defines the conditional treatment effect, which is generated depending on $w_1$.\n",
-    "\n",
-    "$$g(w_1) = \\begin{cases}3\\quad,\\text{for } w_1\\le -0.7\\\\\n",
-    "1\\quad,\\text{for } -0.7 < w_1\\le  0.2\\\\\n",
-    "0\\quad,\\text{for } 0.2 < w_1\\\\\n",
-    " \\end{cases}.$$"
+    "The generated dictionary also contains the true individual effects saved in the key `effects`."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[4.770944   5.4235839  5.07202564 5.30917769 4.97441062]\n"
+     ]
+    }
+   ],
    "source": [
-    "def create_synthetic_group_data(n_samples=200, n_w=10, support_size=5):\n",
-    "    \"\"\"\n",
-    "    Creates a simple synthetic example for group effects.\n",
-    "\n",
-    "    Parameters\n",
-    "    ----------\n",
-    "    n_samples : int\n",
-    "        Number of samples.\n",
-    "        Default is ``200``.\n",
-    "\n",
-    "    n_w : int\n",
-    "        Dimension of covariates.\n",
-    "        Default is ``10``.\n",
-    "\n",
-    "    support_size : int\n",
-    "        Number of relevant covariates.\n",
-    "        Default is ``5``.\n",
-    "\n",
-    "    Returns\n",
-    "    -------\n",
-    "     data : pd.DataFrame\n",
-    "            A data frame.\n",
-    "\n",
-    "    \"\"\"\n",
-    "    # Outcome support\n",
-    "    support_w = np.random.choice(np.arange(n_w), size=support_size, replace=False)\n",
-    "    coefs_w = np.random.uniform(0, 1, size=support_size)\n",
-    "    # Define the function to generate the noise\n",
-    "    epsilon_sample = lambda n: np.random.uniform(-1, 1, size=n_samples)\n",
-    "    # Treatment support\n",
-    "    # Assuming the matrices gamma and beta have the same number of non-zero components\n",
-    "    support_t = np.random.choice(np.arange(n_w), size=support_size, replace=False)\n",
-    "    coefs_t = np.random.uniform(0, 1, size=support_size)\n",
-    "    # Define the function to generate the noise\n",
-    "    eta_sample = lambda n: np.random.uniform(-1, 1, size=n_samples)\n",
-    "\n",
-    "    # Generate controls, covariates, treatments and outcomes\n",
-    "    w = np.random.normal(0, 1, size=(n_samples, n_w))\n",
-    "    # Group treatment effect\n",
-    "    te = np.apply_along_axis(group_effect, axis=1, arr=w)\n",
-    "    # Define treatment\n",
-    "    log_odds = np.dot(w[:, support_t], coefs_t) + eta_sample(n_samples)\n",
-    "    t_sigmoid = 1 / (1 + np.exp(-log_odds))\n",
-    "    t = np.array([np.random.binomial(1, p) for p in t_sigmoid])\n",
-    "    # Define the outcome\n",
-    "    y = te * t + np.dot(w[:, support_w], coefs_w) + epsilon_sample(n_samples)\n",
-    "\n",
-    "    # Now we build the dataset\n",
-    "    y_df = pd.DataFrame({'y': y})\n",
-    "    t_df = pd.DataFrame({'t': t})\n",
-    "    w_df = pd.DataFrame(data=w, index=np.arange(w.shape[0]), columns=[f'w_{i}' for i in range(w.shape[1])])\n",
-    "\n",
-    "    data = pd.concat([y_df, t_df, w_df], axis=1)\n",
-    "    covariates = list(w_df.columns.values)\n",
-    "\n",
-    "    return data, covariates"
+    "ite = data_dict['effects']\n",
+    "print(ite[:5])"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "We will consider a quite small number of covariates to ensure fast calcualtion."
+    "The goal is to estimate the average treatment effect for different groups based on the covariate $X_0$. The groups can be specified as [DataFrame](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.html) with boolean columns. We consider the following three groups"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [],
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "   Group 1  Group 2  Group 3\n",
+      "0    False    False     True\n",
+      "1    False     True    False\n",
+      "2    False     True    False\n",
+      "3    False     True    False\n",
+      "4    False     True    False\n"
+     ]
+    }
+   ],
    "source": [
-    "# DGP constants\n",
-    "np.random.seed(42)\n",
-    "n_samples = 500\n",
-    "n_w = 10\n",
-    "support_size = 5\n",
-    "\n",
-    "# Create data\n",
-    "data, covariates = create_synthetic_group_data(n_samples=n_samples, n_w=n_w, support_size=support_size)\n",
-    "data_dml_base = dml.DoubleMLData(data,\n",
-    "                                 y_col='y',\n",
-    "                                 d_cols='t',\n",
-    "                                 x_cols=covariates)"
+    "groups = pd.DataFrame(\n",
+    "    np.column_stack((data['X_0'] <= 0.3,\n",
+    "                     (data['X_0'] > 0.3) & (data['X_0'] <= 0.7),\n",
+    "                     data['X_0'] > 0.7)),\n",
+    "    columns=['Group 1', 'Group 2', 'Group 3'])\n",
+    "print(groups.head())"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "## Interactive Regression Model (IRM)\n",
-    "The first step is to fit a [DoubleML IRM Model](https://docs.doubleml.org/stable/guide/models.html#interactive-regression-model-irm) to the data."
+    "The true effects (still including sampling uncertainty) are given by"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 33,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Training IRM Model\n"
+      "[2.906716732639898, 5.223485956098176, 4.827938162750831]\n"
      ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<doubleml.double_ml_irm.DoubleMLIRM at 0x1b4784fff10>"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "# First stage estimation\n",
-    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
-    "randomForest_reg = RandomForestRegressor(n_estimators=500)\n",
-    "randomForest_class = RandomForestClassifier(n_estimators=500)\n",
-    "\n",
-    "np.random.seed(42)\n",
-    "\n",
-    "dml_irm = dml.DoubleMLIRM(data_dml_base,\n",
-    "                          ml_g=randomForest_reg,\n",
-    "                          ml_m=randomForest_class,\n",
-    "                          trimming_threshold=0.01,\n",
-    "                          n_folds=5)\n",
-    "print(\"Training IRM Model\")\n",
-    "dml_irm.fit(store_predictions=True)"
+    "true_effects = [ite[groups[group]].mean() for group in groups.columns]\n",
+    "print(true_effects)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "## Group Average Treatment Effects (GATEs)\n",
-    "Next, we can specify the groups as [DataFrame](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.html) with boolean columns."
+    "## Interactive Regression Model (IRM)\n",
+    "The first step is to fit a [DoubleML IRM Model](https://docs.doubleml.org/stable/guide/models.html#interactive-regression-model-irm) to the data."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 34,
+   "metadata": {},
    "outputs": [],
    "source": [
-    "groups = pd.DataFrame(np.column_stack([data['w_0'] <= -0.7,\n",
-    "                                       (data['w_0'] > -0.7) & (data['w_0'] <= 0.2),\n",
-    "                                       data['w_0'] > 0.2]),\n",
-    "             columns=['Group 1', 'Group 2', 'Group 3'])"
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 35,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "   Group 1  Group 2  Group 3\n",
-      "0    False     True    False\n",
-      "1    False     True    False\n",
-      "2     True    False    False\n",
-      "3     True    False    False\n",
-      "4     True    False    False\n"
+      "Training PLR Model\n",
+      "       coef   std err          t  P>|t|     2.5 %    97.5 %\n",
+      "d  4.352519  0.097702  44.549049    0.0  4.161027  4.544011\n"
      ]
     }
    ],
    "source": [
-    "print(groups.head())"
+    "# First stage estimation\n",
+    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
+    "ml_l = RandomForestRegressor(n_estimators=500)\n",
+    "ml_m = RandomForestRegressor(n_estimators=500)\n",
+    "\n",
+    "np.random.seed(42)\n",
+    "\n",
+    "dml_plr = dml.DoubleMLPLR(data_dml_base,\n",
+    "                          ml_l=ml_l,\n",
+    "                          ml_m=ml_m,\n",
+    "                          n_folds=5)\n",
+    "print(\"Training PLR Model\")\n",
+    "dml_plr.fit()\n",
+    "\n",
+    "print(dml_plr.summary)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "To calculate GATEs just call the ``gate()`` method and supply the DataFrame with the group definitions and the ``level`` (with default of ``0.95``)."
+    "## Group Average Treatment Effects (GATEs)\n",
+    "To calculate GATEs just call the ``gate()`` method and supply the DataFrame with the group definitions and the ``level`` (with default of ``0.95``). Remark that for straightforward interpretation of the GATEs the groups should be mutually exclusive."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 36,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "            2.5 %    effect    97.5 %\n",
-      "Group 1  2.793648  3.125180  3.456711\n",
-      "Group 2  0.935750  1.233350  1.530950\n",
-      "Group 3 -0.170841  0.024572  0.219985\n"
+      "Group 1  2.434306  2.781513  3.128720\n",
+      "Group 2  5.018284  5.221479  5.424674\n",
+      "Group 3  4.427046  4.679951  4.932856\n"
      ]
     }
    ],
    "source": [
-    "gate = dml_irm.gate(groups=groups)\n",
+    "gate = dml_plr.gate(groups=groups)\n",
     "print(gate.confint(level=0.95))"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "The confidence intervals above are point-wise, but by setting the option ``joint`` and providing a number of bootstrap repetitions ``n_rep_boot``."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 37,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "            2.5 %    effect    97.5 %\n",
-      "Group 1  2.498694  3.125180  3.751665\n",
-      "Group 2  0.670983  1.233350  1.795717\n",
-      "Group 3 -0.344695  0.024572  0.393839\n"
+      "Group 1  2.125406  2.781513  3.437621\n",
+      "Group 2  4.837507  5.221479  5.605451\n",
+      "Group 3  4.202043  4.679951  5.157859\n"
      ]
     }
    ],
@@ -359,28 +274,20 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "Finally, let us plot the estimates together with the true effect within each group."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {
-    "collapsed": false,
-    "tags": [
-     "nbsphinx-thumbnail"
-    ]
-   },
+   "execution_count": 38,
+   "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
       "text/plain": [
        "<Figure size 1000x750 with 1 Axes>"
       ]
@@ -401,7 +308,7 @@
     "\n",
     "#add true effect\n",
     "ax = plt.subplot(1, 1, 1)\n",
-    "ax.scatter(x=['Group 1', 'Group 2', 'Group 3'], y=[3, 1, 0], c='red', label='True Effect')\n",
+    "ax.scatter(x=['Group 1', 'Group 2', 'Group 3'], y=true_effects, c='red', label='True Effect')\n",
     "\n",
     "plt.title('GATEs')\n",
     "plt.xlabel('Groups')\n",
@@ -410,41 +317,36 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "It is also possible to supply disjoint groups as a single vector (still as a data frame). Remark the slightly different name."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 39,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "  Group\n",
-      "0     2\n",
+      "0     3\n",
       "1     2\n",
-      "2     1\n",
-      "3     1\n",
-      "4     1\n"
+      "2     2\n",
+      "3     2\n",
+      "4     2\n"
      ]
     }
    ],
    "source": [
-    "groups =  pd.DataFrame(columns=['Group'], index=range(data['w_0'].shape[0]), dtype=str)\n",
-    "for i, w_i in enumerate(data['w_0']):\n",
-    "    if w_i <= -0.7:\n",
+    "groups =  pd.DataFrame(columns=['Group'], index=range(data['X_0'].shape[0]), dtype=str)\n",
+    "for i, x_i in enumerate(data['X_0']):\n",
+    "    if x_i <= 0.3:\n",
     "         groups['Group'][i] = '1'\n",
-    "    elif (w_i > -0.7) & (w_i <= 0.2):\n",
+    "    elif (x_i > 0.3) & (x_i <= 0.7):\n",
     "         groups['Group'][i] = '2'\n",
     "    else:\n",
     "         groups['Group'][i] = '3'\n",
@@ -452,55 +354,55 @@
     "print(groups.head())"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "This time lets consider pointwise confidence intervals."
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 12,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 40,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
       "            2.5 %    effect    97.5 %\n",
-      "Group_1  2.793648  3.125180  3.456711\n",
-      "Group_2  0.935750  1.233350  1.530950\n",
-      "Group_3 -0.170841  0.024572  0.219985\n"
+      "Group_1  2.434306  2.781513  3.128720\n",
+      "Group_2  5.018284  5.221479  5.424674\n",
+      "Group_3  4.427046  4.679951  4.932856\n"
      ]
     }
    ],
    "source": [
-    "gate = dml_irm.gate(groups=groups)\n",
+    "gate = dml_plr.gate(groups=groups)\n",
     "ci = gate.confint()\n",
     "print(ci)"
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
     "The coefficients of the best linear predictor can be seen via the summary (the values can be accessed through the underlying model ``.blp_model``)."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 41,
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "             coef   std err          t         P>|t|    [0.025    0.975]\n",
-      "Group_1  3.125180  0.149762  20.867623  6.450889e-70  2.830935  3.419425\n",
-      "Group_2  1.233350  0.142024   8.684105  5.517504e-17  0.954309  1.512391\n",
-      "Group_3  0.024572  0.117686   0.208795  8.346940e-01 -0.206651  0.255795\n"
+      "             coef   std err          t          P>|t|    [0.025    0.975]\n",
+      "Group_1  2.781513  0.141741  19.623913   6.546859e-64  2.503028  3.059999\n",
+      "Group_2  5.221479  0.116838  44.689855  3.231858e-176  4.991922  5.451037\n",
+      "Group_3  4.679951  0.150056  31.187975  4.282587e-119  4.385128  4.974774\n"
      ]
     }
    ],
@@ -509,50 +411,20 @@
    ]
   },
   {
-   "attachments": {},
    "cell_type": "markdown",
-   "metadata": {
-    "collapsed": false
-   },
+   "metadata": {},
    "source": [
-    "Remark that the confidence intervals are slightly smaller, since they are not based on the White's heteroskedasticity robus standard errors."
+    "Remark that the confidence intervals in the summary are slightly smaller, since they are not based on the White's heteroskedasticity robus standard errors."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
-   "metadata": {
-    "collapsed": false
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "================== DoubleMLBLP Object ==================\n",
-      "\n",
-      "------------------ Fit summary ------------------\n",
-      "             coef   std err          t         P>|t|    [0.025    0.975]\n",
-      "Group_1  3.125180  0.149762  20.867623  6.450889e-70  2.830935  3.419425\n",
-      "Group_2  1.233350  0.142024   8.684105  5.517504e-17  0.954309  1.512391\n",
-      "Group_3  0.024572  0.117686   0.208795  8.346940e-01 -0.206651  0.255795\n"
-     ]
-    }
-   ],
-   "source": [
-    "print(gate)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 15,
-   "metadata": {
-    "collapsed": false
-   },
+   "execution_count": 42,
+   "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 1000x750 with 1 Axes>"
       ]
@@ -568,7 +440,7 @@
     "\n",
     "#add true effect\n",
     "ax = plt.subplot(1, 1, 1)\n",
-    "ax.scatter(x=['Group_1', 'Group_2', 'Group_3'], y=[3, 1, 0], c='red', label='True Effect')\n",
+    "ax.scatter(x=['Group_1', 'Group_2', 'Group_3'], y=true_effects, c='red', label='True Effect')\n",
     "\n",
     "plt.errorbar(ci.index, ci.effect, fmt='o', yerr=errors)\n",
     "plt.title('GATEs')\n",
diff --git a/doc/examples/py_double_ml_gate_plr.ipynb b/doc/examples/py_double_ml_gate_plr.ipynb
new file mode 100644
index 00000000..fd5bb746
--- /dev/null
+++ b/doc/examples/py_double_ml_gate_plr.ipynb
@@ -0,0 +1,475 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Python: Group Average Treatment Effects (GATEs) for PLR models\n",
+    "\n",
+    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to estimate group average treatment effects in the [DoubleMLPLR](https://docs.doubleml.org/stable/guide/models.html#partially-linear-regression-model-plr) model."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 57,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "import doubleml as dml\n",
+    "\n",
+    "from doubleml.datasets import make_heterogeneous_data"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Data\n",
+    "\n",
+    "We define a data generating process to create synthetic data to compare the estimates to the true effect. The data generating process is based on the Monte Carlo simulation from [Oprescu et al. (2019)](http://proceedings.mlr.press/v97/oprescu19a.html).\n",
+    "\n",
+    "The documentation of the data generating process can be found [here](https://docs.doubleml.org/dev/api/api.html#dataset-generators). In this example the true effect depends only the first covariate $X_0$ and takes the following form\n",
+    "\n",
+    "$$\n",
+    "\\theta_0(X) = \\exp(2X_0) + 3\\sin(4X_0).\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 58,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "          y         d       X_0       X_1       X_2       X_3       X_4  \\\n",
+      "0 -1.543764 -0.605195  0.925248  0.180575  0.567945  0.915488  0.033946   \n",
+      "1  0.463766  0.056499  0.474214  0.862043  0.844549  0.319100  0.828915   \n",
+      "2  5.946406  0.920337  0.696289  0.339875  0.724767  0.065356  0.315290   \n",
+      "3  8.994937  1.356167  0.615863  0.232959  0.024401  0.870099  0.021269   \n",
+      "4  0.254038 -0.190921  0.350712  0.767188  0.401931  0.479876  0.627505   \n",
+      "\n",
+      "        X_5       X_6       X_7       X_8       X_9  \n",
+      "0  0.697420  0.297349  0.924396  0.971058  0.944266  \n",
+      "1  0.037008  0.596270  0.230009  0.120567  0.076953  \n",
+      "2  0.539491  0.790723  0.318753  0.625891  0.885978  \n",
+      "3  0.874702  0.528937  0.939068  0.798783  0.997934  \n",
+      "4  0.873677  0.984083  0.768273  0.417767  0.421357  \n"
+     ]
+    }
+   ],
+   "source": [
+    "np.random.seed(42)\n",
+    "data_dict = make_heterogeneous_data(\n",
+    "    n_obs=500,\n",
+    "    p=10,\n",
+    "    support_size=5,\n",
+    "    n_x=1,\n",
+    ")\n",
+    "data = data_dict['data']\n",
+    "print(data.head())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The generated dictionary also contains the true individual effects saved in the key `effects`."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 59,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[4.770944   5.4235839  5.07202564 5.30917769 4.97441062]\n"
+     ]
+    }
+   ],
+   "source": [
+    "ite = data_dict['effects']\n",
+    "print(ite[:5])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The goal is to estimate the average treatment effect for different groups based on the covariate $X_0$. The groups can be specified as [DataFrame](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.html) with boolean columns. We consider the following three groups"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "   Group 1  Group 2  Group 3\n",
+      "0    False    False     True\n",
+      "1    False     True    False\n",
+      "2    False     True    False\n",
+      "3    False     True    False\n",
+      "4    False     True    False\n"
+     ]
+    }
+   ],
+   "source": [
+    "groups = pd.DataFrame(\n",
+    "    np.column_stack((data['X_0'] <= 0.3,\n",
+    "                     (data['X_0'] > 0.3) & (data['X_0'] <= 0.7),\n",
+    "                     data['X_0'] > 0.7)),\n",
+    "    columns=['Group 1', 'Group 2', 'Group 3'])\n",
+    "print(groups.head())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The true effects (still including sampling uncertainty) are given by"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[2.906716732639898, 5.223485956098176, 4.827938162750831]\n"
+     ]
+    }
+   ],
+   "source": [
+    "true_effects = [ite[groups[group]].mean() for group in groups.columns]\n",
+    "print(true_effects)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Partially Linear Regression Model (PLR)\n",
+    "The first step is to fit a [DoubleML PLR Model](https://docs.doubleml.org/stable/guide/models.html#partially-linear-regression-model-plr) to the data."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "data_dml_base = dml.DoubleMLData(\n",
+    "    data,\n",
+    "    y_col='y',\n",
+    "    d_cols='d'\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 63,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training PLR Model\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err          t  P>|t|    2.5 %    97.5 %\n",
+      "d  4.441735  0.088254  50.328829    0.0  4.26876  4.614711\n"
+     ]
+    }
+   ],
+   "source": [
+    "# First stage estimation\n",
+    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
+    "ml_l = RandomForestRegressor(n_estimators=500)\n",
+    "ml_m = RandomForestRegressor(n_estimators=500)\n",
+    "\n",
+    "np.random.seed(42)\n",
+    "\n",
+    "dml_plr = dml.DoubleMLPLR(data_dml_base,\n",
+    "                          ml_l=ml_l,\n",
+    "                          ml_m=ml_m,\n",
+    "                          n_folds=5)\n",
+    "print(\"Training PLR Model\")\n",
+    "dml_plr.fit()\n",
+    "\n",
+    "print(dml_plr.summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Group Average Treatment Effects (GATEs)\n",
+    "To calculate GATEs just call the ``gate()`` method and supply the DataFrame with the group definitions and the ``level`` (with default of ``0.95``). Remark that for straightforward interpretation of the GATEs the groups should be mutually exclusive."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 64,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            2.5 %    effect    97.5 %\n",
+      "Group 1  2.603452  2.943614  3.283777\n",
+      "Group 2  4.891511  5.050352  5.209193\n",
+      "Group 3  4.666169  4.862260  5.058352\n"
+     ]
+    }
+   ],
+   "source": [
+    "gate = dml_plr.gate(groups=groups)\n",
+    "print(gate.confint(level=0.95))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The confidence intervals above are point-wise, but by setting the option ``joint`` and providing a number of bootstrap repetitions ``n_rep_boot``."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 65,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            2.5 %    effect    97.5 %\n",
+      "Group 1  2.300819  2.943614  3.586409\n",
+      "Group 2  4.750196  5.050352  5.350508\n",
+      "Group 3  4.491712  4.862260  5.232809\n"
+     ]
+    }
+   ],
+   "source": [
+    "ci = gate.confint(level=0.95, joint=True, n_rep_boot=1000)\n",
+    "print(ci)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Finally, let us plot the estimates together with the true effect within each group.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x750 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "plt.rcParams['figure.figsize'] = 10., 7.5\n",
+    "\n",
+    "errors = np.full((2, ci.shape[0]), np.nan)\n",
+    "errors[0, :] = ci['effect'] - ci['2.5 %']\n",
+    "errors[1, :] = ci['97.5 %'] - ci['effect']\n",
+    "\n",
+    "plt.errorbar(ci.index, ci.effect, fmt='o', yerr=errors, label='Estimated Effect (with joint CI)')\n",
+    "\n",
+    "#add true effect\n",
+    "ax = plt.subplot(1, 1, 1)\n",
+    "ax.scatter(x=['Group 1', 'Group 2', 'Group 3'], y=true_effects, c='red', label='True Effect')\n",
+    "\n",
+    "plt.title('GATEs')\n",
+    "plt.xlabel('Groups')\n",
+    "plt.legend()\n",
+    "_ = plt.ylabel('Effect and 95%-CI')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "It is also possible to supply disjoint groups as a single vector (still as a data frame). Remark the slightly different name."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 67,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "  Group\n",
+      "0     3\n",
+      "1     2\n",
+      "2     2\n",
+      "3     2\n",
+      "4     2\n"
+     ]
+    }
+   ],
+   "source": [
+    "groups =  pd.DataFrame(columns=['Group'], index=range(data['X_0'].shape[0]), dtype=str)\n",
+    "for i, x_i in enumerate(data['X_0']):\n",
+    "    if x_i <= 0.3:\n",
+    "         groups['Group'][i] = '1'\n",
+    "    elif (x_i > 0.3) & (x_i <= 0.7):\n",
+    "         groups['Group'][i] = '2'\n",
+    "    else:\n",
+    "         groups['Group'][i] = '3'\n",
+    "\n",
+    "print(groups.head())"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "This time lets consider pointwise confidence intervals."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 68,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "            2.5 %    effect    97.5 %\n",
+      "Group_1  2.603452  2.943614  3.283777\n",
+      "Group_2  4.891511  5.050352  5.209193\n",
+      "Group_3  4.666169  4.862260  5.058352\n"
+     ]
+    }
+   ],
+   "source": [
+    "gate = dml_plr.gate(groups=groups)\n",
+    "ci = gate.confint()\n",
+    "print(ci)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The coefficients of the best linear predictor can be seen via the summary (the values can be accessed through the underlying model ``.blp_model``)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 69,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "             coef   std err          t          P>|t|    [0.025    0.975]\n",
+      "Group_1  2.943614  0.120260  24.477059   2.104694e-87  2.707333  3.179895\n",
+      "Group_2  5.050352  0.090853  55.588066  1.899366e-215  4.871848  5.228856\n",
+      "Group_3  4.862260  0.118686  40.967391  1.902469e-161  4.629072  5.095449\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(gate.summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Remark that the confidence intervals in the summary are slightly smaller, since they are not based on the White's heteroskedasticity robus standard errors."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x750 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "errors = np.full((2, ci.shape[0]), np.nan)\n",
+    "errors[0, :] = ci['effect'] - ci['2.5 %']\n",
+    "errors[1, :] = ci['97.5 %'] - ci['effect']\n",
+    "\n",
+    "#add true effect\n",
+    "ax = plt.subplot(1, 1, 1)\n",
+    "ax.scatter(x=['Group_1', 'Group_2', 'Group_3'], y=true_effects, c='red', label='True Effect')\n",
+    "\n",
+    "plt.errorbar(ci.index, ci.effect, fmt='o', yerr=errors)\n",
+    "plt.title('GATEs')\n",
+    "plt.xlabel('Groups')\n",
+    "_ =  plt.ylabel('Effect and 95%-CI')"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "dml_dev",
+   "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": "3.11.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/doc/examples/py_double_ml_gate_sensitivity.ipynb b/doc/examples/py_double_ml_gate_sensitivity.ipynb
new file mode 100644
index 00000000..ff8e6829
--- /dev/null
+++ b/doc/examples/py_double_ml_gate_sensitivity.ipynb
@@ -0,0 +1,900 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Python: GATE Sensitivity Analysis\n",
+    "\n",
+    "In this simple example, we illustrate how the [DoubleML](https://docs.doubleml.org/stable/index.html) package can be used to perfrom a sensitivity analysis for group average treatment effects in the [DoubleMLIRM](https://docs.doubleml.org/stable/guide/models.html#interactive-regression-model-irm) model.\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 75,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import pandas as pd\n",
+    "import doubleml as dml\n",
+    "\n",
+    "from doubleml.datasets import make_heterogeneous_data\n",
+    "from lightgbm import LGBMRegressor, LGBMClassifier\n",
+    "from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier\n",
+    "from sklearn.linear_model import Lasso, LogisticRegression\n",
+    "\n",
+    "from sklearn.isotonic import IsotonicRegression\n",
+    "from sklearn.base import clone"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "n_obs = 10000\n",
+    "p = 5\n",
+    "\n",
+    "data_dict = make_heterogeneous_data(n_obs, p, binary_treatment=True, n_x=2)\n",
+    "data = data_dict['data']\n",
+    "# add random covariate\n",
+    "data['Z'] = np.random.normal(size=(n_obs, 1))\n",
+    "ite = data_dict['effects']\n",
+    "\n",
+    "group = data['X_0'] >= 0.6"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 77,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "4.471158510805745"
+      ]
+     },
+     "execution_count": 77,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ite.mean()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 78,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== DoubleMLData Object ==================\n",
+      "\n",
+      "------------------ Data summary      ------------------\n",
+      "Outcome variable: y\n",
+      "Treatment variable(s): ['d']\n",
+      "Covariates: ['X_0', 'X_1', 'X_2', 'X_3', 'X_4', 'Z']\n",
+      "Instrument variable(s): None\n",
+      "No. Observations: 10000\n",
+      "\n",
+      "------------------ DataFrame info    ------------------\n",
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 10000 entries, 0 to 9999\n",
+      "Columns: 8 entries, y to Z\n",
+      "dtypes: float64(8)\n",
+      "memory usage: 625.1 KB\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_data = dml.DoubleMLData(data, 'y', 'd')\n",
+    "print(dml_data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 79,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "ml_g = LGBMRegressor()\n",
+    "ml_m = LGBMClassifier()\n",
+    "\n",
+    "#ml_g = RandomForestRegressor()\n",
+    "#ml_m = RandomForestClassifier()\n",
+    "\n",
+    "#ml_g = Lasso()\n",
+    "#ml_m = LogisticRegression()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 80,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "threshold = 0.05\n",
+    "benchmarking_variable = 'Z'\n",
+    "#benchmarking_variable = 'X_4'"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## ATE estimation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 81,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "threshold = 0.05\n",
+    "\n",
+    "dml_irm_obj = dml.DoubleMLIRM(\n",
+    "    dml_data,\n",
+    "    ml_g,\n",
+    "    ml_m,\n",
+    "    n_folds=5,\n",
+    "    n_rep=5,\n",
+    "    trimming_threshold=threshold, \n",
+    "    weights=None)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 82,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err           t  P>|t|   2.5 %    97.5 %\n",
+      "d  4.465126  0.027412  162.889346    0.0  4.4114  4.518853\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.fit()\n",
+    "print(dml_irm_obj.summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 83,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== Sensitivity Analysis ==================\n",
+      "\n",
+      "------------------ Scenario          ------------------\n",
+      "Significance Level: level=0.95\n",
+      "Sensitivity parameters: cf_y=0.03; cf_d=0.03, rho=1.0\n",
+      "\n",
+      "------------------ Bounds with CI    ------------------\n",
+      "   CI lower  theta lower     theta  theta upper  CI upper\n",
+      "d  4.383087     4.428184  4.465126     4.502069  4.547158\n",
+      "\n",
+      "------------------ Robustness Values ------------------\n",
+      "   H_0     RV (%)    RVa (%)\n",
+      "d  0.0  93.524845  93.278662\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_analysis()\n",
+    "print(dml_irm_obj.sensitivity_summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 84,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>cf_y</th>\n",
+       "      <th>cf_d</th>\n",
+       "      <th>rho</th>\n",
+       "      <th>delta_theta</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>d</th>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.008838</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>0.00098</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   cf_y      cf_d  rho  delta_theta\n",
+       "d   0.0  0.008838  1.0      0.00098"
+      ]
+     },
+     "execution_count": 84,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_benchmark(benchmarking_set=[benchmarking_variable])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 85,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "ext_predictions = {\"d\": {}}\n",
+    "ext_predictions[\"d\"][\"ml_m\"] = dml_irm_obj.predictions['ml_m'][:, :, 0]\n",
+    "ext_predictions[\"d\"][\"ml_g0\"] = dml_irm_obj.predictions['ml_g0'][:, :, 0]\n",
+    "ext_predictions[\"d\"][\"ml_g1\"] = dml_irm_obj.predictions['ml_g1'][:, :, 0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 86,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dml_irm_obj = dml.DoubleMLIRM(\n",
+    "    dml_data,\n",
+    "    ml_g,\n",
+    "    ml_m,\n",
+    "    n_folds=5,\n",
+    "    n_rep=5,\n",
+    "    trimming_threshold=threshold, \n",
+    "    weights=None)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "calib_model = IsotonicRegression(y_min=threshold, y_max=1-threshold)\n",
+    "outcome_d = dml_irm_obj._dml_data._d\n",
+    "\n",
+    "calib_ml_m = np.full_like(pred_ml_m, np.nan)\n",
+    "for i in range(pred_ml_m.shape[1]):\n",
+    "    model = clone(calib_model)\n",
+    "    model.fit(pred_ml_m[:, i], outcome_d)\n",
+    "    calib_ml_m[:, i] = model.predict(pred_ml_m[:, i])\n",
+    "\n",
+    "ext_predictions[\"d\"][\"ml_m\"] = calib_ml_m"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 87,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err           t  P>|t|   2.5 %    97.5 %\n",
+      "d  4.465126  0.027412  162.889346    0.0  4.4114  4.518853\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.fit(external_predictions=ext_predictions)\n",
+    "print(dml_irm_obj.summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 88,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== Sensitivity Analysis ==================\n",
+      "\n",
+      "------------------ Scenario          ------------------\n",
+      "Significance Level: level=0.95\n",
+      "Sensitivity parameters: cf_y=0.03; cf_d=0.03, rho=1.0\n",
+      "\n",
+      "------------------ Bounds with CI    ------------------\n",
+      "   CI lower  theta lower     theta  theta upper  CI upper\n",
+      "d  4.383087     4.428184  4.465126     4.502069  4.547158\n",
+      "\n",
+      "------------------ Robustness Values ------------------\n",
+      "   H_0     RV (%)    RVa (%)\n",
+      "d  0.0  93.524845  93.278662\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_analysis()\n",
+    "print(dml_irm_obj.sensitivity_summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 89,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>cf_y</th>\n",
+       "      <th>cf_d</th>\n",
+       "      <th>rho</th>\n",
+       "      <th>delta_theta</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>d</th>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.001088</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>0.003704</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   cf_y      cf_d  rho  delta_theta\n",
+       "d   0.0  0.001088  1.0     0.003704"
+      ]
+     },
+     "execution_count": 89,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_benchmark(benchmarking_set=[benchmarking_variable])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## GATE estimation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 90,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "6.322531621471547\n"
+     ]
+    }
+   ],
+   "source": [
+    "true_group_effect = ite[group].mean()\n",
+    "print(true_group_effect)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 91,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[0.         0.         0.         ... 2.48756219 2.48756219 0.        ]\n"
+     ]
+    }
+   ],
+   "source": [
+    "weights = group.to_numpy() / group.mean()\n",
+    "print(weights)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 92,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dml_irm_obj = dml.DoubleMLIRM(\n",
+    "    dml_data,\n",
+    "    ml_g,\n",
+    "    ml_m,\n",
+    "    n_folds=5,\n",
+    "    n_rep=5,\n",
+    "    trimming_threshold=threshold, \n",
+    "    weights=weights)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 93,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err          t  P>|t|     2.5 %   97.5 %\n",
+      "d  6.295059  0.086007  73.192366    0.0  6.126489  6.46363\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.fit(external_predictions=ext_predictions)\n",
+    "print(dml_irm_obj.summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 94,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>cf_y</th>\n",
+       "      <th>cf_d</th>\n",
+       "      <th>rho</th>\n",
+       "      <th>delta_theta</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>d</th>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.011791</td>\n",
+       "      <td>-1.0</td>\n",
+       "      <td>-0.004441</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   cf_y      cf_d  rho  delta_theta\n",
+       "d   0.0  0.011791 -1.0    -0.004441"
+      ]
+     },
+     "execution_count": 94,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_benchmark(benchmarking_set=[benchmarking_variable])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 95,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== Sensitivity Analysis ==================\n",
+      "\n",
+      "------------------ Scenario          ------------------\n",
+      "Significance Level: level=0.95\n",
+      "Sensitivity parameters: cf_y=0.03; cf_d=0.03, rho=1.0\n",
+      "\n",
+      "------------------ Bounds with CI    ------------------\n",
+      "   CI lower  theta lower     theta  theta upper  CI upper\n",
+      "d  6.094266     6.236329  6.295059      6.35379  6.494681\n",
+      "\n",
+      "------------------ Robustness Values ------------------\n",
+      "   H_0     RV (%)    RVa (%)\n",
+      "d  0.0  92.055234  91.480086\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj.sensitivity_analysis()\n",
+    "print(dml_irm_obj.sensitivity_summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## GATE ATTE"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 96,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "6.302728138378982\n"
+     ]
+    }
+   ],
+   "source": [
+    "group_atte = (data['d'] == 1) * group\n",
+    "print(ite[group_atte].mean())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 97,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "weights_atte = group_atte.to_numpy() / group_atte.mean()\n",
+    "m_0 = ext_predictions[\"d\"][\"ml_m\"]\n",
+    "\n",
+    "weights_bar_atte =  group.to_numpy().reshape(-1,1) * m_0 / group_atte.mean()\n",
+    "weight_dict = {'weights': weights_atte, 'weights_bar': weights_bar_atte}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 98,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dml_irm_obj_atte = dml.DoubleMLIRM(\n",
+    "    dml_data,\n",
+    "    ml_g,\n",
+    "    ml_m,\n",
+    "    n_folds=5,\n",
+    "    n_rep=5,\n",
+    "    trimming_threshold=threshold, \n",
+    "    weights=weight_dict)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err          t  P>|t|     2.5 %    97.5 %\n",
+      "d  6.280159  0.115627  54.313975    0.0  6.053535  6.506784\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj_atte.fit(external_predictions=ext_predictions)\n",
+    "print(dml_irm_obj_atte.summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 100,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>cf_y</th>\n",
+       "      <th>cf_d</th>\n",
+       "      <th>rho</th>\n",
+       "      <th>delta_theta</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>d</th>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.112033</td>\n",
+       "      <td>0.006748</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   cf_y  cf_d       rho  delta_theta\n",
+       "d   0.0   0.0  0.112033     0.006748"
+      ]
+     },
+     "execution_count": 100,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dml_irm_obj_atte.sensitivity_benchmark(benchmarking_set=[benchmarking_variable])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 101,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "================== Sensitivity Analysis ==================\n",
+      "\n",
+      "------------------ Scenario          ------------------\n",
+      "Significance Level: level=0.95\n",
+      "Sensitivity parameters: cf_y=0.03; cf_d=0.03, rho=1.0\n",
+      "\n",
+      "------------------ Bounds with CI    ------------------\n",
+      "   CI lower  theta lower     theta  theta upper  CI upper\n",
+      "d  6.032506     6.224768  6.280159      6.33555  6.523701\n",
+      "\n",
+      "------------------ Robustness Values ------------------\n",
+      "   H_0     RV (%)    RVa (%)\n",
+      "d  0.0  92.782454  91.612626\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj_atte.sensitivity_analysis()\n",
+    "print(dml_irm_obj_atte.sensitivity_summary)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Benchmarking GATE ATTE\n",
+    "\n",
+    "Problem is that usually, we would like to fit\n",
+    "\n",
+    "$$\\bar{\\omega}_{short}(D,X_{long}) = \\mathbb{E}[\\omega(D,X_{long})|X_{short}],$$\n",
+    "\n",
+    "for $X_{short}\\subset X_{long}$, but the implementation will rely on the weight definition of \n",
+    "\n",
+    "$$\\bar{\\omega}_{short}(D,X_{long}) = \\bar{\\omega}(D,X_{long}) = \\mathbb{E}[\\omega(D,X_{long})|X_{long}].$$\n",
+    "\n",
+    "Due to the confounding in the propensity score, this might lead to biased estimates."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 102,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x_list_long = dml_irm_obj_atte._dml_data.x_cols\n",
+    "x_list_short = [x for x in x_list_long if x != benchmarking_variable]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 103,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "learner_weights = clone(ml_m)\n",
+    "X_short = data[x_list_short]\n",
+    "learner_weights.fit(X_short, data['d'])\n",
+    "\n",
+    "weights_bar_atte_2 = group.to_numpy().reshape(-1,1) * learner_weights.predict_proba(X_short)[:,1].reshape(-1, 1) / group_atte.mean()\n",
+    "weight_dict_short = {'weights': weights_atte, 'weights_bar': weights_bar_atte_2}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 104,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dml_data_short = dml.DoubleMLData(data, 'y', 'd', x_cols=x_list_short)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 105,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       coef   std err          t  P>|t|    2.5 %    97.5 %\n",
+      "d  6.275906  0.115092  54.529643    0.0  6.05033  6.501481\n"
+     ]
+    }
+   ],
+   "source": [
+    "dml_irm_obj_short = dml.DoubleMLIRM(\n",
+    "    dml_data_short,\n",
+    "    ml_g,\n",
+    "    ml_m,\n",
+    "    n_folds=5,\n",
+    "    n_rep=1,\n",
+    "    trimming_threshold=threshold, \n",
+    "    weights=weight_dict_short)\n",
+    "\n",
+    "dml_irm_obj_short.fit()\n",
+    "print(dml_irm_obj_short.summary)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 106,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dml_long = dml_irm_obj_atte\n",
+    "dml_short = dml_irm_obj_short\n",
+    "\n",
+    "# save elements for readability\n",
+    "var_y = np.var(dml_long._dml_data.y)\n",
+    "var_y_residuals_long = np.squeeze(dml_long.sensitivity_elements['sigma2'], axis=0)\n",
+    "nu2_long = np.squeeze(dml_long.sensitivity_elements['nu2'], axis=0)\n",
+    "var_y_residuals_short = np.squeeze(dml_short.sensitivity_elements['sigma2'], axis=0)\n",
+    "nu2_short = np.squeeze(dml_short.sensitivity_elements['nu2'], axis=0)\n",
+    "\n",
+    "# compute nonparametric R2\n",
+    "R2_y_long = 1.0 - np.divide(var_y_residuals_long, var_y)\n",
+    "R2_y_short = 1.0 - np.divide(var_y_residuals_short, var_y)\n",
+    "R2_riesz = np.divide(nu2_short, nu2_long)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 107,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Gain statistics\n",
+    "all_cf_y_benchmark = np.clip(np.divide((R2_y_long - R2_y_short), (1.0 - R2_y_long)), 0, 1)\n",
+    "all_cf_d_benchmark = np.clip(np.divide((1.0 - R2_riesz), R2_riesz), 0, 1)\n",
+    "cf_y_benchmark = np.median(all_cf_y_benchmark, axis=0)\n",
+    "cf_d_benchmark = np.median(all_cf_d_benchmark, axis=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 108,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "cf_y_benchmark: [0.00371926]\n",
+      "cf_d_benchmark: [0.]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(f'cf_y_benchmark: {cf_y_benchmark}')\n",
+    "print(f'cf_d_benchmark: {cf_d_benchmark}')"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "dml_dev",
+   "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": "3.11.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/doc/guide/heterogeneity.rst b/doc/guide/heterogeneity.rst
index 6cb0f36a..a73a570a 100644
--- a/doc/guide/heterogeneity.rst
+++ b/doc/guide/heterogeneity.rst
@@ -3,7 +3,7 @@
 Heterogeneous treatment effects
 ----------------------------------------
 
-All implemented solutions focus on the :ref:`IRM <irm-model>` or :ref:`IIVM <iivm-model>` models, as for 
+Most implemented solutions focus on the :ref:`IRM <irm-model>` or :ref:`IIVM <iivm-model>` models, as for 
 the :ref:`PLR <plr-model>` and :ref:`PLIV <pliv-model>` models heterogeneous treatment effects can be usually modelled 
 via feature construction.
 
@@ -13,14 +13,17 @@ via feature construction.
 Group average treatment effects (GATEs)
 ++++++++++++++++++++++++++++++++++++++++++++++
 
-.. include:: ../shared/heterogeneity/gate.rst
-
-The ``DoubleMLIRM`` class contains the ``gate()`` method, which enables the estimation and construction of confidence intervals
-for GATEs after fitting the ``DoubleMLIRM`` object. To estimate GATEs, the user has to specify a pandas ``DataFrame`` containing
+The ``DoubleMLIRM`` and ``DoubleMLPLR`` classes contain the ``gate()`` method, which enables the estimation and construction of confidence intervals
+for GATEs after fitting the ``DoubleML`` object. To estimate GATEs, the user has to specify a pandas ``DataFrame`` containing
 the groups (dummy coded or one column with strings).
 This will construct and fit a ``DoubleMLBLP`` object. Confidence intervals can then be constructed via 
 the ``confint()`` method. Jointly valid confidence intervals will be based on a gaussian multiplier bootstrap.
 
+GATEs for IRM models
+*********************
+
+.. include:: ../shared/heterogeneity/gate.rst
+
 .. tab-set::
 
     .. tab-item:: Python
@@ -52,21 +55,60 @@ the ``confint()`` method. Jointly valid confidence intervals will be based on a
             print(ci)
 
 
-A more detailed notebook on GATEs is available in the :ref:`example gallery <examplegallery>`.
+A more detailed notebook on GATEs with ``DoubleMLIRM`` models is available in the :ref:`example gallery <examplegallery>`.
+
+GATEs for PLR models
+*********************
+
+.. include:: ../shared/heterogeneity/gate_plr.rst
+
+.. tab-set::
+
+    .. tab-item:: Python
+        :sync: py
+
+        .. ipython:: python
+
+            import numpy as np
+            import pandas as pd
+            import doubleml as dml
+            from doubleml.datasets import make_plr_CCDDHNR2018
+            from sklearn.ensemble import RandomForestRegressor
+
+            ml_g = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            ml_m = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            np.random.seed(3333)
+            dml_data = make_plr_CCDDHNR2018(alpha=0.5, n_obs=500, dim_x=20)
+            dml_plr_obj = dml.DoubleMLPLR(dml_data, ml_g, ml_m)
+            _ = dml_plr_obj.fit()
+
+            # define groups
+            np.random.seed(42)
+            groups = pd.DataFrame(np.random.choice(3, 500), columns=['Group'], dtype=str)
+            print(groups.head())
+
+            gate_obj = dml_plr_obj.gate(groups=groups)
+            ci = gate_obj.confint()
+            print(ci)
+
+A more detailed notebook on GATEs with ``DoubleMLPLR`` models is available in the :ref:`example gallery <examplegallery>`.
 
 .. _cates:
 
 Conditional average treatment effects (CATEs)
 ++++++++++++++++++++++++++++++++++++++++++++++
 
-.. include:: ../shared/heterogeneity/cate.rst
-
-The ``DoubleMLIRM`` class contains the ``cate()`` method, which enables the estimation and construction of confidence intervals
-for CATEs after fitting the ``DoubleMLIRM`` object. To estimate CATEs, the user has to specify a pandas ``DataFrame`` containing
+The ``DoubleMLIRM`` and ``DoubleMLPLR`` classes contain the ``cate()`` method, which enables the estimation and construction of confidence intervals
+for CATEs after fitting the ``DoubleML`` object. To estimate CATEs, the user has to specify a pandas ``DataFrame`` containing
 the basis (e.g. B-splines) for the conditional treatment effects.
 This will construct and fit a ``DoubleMLBLP`` object. Confidence intervals can then be constructed via 
 the ``confint()`` method. Jointly valid confidence intervals will be based on a gaussian multiplier bootstrap.
 
+CATEs for IRM models
+*********************
+
+.. include:: ../shared/heterogeneity/cate.rst
+
 .. tab-set::
 
     .. tab-item:: Python
@@ -80,7 +122,7 @@ the ``confint()`` method. Jointly valid confidence intervals will be based on a
 
             import doubleml as dml
             from doubleml.datasets import make_irm_data
-            from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier
+            from sklearn.ensemble import RandomForestRegressor
 
             ml_g = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
             ml_m = RandomForestClassifier(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
@@ -96,13 +138,153 @@ the ``confint()`` method. Jointly valid confidence intervals will be based on a
             print(spline_basis.head())
 
             cate_obj = dml_irm_obj.cate(basis=spline_basis)
-            ci = cate_obj.confint()
+            ci = cate_obj.confint(basis=spline_basis)
             print(ci.head())
 
-
-A more detailed notebook on CATEs is available in the :ref:`example gallery <examplegallery>`. 
+A more detailed notebook on CATEs for ``DoubleMLIRM`` models is available in the :ref:`example gallery <examplegallery>`. 
 The examples also include the construction of a two-dimensional basis with B-splines.
 
+CATEs for PLR models
+*********************
+
+.. include:: ../shared/heterogeneity/cate_plr.rst
+
+.. tab-set::
+
+    .. tab-item:: Python
+        :sync: py
+
+        .. ipython:: python
+
+            import numpy as np
+            import pandas as pd
+            import patsy
+
+            import doubleml as dml
+            from doubleml.datasets import make_plr_CCDDHNR2018
+            from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier
+
+            ml_g = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            ml_m = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            np.random.seed(3333)
+            dml_data = make_plr_CCDDHNR2018(alpha=0.5, n_obs=500, dim_x=20)
+            dml_plr_obj = dml.DoubleMLPLR(dml_data, ml_g, ml_m)
+            _ = dml_plr_obj.fit()
+
+            # define a basis with respect to the first variable
+            design_matrix = patsy.dmatrix("bs(x, df=5, degree=2)", {"x":obj_dml_data.data["X1"]})
+            spline_basis = pd.DataFrame(design_matrix)
+            print(spline_basis.head())
+
+            cate_obj = dml_plr_obj.cate(basis=spline_basis)
+            ci = cate_obj.confint(basis=spline_basis)
+            print(ci.head())
+
+A more detailed notebook on CATEs for ``DoubleMLPLR`` models is available in the :ref:`example gallery <examplegallery>`. 
+
+**Theory:** In the model above, it holds
+
+.. math::
+
+    \mathbb{E}[Y|X] &= \mathbb{E}[\theta_0(X) D|X] + \mathbb{E}[g(X)|X] + \underbrace{\mathbb{E}[\varepsilon|X]}_{=\mathbb{E}[\mathbb{E}[\varepsilon|D, X]|X]=0}\\
+    &=\theta(X) \mathbb{E}[D|X] + g(X)
+
+such that 
+
+.. math::
+
+    \underbrace{Y - \mathbb{E}[Y|X]}_{=:\tilde{Y}} = \theta_0(X) (\underbrace{D - \mathbb{E}[D|X]}_{=:\tilde{D}}) + \varepsilon.
+
+Remark that for the generated :math:`\sigma`-agebras :math:`\sigma(\tilde{D})\subseteq \sigma(D,X)` implying
+
+.. math::
+
+    \mathbb{E}[\epsilon|\tilde{D}] = \mathbb{E}[\mathbb{E}[\epsilon|X, D]|\tilde{D}] = 0
+
+and consequently
+
+.. math::
+
+    \mathbb{E}[\tilde{Y}|\tilde{D}] = \theta(X)\tilde{D}.
+
+Consequently, :math:`\theta_0(X)` can be estimated by regressing :math:`\tilde{Y}` on :math:`\tilde{D}`:
+
+.. math::
+
+    \theta_0(X) = \arg\min_{\theta(X) \in \Theta}\mathbb{E}[(\tilde{Y} - \theta(X)\tilde{D})^2]
+
+The :ref:`DoubleML <doubleml_package>` implementation approximates the effect :math:`\theta(X)` by a linear projection on a supplied basis :math:`\phi(X)`:
+
+.. math::
+
+    \theta_0(X) \approx \beta_0^T \phi(X)
+
+where :math:`\beta_0` are coefficients to be estimated. 
+The coverage of the confidence intervals is meant to include the the approximation :math:`\beta_0^T\phi(X)`.
+
+.. _weighted_cates:
+
+Weighted Average Treatment Effects
++++++++++++++++++++++++++++++++++++
+
+The ``DoubleMLIRM`` class allows to specify weights via the ``weights`` argument in the initialization of the ``DoubleMLIRM`` object.
+Given some weights, :math:`\omega(Y,D,X)` the model identifies the weighted average treatment effect
+
+.. math::
+
+    \theta_0 = \mathbb{E}[(g_0(1,X) - g_0(0,X))\omega(Y,D,X)].
+
+The interpretation depends on the choice of weights. The simplest examples include
+
+- :math:`\omega(Y,D,X) = 1` which corresponds to the average treatment effect (ATE)
+- :math:`\omega(Y,D,X) = \frac{1\{X\in G\}}{P(X\in G)}` which corresponds to the group average treatment effect (GATE) for group :math:`G`
+- :math:`\omega(Y,D,X) = \pi(X)` which corresponds to the average value of policy :math:`\pi`, where :math:`0\le \pi \le 1`
+
+where the weights :math:`\omega(Y,D,X)` only depend on the features :math:`X`.
+
+In these cases the weights can be specified as an array via the ``weights`` argument in the initialization of the ``DoubleMLIRM`` object.
+
+.. tab-set::
+
+    .. tab-item:: Python
+        :sync: py
+
+        .. ipython:: python
+
+            import numpy as np
+            import pandas as pd
+
+            import doubleml as dml
+            from doubleml.datasets import make_irm_data
+            from sklearn.ensemble import RandomForestRegressor
+
+            ml_g = RandomForestRegressor(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            ml_m = RandomForestClassifier(n_estimators=100, max_features=20, max_depth=5, min_samples_leaf=2)
+            np.random.seed(3333)
+            data = make_irm_data(theta=0.5, n_obs=500, dim_x=20, return_type='DataFrame')
+            obj_dml_data = dml.DoubleMLData(data, 'y', 'd')
+            weights = np.ones(500)
+            dml_irm_obj = dml.DoubleMLIRM(obj_dml_data, ml_g, ml_m, weights=weights)
+            _ = dml_irm_obj.fit()
+            print(dml_irm_obj.summary)
+
+If the weights do not only depend on the features :math:`X`, but e.g. also on the treatment :math:`D` estimation becomes more involved.
+To identifiy the correct parameter not only the weights :math:`\omega(Y,D,X)` but also their conditional expectation 
+
+.. math::
+
+    \bar{\omega}(X) = \mathbb{E}[\omega(Y,D,X)|X]
+
+has to be specified. A common example is the average treatment effect on the treated (ATTE) which can be identified by setting
+
+- :math:`\omega(Y,D,X) = \frac{D}{P(D=1)}`
+- :math:`\bar{\omega}(X) = \frac{\mathbb{E}[D|X]}{P(D=1)} = \frac{m_0(X)}{P(D=1)}`
+
+which depends on the propensity score :math:`m_0(X)`. 
+In this case the weights can be specified as a ``dictionary`` the ``weights`` argument in the initialization of the ``DoubleMLIRM`` object.
+
+A more detailed notebook on weighted average treatment effects for on GATE sensitivity analysis is available in the :ref:`example gallery <examplegallery>`. 
+
 .. _qtes:
 
 Quantiles
diff --git a/doc/guide/scores.rst b/doc/guide/scores.rst
index a752787b..7e82b4f9 100644
--- a/doc/guide/scores.rst
+++ b/doc/guide/scores.rst
@@ -564,7 +564,7 @@ the score is estimated with a preliminary estimate :math:`\tilde{\theta}`. For f
 Conditional value at risk (CVaR)
 **********************************
 
-For ``DoubleMLCVAR`` the only valid option is ``score='CVAR'``. For ``treatment=d`` with :math:`d\in\{0,1\}` and
+For ``DoubleMLCVAR`` the only valid option is ``score='CVaR'``. For ``treatment=d`` with :math:`d\in\{0,1\}` and
 a quantile :math:`\tau\in (0,1)` this implements the score function:
 
 .. math::
diff --git a/doc/guide/sensitivity.rst b/doc/guide/sensitivity.rst
index c9d1fa35..594162a5 100644
--- a/doc/guide/sensitivity.rst
+++ b/doc/guide/sensitivity.rst
@@ -416,16 +416,16 @@ In the :ref:`irm-model` the target parameter can be written as
 
 .. math::
 
-    \theta = \mathbb{E}[(g(1,X) - g(0,X))\omega(D,X)]
+    \theta_0 = \mathbb{E}[(g_0(1,X) - g_0(0,X))\omega(Y,D,X)]
 
 where :math:`\omega(D,X)` are weights (e.g. set to :math:`1` for the ATE).
 This implies the following representations
 
 .. math::
 
-    m(W,g) &= \big(g(1,X) - g(0,X))\omega(D,X)
+    m(W,g) &= \big(g(1,X) - g(0,X))\omega(Y,D,X)
 
-    \alpha(W) &= \bigg(\frac{D}{m(X)} - \frac{1-D}{1-m(X)}\bigg)  \mathbb{E}[\omega(D,X)|X].
+    \alpha(W) &= \bigg(\frac{D}{m(X)} - \frac{1-D}{1-m(X)}\bigg)  \mathbb{E}[\omega(Y,D,X)|X].
 
 .. note::
     In the :ref:`irm-model` with the ATE, it holds
@@ -442,19 +442,19 @@ For ``score='ATE'``, the weights are set to one
 
 .. math::
 
-    \omega(D,X) = 1,
+    \omega(Y,D,X) = 1,
 
 wheras for ``score='ATTE'``
 
 .. math::
 
-    \omega(D,X) = \frac{D}{\mathbb{E}[D]},
+    \omega(Y,D,X) = \frac{D}{\mathbb{E}[D]},
 
 such that
 
 .. math::
 
-    \mathbb{E}[\omega(D,X)|X] = \frac{m(X)}{\mathbb{E}[D]}.
+    \mathbb{E}[\omega(Y,D,X)|X] = \frac{m(X)}{\mathbb{E}[D]}.
 
 
 Difference-in-Differences for Panel Data
diff --git a/doc/shared/heterogeneity/cate.rst b/doc/shared/heterogeneity/cate.rst
index 19de7ff7..9348f736 100644
--- a/doc/shared/heterogeneity/cate.rst
+++ b/doc/shared/heterogeneity/cate.rst
@@ -1,7 +1,9 @@
-**Conditional Average Treatment Effects (CATEs)** consider the target parameters
+**Conditional Average Treatment Effects (CATEs)** for ``DoubleMLIRM`` models consider the target parameters
 
 .. math::
 
     \theta_{0}(x) = \mathbb{E}[Y(1) - Y(0)| X=x]
 
-for a low-dimensional feature :math:`X`, where :math:`Y(d)` the potential outcome with :math:`d \in \{0, 1\}`.
\ No newline at end of file
+for a low-dimensional feature :math:`X`, where :math:`Y(d)` the potential outcome with :math:`d \in \{0, 1\}`.
+
+Point estimates and confidence intervals can be obtained via the ``gate()`` and ``confint()`` methods.
\ No newline at end of file
diff --git a/doc/shared/heterogeneity/cate_plr.rst b/doc/shared/heterogeneity/cate_plr.rst
new file mode 100644
index 00000000..2a1a21b0
--- /dev/null
+++ b/doc/shared/heterogeneity/cate_plr.rst
@@ -0,0 +1,12 @@
+**Conditional Average Treatment Effects (CATEs)** for ``DoubleMLPLR`` models consider a slightly adjusted version of the ``DoubleMLPLR`` model. 
+Instead of considering a constant treatment effect :math:`\theta_0` for all observations, the adjusted model allows for a different effect based on groups.
+
+.. math::
+
+    Y = D \theta_0(X) + g_0(X) + \zeta, & &\mathbb{E}(\zeta | D,X) = 0,
+
+    D = m_0(X) + V, & &\mathbb{E}(V | X) = 0,
+
+where :math:`\theta_0(X)` denotes the heterogeneous treatment effect. 
+
+Point estimates and confidence intervals can be obtained via the ``gate()`` and ``confint()`` methods.
\ No newline at end of file
diff --git a/doc/shared/heterogeneity/gate.rst b/doc/shared/heterogeneity/gate.rst
index 4bd1b366..99211c5c 100644
--- a/doc/shared/heterogeneity/gate.rst
+++ b/doc/shared/heterogeneity/gate.rst
@@ -1,7 +1,10 @@
-**Group Average Treatment Effects (GATEs)** consider the target parameters
+**Group Average Treatment Effects (GATEs)** for ``DoubleMLIRM`` models consider the target parameters
 
 .. math::
 
     \theta_{0,k} = \mathbb{E}[Y(1) - Y(0)| G_k],\quad k=1,\dots, K.
 
 where :math:`G_k` denotes a group indicator and :math:`Y(d)` the potential outcome with :math:`d \in \{0, 1\}`.
+
+Point estimates and confidence intervals can be obtained via the ``gate()`` and ``confint()`` methods.
+Remark that for straightforward interpretation, the groups have to be mutually exclusive.
\ No newline at end of file
diff --git a/doc/shared/heterogeneity/gate_plr.rst b/doc/shared/heterogeneity/gate_plr.rst
new file mode 100644
index 00000000..055ff263
--- /dev/null
+++ b/doc/shared/heterogeneity/gate_plr.rst
@@ -0,0 +1,13 @@
+**Group Average Treatment Effects (GATEs)** for ``DoubleMLPLR`` models consider a slightly adjusted version of the ``DoubleMLPLR`` model. 
+Instead of considering a constant treatment effect :math:`\theta_0` for all observations, the adjusted model allows for a different effect based on groups.
+
+.. math::
+
+    Y = D \theta_0(G_k) + g_0(X) + \zeta, & &\mathbb{E}(\zeta | D,X) = 0,
+
+    D = m_0(X) + V, & &\mathbb{E}(V | X) = 0,
+
+where :math:`G_k` for :math:`k=1,\dots, K` denotes a group indicator where the groups can depend on the counfounding features :math:`X`.
+
+Point estimates and confidence intervals can be obtained via the ``gate()`` and ``confint()`` methods.
+Remark that for straightforward interpretation, the groups have to be mutually exclusive.