diff --git a/causal-inference-for-the-brave-and-true/01-Introduction-To-Causality.ipynb b/causal-inference-for-the-brave-and-true/01-Introduction-To-Causality.ipynb index fe5cec9..56baddf 100644 --- a/causal-inference-for-the-brave-and-true/01-Introduction-To-Causality.ipynb +++ b/causal-inference-for-the-brave-and-true/01-Introduction-To-Causality.ipynb @@ -2,7 +2,9 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "tags": [] + }, "source": [ "# 01 - Introduction To Causality\n", "\n", @@ -51,12 +53,13 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-03-15T11:20:11.358578Z", "start_time": "2023-03-15T11:20:09.259840Z" }, + "collapsed": true, "jupyter": { "outputs_hidden": true }, @@ -71,8 +74,17 @@ "from scipy.special import expit\n", "import seaborn as sns\n", "from matplotlib import pyplot as plt\n", - "from matplotlib import style\n", - "\n", + "from matplotlib import style" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ "style.use(\"fivethirtyeight\")\n", "\n", "np.random.seed(123)\n", @@ -88,30 +100,245 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": { - "ExecuteTime": { - "end_time": "2023-03-15T11:20:11.468751Z", - "start_time": "2023-03-15T11:20:11.360175Z" - }, - "tags": [ - "hide-input" - ] + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['enem_score', 'Tuition', 'Tablet'], dtype='object')" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Tuition vs Enem Score')\n", + "sns.scatterplot(data=data, x='Tuition', y='enem_score')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# Fit a Regression model to see linear tendency\n", + "from sklearn.linear_model import LinearRegression " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/studio-lab-user/.conda/envs/default/lib/python3.9/site-packages/sklearn/base.py:465: UserWarning: X does not have valid feature names, but LinearRegression was fitted with feature names\n", + " warnings.warn(\n" + ] + } + ], + "source": [ + "lm = LinearRegression()\n", + "lm.fit(data[['enem_score']], data[['Tuition']])\n", + "data['predicted_tuition'] = lm.predict(np.array(data['enem_score']).reshape(-1, 1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's visualize if there's an evident Linear Tendecy" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "tags": [] }, "outputs": [ { "data": { - "image/png": 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", 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\n", 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" ] }, - "metadata": { - "needs_background": "light" + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 8))\n", + "plt.title('Linear Tendency - Enem Score')\n", + "sns.scatterplot(data=data, x='Tuition', y='enem_score', label='data points')\n", + "plt.plot(data['predicted_tuition'], data['enem_score'], color='r', label='Tendency')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now visualize how the enem score and exam tuition relate considering those High Schools with tablets and those that do not " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "data['tablet_label'] = data['Tablet'].map({\n", + " True: \"School w Tablets\",\n", + " False: \"Schools w/o Tablets\"\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] }, + "metadata": {}, "output_type": "display_data" } ], + "source": [ + "plt.figure(figsize=(8, 8))\n", + "plt.title('Tuition vs Enem Score: Does it depend on tablets?')\n", + "sns.scatterplot(data=data, x='Tuition', y='enem_score', hue='tablet_label')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Apparently, there's no evident difference between those schools with Tablets and those that does without, let's fit a Linear Model to see the relation between the Enem Score and the Tuition " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'data_tablets' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_98/3686018396.py\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m plt.plot(\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mdata_tablets\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"predicted_tuition|has tablet\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mdata_tablets\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"enem_score\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"Schools w Tablets\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;31m# Correct label for schools with tablets\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'data_tablets' is not defined" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 8))\n", + "# Visualize Enem Score and Tuition relation dividing between Schools with and without tablets\n", + "\n", + "plt.plot(\n", + " data_tablets[\"predicted_tuition|has tablet\"],\n", + " data_tablets[\"enem_score\"],\n", + " label=\"Schools w Tablets\", # Correct label for schools with tablets\n", + " linestyle=\"--\",\n", + " linewidth=0.4\n", + ")\n", + " \n", + "plt.plot(\n", + " data_no_tablets[\"predicted_tuition|has no tablet\"],\n", + " data_no_tablets[\"enem_score\"],\n", + " label=\"Schools w/o Tablets\", # Correct label for schools without tablets\n", + " linestyle=\"--\",\n", + " linewidth=0.4\n", + ")\n", + "\n", + "plt.title('Enem Score vs Tuition: Does it depend on tablets?')\n", + "sns.scatterplot(data=data, x=\"Tuition\", y=\"enem_score\", hue=\"tablet_label\")\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I observe there is a slight difference in the tendencies, it might be due to the number of samples, or to noise in the data, but it is also probable that the Enem Score is also affected positively by the implementation of tablets. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2023-03-15T11:20:11.468751Z", + "start_time": "2023-03-15T11:20:11.360175Z" + }, + "tags": [] + }, + "outputs": [], "source": [ "plt.figure(figsize=(6,8))\n", "sns.boxplot(y=\"enem_score\", x=\"Tablet\", data=data).set_title('ENEM score by Tablet in Class')\n", @@ -179,7 +406,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2023-03-15T11:20:11.478665Z", @@ -268,7 +495,7 @@ "3 4 700 750 1 750 50" ] }, - "execution_count": 3, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -446,7 +673,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2023-03-15T11:20:11.602399Z", @@ -459,14 +686,12 @@ "outputs": [ { "data": { - "image/png": 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", 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\n", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -573,9 +798,9 @@ "metadata": { "celltoolbar": "Tags", "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "default:Python", "language": "python", - "name": "python3" + "name": "conda-env-default-py" }, "language_info": { "codemirror_mode": { @@ -587,7 +812,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.12" + "version": "3.9.16" }, "toc": { "base_numbering": 1, diff --git a/causal-inference-for-the-brave-and-true/02-Randomised-Experiments.ipynb b/causal-inference-for-the-brave-and-true/02-Randomised-Experiments.ipynb index 267be77..97101f9 100644 --- a/causal-inference-for-the-brave-and-true/02-Randomised-Experiments.ipynb +++ b/causal-inference-for-the-brave-and-true/02-Randomised-Experiments.ipynb @@ -16,11 +16,11 @@ "$\n", "\n", "\n", - "To recap, association becomes causation if there is no bias. There will be no bias if $E[Y_0|T=0]=E[Y_0|T=1]$. In words, association will be causation if the treated and control are equal or comparable, except for their treatment. Or, in more technical words, when the outcome of the untreated is equal to the counterfactual outcome of the treated. Remember that this counterfactual outcome is the outcome of the treated group if they had not received the treatment.\n", + "To recap, association becomes causation if there is no bias. There will be no bias if $E[Y_0|T=0]=E[Y_0|T=1]$. In words, association will be causation if the treated and control are equal or comparable, except for their treatment. Or, in more technical words, when the **outcome of the untreated is equal to the counterfactual outcome of the treated**. Remember that this counterfactual outcome is the outcome of the treated group if they had not received the treatment.\n", "\n", "I think we did an OK job explaining how to make association equal to causation in math terms. But that was only in theory. Now, we look at the first tool we have to make the bias vanish: **Randomised Experiments**. Randomised experiments randomly assign individuals in a population to a treatment or to a control group. The proportion that receives the treatment doesn't have to be 50%. You could have an experiment where only 10% of your samples get the treatment.\n", "\n", - "Randomisation annihilates bias by making the potential outcomes independent of the treatment.\n", + "Randomisation annihilates bias by making **the potential outcomes independent of the treatment**.\n", "\n", "$\n", "(Y_0, Y_1) \\perp\\!\\!\\!\\perp T\n", @@ -28,9 +28,11 @@ "\n", "This can be confusing at first (it was for me). But don't worry, my brave and true fellow, I'll explain it further. If the outcome is independent of the treatment, doesn't this also imply that the treatment has no effect? Well, yes! But notice I'm not talking about the outcomes. Instead, I'm talking about the **potential** outcomes. The potential outcome is how the outcome **would have been** under treatment ($Y_1$) or under control ($Y_0$). In randomized trials, we **don't** want the outcome to be **independent** of the treatment since we think **the treatment causes** the outcome. But we want the **potential** outcomes to be independent of the treatment. \n", "\n", + "My Note -> By \"Potential Outcomes would be the same under treatment or under control\" I understand that The Treatment is supposed to be the same if it is chosen the units of treatment or control (Before The treatment btw) or that the Not Treament is supposed to be the same if the chosen units are the units for treatment or control.\n", + "\n", "![img](./data/img/rct/indep.png)\n", "\n", - "Saying that the potential outcomes are independent of the treatment is saying that they would be, in expectation, the same in the treatment or the control group. In simpler terms, it means that treatment and control groups are comparable. Or that knowing the treatment assignment doesn't give me any information on how the outcome was previous to the treatment. Consequently, $(Y_0, Y_1)\\perp T$ means that the treatment is the only thing generating a difference between the outcome in the treated and in the control group. To see this, notice that independence implies precisely that\n", + "Saying that the potential outcomes are independent of the treatment is saying that they would be, in expectation, the same in the treatment or the control group. In simpler terms, it means that **treatment and control groups are comparable**. Or that knowing the treatment assignment doesn't give me any information on how the outcome was previous to the treatment. Consequently, $(Y_0, Y_1)\\perp T$ means that the treatment is the only thing generating a difference between the outcome in the treated and in the control group. To see this, notice that independence implies precisely that\n", "\n", "$\n", "E[Y_0|T=0]=E[Y_0|T=1]=E[Y_0]\n", @@ -42,6 +44,8 @@ "E[Y|T=1] - E[Y|T=0] = E[Y_1 - Y_0]=ATE\n", "$\n", "\n", + "My Note -> I did not understood the formula above\n", + "\n", "So, randomization gives us a way to use a simple difference in means between treatment and control and call that the treatment effect.\n", "\n", "\n", @@ -224,8 +228,152 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 14, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "data_formatted = data.copy().assign(class_format = np.select(\n", + " [data[\"format_ol\"].astype(bool), data[\"format_blended\"].astype(bool)],\n", + " [\"online\", \"blended\"],\n", + " default=\"face_to_face\"\n", + " ))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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