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diff --git a/DESIGN.html b/DESIGN.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

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diff --git a/_images/ea0fd8d13d0016b4dc85322010212d528571a4398ec407afd26a7caf5263d86d.png b/_images/ea0fd8d13d0016b4dc85322010212d528571a4398ec407afd26a7caf5263d86d.png
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diff --git a/_sources/notebooks/40_LINEAR_MODELS.md b/_sources/notebooks/40_LINEAR_MODELS.md
@@ -14,6 +14,6 @@ to check all the probability calculations for yourself.
 - Multiple linear regression [42_multiple_linear_regression.ipynb](./42_multiple_linear_regression.ipynb)
 - Interpreting linear models [43_interpreting_linear_models.ipynb](./43_interpreting_linear_models.ipynb)
 - Regression with categorical predictors [44_regression_with_categorical_predictors.ipynb](./44_regression_with_categorical_predictors.ipynb)
-- Causal effects and confounders [45_model_selection.ipynb](./45_model_selection.ipynb)
+- Causal inference using linear models [45_causal_inference.ipynb](./45_causal_inference.ipynb)
 - Generalized linear models [46_generalized_linear_models.ipynb](./46_generalized_linear_models.ipynb)
 
diff --git a/_sources/notebooks/45_model_selection.ipynb → _sources/notebooks/45_causal_inference.ipynb b/_sources/notebooks/45_model_selection.ipynb → _sources/notebooks/45_causal_inference.ipynb
diff --git a/_sources/notebooks/50_BAYESIAN_STATS.md b/_sources/notebooks/50_BAYESIAN_STATS.md
@@ -10,4 +10,8 @@ Each notebook contains the code examples from corresponding section in book.
 If you're reading the book, you should follow along by running the commands in the these notebooks,
 to check all the probability calculations for yourself.
 
-
+- Introduction to Bayesian statistics [51_intro_to_Bayesian_stats.ipynb](./51_intro_to_Bayesian_stats.ipynb)
+- Bayesian inference computations [52_Bayesian_inference_computations.ipynb](./52_Bayesian_inference_computations.ipynb)
+- Bayesian difference between means [53_difference_between_means.ipynb](./53_difference_between_means.ipynb)
+- Bayesian linear models [54_Bayesian_linear_models.ipynb](./54_Bayesian_linear_models.ipynb)
+- Hierarchical models [55_hierarchical_models.ipynb](./55_hierarchical_models.ipynb)
diff --git a/_sources/notebooks/README.md b/_sources/notebooks/README.md
@@ -184,13 +184,6 @@ of the [Stats overview](https://nobsstats.com/stats_overview/README.html) tutori
 
 
 
-
-
-
-
-
-
-
 ## Chapter 5: Bayesian statistics
 
 Coming soon.

diff --git a/_sources/notebooks/index.md b/_sources/notebooks/index.md
@@ -184,13 +184,6 @@ of the [Stats overview](https://nobsstats.com/stats_overview/README.html) tutori
 
 
 
-
-
-
-
-
-
-
 ## Chapter 5: Bayesian statistics
 
 Coming soon.

diff --git a/blogposts/README.html b/blogposts/README.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/blogposts/cut_material.html b/blogposts/cut_material.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/blogposts/python_for_stats.html b/blogposts/python_for_stats.html
@@ -225,7 +225,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/blogposts/python_for_stats2.html b/blogposts/python_for_stats2.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/casestudies/README.html b/casestudies/README.html
@@ -222,7 +222,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/datasets/README.html b/datasets/README.html
@@ -222,7 +222,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/datasets/exercises/README.html b/datasets/exercises/README.html
@@ -222,7 +222,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/datasets/index.html b/datasets/index.html
@@ -222,7 +222,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/examples/ANOVA.html b/examples/ANOVA.html
@@ -226,7 +226,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>
@@ -704,10 +704,10 @@ <h2>Equivalence between ANOVA and OLS<a class="headerlink" href="#equivalence-be
   <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   62.07</td>
 </tr>
 <tr>
-  <th>Date:</th>             <td>Tue, 03 Sep 2024</td> <th>  Prob (F-statistic):</th> <td>1.11e-25</td>
+  <th>Date:</th>             <td>Thu, 05 Sep 2024</td> <th>  Prob (F-statistic):</th> <td>1.11e-25</td>
 </tr>
 <tr>
-  <th>Time:</th>                 <td>16:06:59</td>     <th>  Log-Likelihood:    </th> <td> -139.86</td>
+  <th>Time:</th>                 <td>15:44:39</td>     <th>  Log-Likelihood:    </th> <td> -139.86</td>
 </tr>
 <tr>
   <th>No. Observations:</th>      <td>   100</td>      <th>  AIC:               </th> <td>   289.7</td>

diff --git a/examples/Mann-Whitney_U-test.html b/examples/Mann-Whitney_U-test.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>
@@ -717,7 +717,7 @@ <h3>Example 1<a class="headerlink" href="#example-1" title="Permalink to this he
 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;Axes: xlabel=&#39;group&#39;, ylabel=&#39;score&#39;&gt;
 </pre></div>
 </div>
-<img alt="../_images/7545fe8d437a88818ef4d3d5c4831b090df9a143bf5f1a50438c272f8a7d88a2.png" src="../_images/7545fe8d437a88818ef4d3d5c4831b090df9a143bf5f1a50438c272f8a7d88a2.png" />
+<img alt="../_images/dd742a9e9683652dd8405a3a27258a4eac12b5a2c706f7f16ffa8cccc8f4768d.png" src="../_images/dd742a9e9683652dd8405a3a27258a4eac12b5a2c706f7f16ffa8cccc8f4768d.png" />
 </div>
 </div>
 <div class="cell docutils container">

diff --git a/examples/README.html b/examples/README.html
@@ -226,7 +226,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/examples/one_sample_t-test.html b/examples/one_sample_t-test.html
@@ -226,7 +226,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/examples/one_sample_z-test.html b/examples/one_sample_z-test.html
@@ -226,7 +226,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/examples/statistical_design.html b/examples/statistical_design.html
@@ -226,7 +226,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>

diff --git a/examples/two-way_ANOVA.html b/examples/two-way_ANOVA.html
@@ -224,7 +224,7 @@
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/42_multiple_linear_regression.html">Section 4.2 — Multiple linear regression</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/43_interpreting_linear_models.html">Section 4.3 — Interpreting linear models</a></li>
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/44_regression_with_categorical_predictors.html">Section 4.4 — Regression with categorical predictors</a></li>
-<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_model_selection.html">Section 4.5 — Model selection for causal inference</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../notebooks/45_causal_inference.html">Section 4.5 — Model selection for causal inference</a></li>
 
 <li class="toctree-l2"><a class="reference internal" href="../notebooks/46_generalized_linear_models.html">Section 4.6 — Generalized linear models</a></li>
 </ul>