{ "cells": [ { "cell_type": "markdown", "id": "3ec95fa0-da20-41dc-820e-2f33f262f4e2", "metadata": { "tags": [] }, "source": [ "# Section 4.5 — Model selection for causal inference\n", "\n", "This notebook contains the code examples from [Section 4.5 Model selection for causal inference]() from the **No Bullshit Guide to Statistics**." ] }, { "cell_type": "markdown", "id": "eb4d1856-22a1-4634-87d7-5fc091d93e12", "metadata": { "tags": [] }, "source": [ "#### Notebook setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "bdac2cb5-15a9-4be5-940a-07b0a59b052b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "# Ensure required Python modules are installed\n", "%pip install --quiet numpy scipy seaborn pandas statsmodels ministats" ] }, { "cell_type": "code", "execution_count": 2, "id": "0003a9e7-21c7-47a5-bdec-3bd3ca2a79f4", "metadata": {}, "outputs": [], "source": [ "# Load Python modules\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 3, "id": "8e67e0e7-4f48-4c48-a49d-3cdf22cbd014", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figures setup\n", "plt.clf() # needed otherwise `sns.set_theme` doesn't work\n", "sns.set_theme(\n", " context=\"paper\",\n", " style=\"whitegrid\",\n", " palette=\"colorblind\",\n", " rc={\"font.family\": \"serif\",\n", " \"font.serif\": [\"Palatino\", \"DejaVu Serif\", \"serif\"],\n", " \"figure.figsize\": (7,4)},\n", ")\n", "%config InlineBackend.figure_format = \"retina\"" ] }, { "cell_type": "code", "execution_count": 4, "id": "0245e176-cab4-40a9-bcb7-2d1d3e5cb5ad", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# Simple float __repr__ \n", "if int(np.__version__.split(\".\")[0]) >= 2:\n", " np.set_printoptions(legacy='1.25')" ] }, { "cell_type": "code", "execution_count": 5, "id": "cacc1855-cd3f-49d2-9206-0c44162e4c4b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "datasets/ directory present and ready.\n" ] } ], "source": [ "# Download datasets/ directory if necessary\n", "from ministats import ensure_datasets\n", "ensure_datasets()" ] }, { "cell_type": "markdown", "id": "b8df596c-4dfd-415a-a22d-b37f2942a25d", "metadata": {}, "source": [ "## Definitions" ] }, { "cell_type": "markdown", "id": "77452c0e-4b9b-471d-b0dd-1ecd2e67de91", "metadata": {}, "source": [ "## Causal graphs" ] }, { "cell_type": "markdown", "id": "06145467-f9e4-4d01-90bb-484183b95097", "metadata": {}, "source": [ "### Simple graphs\n", "\n", "![](./attachments/dags/panel_simple_DAGs.png)" ] }, { "cell_type": "markdown", "id": "61ecb58b-cfd1-4e1e-8be7-c3800fe2c02a", "metadata": {}, "source": [ "### More complicated graphs\n", "![](./attachments/dags/panel_elemental_confounds.png)\n" ] }, { "cell_type": "markdown", "id": "7f5fb65e-6e58-4472-a20c-db7e15c59b2f", "metadata": {}, "source": [ "### Unobserved confounder\n", "\n", "" ] }, { "cell_type": "markdown", "id": "7108eace-fc2d-4053-bb9b-85c853e65012", "metadata": {}, "source": [ "## The fork pattern\n", "\n", "![](./attachments/dags/fork_DAG.png)" ] }, { "cell_type": "markdown", "id": "1126e8e5-aaed-46cf-b895-cbfdae4680eb", "metadata": {}, "source": [ "### Example 1: simple fork" ] }, { "cell_type": "markdown", "id": "eeff7cf4-7748-45db-a08b-dbb4f2ebae32", "metadata": {}, "source": [ "Consider a dataset where there is zero causal effect between $X$ and $Y$.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "c2625f86-1343-4154-a668-798d94b2ca7a", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm\n", "np.random.seed(41)\n", "\n", "n = 200\n", "ws = norm(0,1).rvs(n)\n", "xs = 2*ws + norm(0,1).rvs(n)\n", "ys = 0*xs + 3*ws + norm(0,1).rvs(n)\n", "\n", "df1 = pd.DataFrame({\"x\": xs, \"w\": ws, \"y\": ys})" ] }, { "cell_type": "markdown", "id": "6c4d1d4b-079d-44a4-9405-fc8c296147b2", "metadata": {}, "source": [ "First let's fit a native model `y ~ x` to see what happens." ] }, { "cell_type": "code", "execution_count": 7, "id": "15274a48-eb36-4713-ae91-a74bdb2d1e31", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.118596\n", "x 1.268185\n", "dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import statsmodels.formula.api as smf\n", "lm1a = smf.ols(\"y ~ 1 + x\", data=df1).fit()\n", "lm1a.params" ] }, { "cell_type": "code", "execution_count": 8, "id": "5da4890b-8248-40df-9b7b-f5f2cd547bc0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 374, "width": 622 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_reg\n", "plot_reg(lm1a);" ] }, { "cell_type": "markdown", "id": "21f5efae-6db4-49bd-a6e0-d9c2fb092c9a", "metadata": {}, "source": [ "Recall the true strength of the causal association $X \\to Y$ is zero,\n", "so the $\\widehat{\\beta}_{\\tt{x}}=1.268$ is a wrong estimate.\n", "\n", "Now let's fit another model that controls for the common cause $W$,\n", "and thus removes the confounding." ] }, { "cell_type": "code", "execution_count": 9, "id": "895cf01c-7355-4da9-b9f0-82ee3638ab27", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.089337\n", "x 0.077516\n", "w 2.859363\n", "dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm1b = smf.ols(\"y ~ 1 + x + w\", data=df1).fit()\n", "lm1b.params" ] }, { "cell_type": "markdown", "id": "de0db190-f533-4f2b-9149-82793d76edaf", "metadata": {}, "source": [ "The model `lm1b` correctly recovers causal association close to zero." ] }, { "cell_type": "code", "execution_count": 10, "id": "189d9c60-221a-4c67-9465-478bb894f2cd", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 370, "width": 610 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_partreg\n", "plot_partreg(lm1b, pred=\"x\");" ] }, { "cell_type": "markdown", "id": "bf1d0d4c-4eab-4fed-8698-f2258859b3af", "metadata": {}, "source": [ "### Example 2: student's memory capacity\n", "\n", "![](./attachments/dags/score_mem_fork_DAG.png)" ] }, { "cell_type": "code", "execution_count": 11, "id": "6c827eb1-d660-4660-9101-1b7fd79bee97", "metadata": {}, "outputs": [], "source": [ "np.random.seed(43)\n", "\n", "n = 100\n", "mems = norm(5,1).rvs(n)\n", "efforts = 20 - 3*mems + norm(0,1).rvs(n) \n", "scores = 10*mems + 2*efforts + norm(0,1).rvs(n)\n", "\n", "df2 = pd.DataFrame({\"mem\": mems,\n", " \"effort\": efforts,\n", " \"score\": scores})" ] }, { "cell_type": "markdown", "id": "c3e9b18e-b913-4d92-a1ae-813cc62d6e1e", "metadata": {}, "source": [ "First let's fit a model that doesn't account for the common cause. " ] }, { "cell_type": "code", "execution_count": 12, "id": "51704e3b-ed87-41d0-9f28-18d3d9f4cd68", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 64.275333\n", "effort -0.840428\n", "dtype: float64" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2a = smf.ols(\"score ~ 1 + effort\", data=df2).fit()\n", "lm2a.params" ] }, { "cell_type": "markdown", "id": "c5db6fb8-7816-456d-bf0c-77e6ed377f91", "metadata": {}, "source": [ "We see a negative effect $\\widehat{\\beta}_{\\tt{effort}}=-0.84$,\n", "the true effect is $+2$.\n", "\n", "Now we fit a model that includes `mem`, i.e., we control for the common cause confounder." ] }, { "cell_type": "code", "execution_count": 13, "id": "e6bb809a-c96e-4177-90ea-943a5035e066", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 2.650981\n", "effort 1.889825\n", "mem 9.568862\n", "dtype: float64" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2b = smf.ols(\"score ~ 1 + effort + mem\", data=df2).fit()\n", "lm2b.params" ] }, { "cell_type": "markdown", "id": "afc61702-d437-41f8-af66-3fa6432affbc", "metadata": {}, "source": [ "The model `lm2b` correctly recovers causal association $1.89$,\n", "which is close to the true value $2$." ] }, { "cell_type": "markdown", "id": "330c26a6-fb1e-4c32-adfd-4a202acf8574", "metadata": {}, "source": [ "### Benefits of random assignment\n", "\n", "TODO explain\n", "\n", "![Randomly assigned effort](./attachments/dags/score_mem_fork_randomized_effort_DAG.png)" ] }, { "cell_type": "markdown", "id": "ec8cb0c0-d617-4f69-83dc-117c7eb88d0d", "metadata": {}, "source": [ "### Example 2R: random assignment of the effort variable" ] }, { "cell_type": "markdown", "id": "2d38c7e7-f8ed-4f6d-b5f8-e84247918dcf", "metadata": {}, "source": [ "Suppose students are randomly assigned into a low effort (5h/week)\n", "and high effort (15h/week) groups by flipping a coin." ] }, { "cell_type": "code", "execution_count": 14, "id": "694db67d-0a03-4b38-b327-cb2a8b10e5c4", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import bernoulli\n", "np.random.seed(47)\n", "\n", "n = 300\n", "mems = norm(5,1).rvs(n)\n", "coins = bernoulli(p=0.5).rvs(n)\n", "efforts = 5*coins + 15*(1-coins)\n", "scores = 10*mems + 2*efforts + norm(0,1).rvs(n)\n", "\n", "df2r = pd.DataFrame({\"mem\": mems,\n", " \"effort\": efforts,\n", " \"score\": scores})" ] }, { "cell_type": "markdown", "id": "84fffc47-c761-4abd-b5a2-150b48a8db7e", "metadata": {}, "source": [ "The effect of the random assignment is to decouple `effort` from `mem`,\n", "thus removing the association,\n", "as we can see if we compare the correlations in the original dataset `df2`\n", "and the randomized dataset `df2r`." ] }, { "cell_type": "code", "execution_count": 15, "id": "add10b74-5292-4bab-b61e-4a6e19da4065", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.9452404905554658, 0.03700564639546951)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# non-randomized # with random assignment\n", "df2.corr()[\"mem\"][\"effort\"], df2r.corr()[\"mem\"][\"effort\"]" ] }, { "cell_type": "markdown", "id": "298b855b-5d21-4e50-a748-26c4088483be", "metadata": {}, "source": [ "Randomization allows us to recover the correct estimate,\n", "even without including the common cause." ] }, { "cell_type": "code", "execution_count": 16, "id": "e189602e-15a8-4012-b112-f2fcb0d720fb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 49.176242\n", "effort 2.077639\n", "dtype: float64" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2r = smf.ols(\"score ~ 1 + effort\", data=df2r).fit()\n", "lm2r.params" ] }, { "cell_type": "markdown", "id": "b7994046-eb5e-4f8b-8f46-250920380053", "metadata": {}, "source": [ "Note we can also including `mem` in the model,\n", "and that doesn't hurt." ] }, { "cell_type": "code", "execution_count": 17, "id": "5fc8d47a-7f9a-40f3-9087-51534b5e7574", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.343982\n", "effort 2.002295\n", "mem 10.063906\n", "dtype: float64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2rm = smf.ols(\"score ~ 1 + effort + mem\", data=df2r).fit()\n", "lm2rm.params" ] }, { "cell_type": "markdown", "id": "0c921f7b-96a8-4ef3-af42-ba7c7717cb56", "metadata": {}, "source": [ "## The pipe pattern\n", "\n", "![](./attachments/dags/pipe_DAG.png)" ] }, { "cell_type": "markdown", "id": "6391b59f-f1e2-4856-8c95-40d781cf8962", "metadata": {}, "source": [ "### Example 3: simple pipe" ] }, { "cell_type": "code", "execution_count": 18, "id": "b51456f0-226f-456a-b3ad-fd6d829ab67d", "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "\n", "n = 300\n", "xs = norm(0,1).rvs(n)\n", "ms = xs + norm(0,1).rvs(n)\n", "ys = ms + norm(0,1).rvs(n)\n", "\n", "df3 = pd.DataFrame({\"x\": xs, \"m\": ms, \"y\": ys})" ] }, { "cell_type": "markdown", "id": "3e00f2ca-7912-4ef3-b2f5-011c81d80c1b", "metadata": {}, "source": [ "First we fit the model `y ~ 1 + x` that doesn't include the variable $M$,\n", "which is the correct thing to do." ] }, { "cell_type": "code", "execution_count": 19, "id": "3a6c161a-eca6-4761-8386-1d0bbea3ceaf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.060272\n", "x 0.922122\n", "dtype: float64" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm3a = smf.ols(\"y ~ 1 + x\", data=df3).fit()\n", "lm3a.params" ] }, { "cell_type": "code", "execution_count": 20, "id": "dcd6caa5-b9a2-4294-8967-f25e42290496", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 370, "width": 606 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_reg\n", "plot_reg(lm3a);" ] }, { "cell_type": "markdown", "id": "ecdbdd09-7519-4353-9af3-54b31fcf9e44", "metadata": {}, "source": [ "However,\n", "if we were choose to include $M$ in the model,\n", "we get a completely different result." ] }, { "cell_type": "code", "execution_count": 21, "id": "00a08221-ec97-404b-bf5b-c352d709a752", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.081242\n", "x -0.005561\n", "m 0.965910\n", "dtype: float64" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm3b = smf.ols(\"y ~ 1 + x + m\", data=df3).fit()\n", "lm3b.params" ] }, { "cell_type": "code", "execution_count": 22, "id": "88d4b8ce-39cd-421c-a7b3-8c735177346c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 370, "width": 608 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_partreg\n", "plot_partreg(lm3b, pred=\"x\");" ] }, { "cell_type": "code", "execution_count": 23, "id": "8af883ae-aa82-4e64-89d3-a12edbb5287c", "metadata": {}, "outputs": [], "source": [ "# ALT\n", "# from statsmodels.graphics.api import plot_partregress\n", "# with plt.rc_context({\"figure.figsize\":(3, 2.5)}):\n", "# plot_partregress(\"y\", \"x\", exog_others=[\"m\"], data=df3, obs_labels=False)\n", "# ax = plt.gca()\n", "# ax.set_title(\"Partial regression plot\")\n", "# ax.set_xlabel(\"e(x | m)\")\n", "# ax.set_ylabel(\"e(y | m)\")" ] }, { "cell_type": "code", "execution_count": 24, "id": "d7b675cd-b3b6-4b9c-9301-00e66bff8585", "metadata": {}, "outputs": [], "source": [ "# # OLD ALT. using plot_lm_partial not a good plot,\n", "# # since it still shows the trend\n", "# from ministats import plot_lm_partial\n", "# sns.scatterplot(data=df3, x=\"x\", y=\"y\")\n", "# plot_lm_partial(lm3b, \"x\")" ] }, { "cell_type": "markdown", "id": "13c5644f-4eef-48af-bcbb-707b40bb202c", "metadata": {}, "source": [ "### Example 4: student competency as a mediator\n", "\n", "Students `score` as a function of `effort`.\n", "We assume the final scores for the course was mediated through improvements in competency with the material (`comp`).\n", "\n", "![](./attachments/dags/score_comp_pipe_DAG.png)" ] }, { "cell_type": "code", "execution_count": 25, "id": "7467b364-9aa4-441e-8d8f-f05e326de66f", "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "\n", "n = 200\n", "efforts = norm(9,2).rvs(n)\n", "comps = 2*efforts + norm(0,1).rvs(n)\n", "scores = 3*comps + norm(0,1).rvs(n)\n", "\n", "df4 = pd.DataFrame({\"effort\": efforts,\n", " \"comp\": comps,\n", " \"score\": scores})" ] }, { "cell_type": "markdown", "id": "4eb66f01-a163-4d18-85d8-3a1a388f45fe", "metadata": {}, "source": [ "The causal graph in this situation is an instance of the mediator pattern,\n", "so the correct modelling decision is not to include the `comp` variable,\n", "which allows us to recover the correct parameter." ] }, { "cell_type": "code", "execution_count": 26, "id": "ac058c75-bf49-4cb7-9bbd-d4d7ac50daf7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.538521\n", "effort 6.079663\n", "dtype: float64" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm4a = smf.ols(\"score ~ 1 + effort\", data=df4).fit()\n", "lm4a.params" ] }, { "cell_type": "markdown", "id": "7fb0c0fc-4a57-4fba-a639-fb3636664754", "metadata": {}, "source": [ "However,\n", "if we make the mistake of including the variable `comp` in the model,\n", "we will obtain a zero parameter for the effort,\n", "which is a wrong conclusion." ] }, { "cell_type": "code", "execution_count": 27, "id": "faf600f7-6549-424e-8b6e-f4ad018cd891", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.545934\n", "effort -0.030261\n", "comp 2.979818\n", "dtype: float64" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm4b = smf.ols(\"score ~ 1 + effort + comp\", data=df4).fit()\n", "lm4b.params" ] }, { "cell_type": "markdown", "id": "182c5e96-5989-470b-825f-884254923a71", "metadata": {}, "source": [ "It even appears that effort has a small negative effect." ] }, { "cell_type": "markdown", "id": "a44fdcbb-15ac-49f0-b74e-6f2748affc24", "metadata": {}, "source": [ "## The collider pattern\n", "\n", "![](./attachments/dags/collider_DAG.png)" ] }, { "cell_type": "markdown", "id": "f9b9d7ca-acdf-4841-87e1-8d7a57260881", "metadata": {}, "source": [ "### Example 5: simple collider" ] }, { "cell_type": "code", "execution_count": 28, "id": "a2aa4835-1327-4078-9665-7c6d11bd3a2f", "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "\n", "n = 300\n", "xs = norm(0,1).rvs(n)\n", "ys = norm(0,1).rvs(n)\n", "zs = (xs + ys >= 1.7).astype(int)\n", "\n", "df5 = pd.DataFrame({\"x\": xs, \"y\": ys, \"z\": zs})" ] }, { "cell_type": "markdown", "id": "f73bf1c3-b3a2-45a1-b6f7-0de41d41a3fc", "metadata": {}, "source": [ "Note `y` is completely independent of `x`.\n", "And if we were to fit the model `y ~ x` we get the correct result." ] }, { "cell_type": "code", "execution_count": 29, "id": "14f54aa4-6862-49db-8f94-2cc02a24bd3f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.021710\n", "x -0.039576\n", "dtype: float64" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm5a = smf.ols(\"y ~ 1 + x\", data=df5).fit()\n", "lm5a.params" ] }, { "cell_type": "code", "execution_count": 30, "id": "8e578a6b-d01a-443f-8021-d77b26b5c085", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 370, "width": 607 } }, "output_type": "display_data" } ], "source": [ "plot_reg(lm5a);" ] }, { "cell_type": "markdown", "id": "9135c92c-b478-4dd1-a2e5-2f7879860054", "metadata": {}, "source": [ "Including $Z$ in the model incorrectly shows $X \\to Y$ association." ] }, { "cell_type": "code", "execution_count": 31, "id": "cd220be4-fa44-4462-aa0c-775c2d7e0d98", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.170415\n", "x -0.244277\n", "z 1.639660\n", "dtype: float64" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm5b = smf.ols(\"y ~ 1 + x + z\", data=df5).fit()\n", "lm5b.params" ] }, { "cell_type": "code", "execution_count": 32, "id": "8826562b-bf2f-44b8-a48a-8201de0129c1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 370, "width": 608 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_partreg\n", "plot_partreg(lm5b, pred=\"x\");" ] }, { "cell_type": "markdown", "id": "ceb431ea-ebdb-4468-91dc-358363bff98f", "metadata": {}, "source": [ "### Example 6: student GPA as a collider\n", "\n", "![](./attachments/dags/score_gpa_collider_DAG.png)" ] }, { "cell_type": "code", "execution_count": 33, "id": "3d0ce7f9-9e79-4caa-bab2-b05db6e40446", "metadata": {}, "outputs": [], "source": [ "np.random.seed(46)\n", "\n", "n = 300\n", "efforts = norm(9,2).rvs(n)\n", "scores = 5*efforts + norm(10,10).rvs(n)\n", "gpas = 0.1*efforts + 0.02*scores + norm(0.6,0.3).rvs(n)\n", "\n", "df6 = pd.DataFrame({\"effort\": efforts,\n", " \"score\": scores,\n", " \"gpa\": gpas})" ] }, { "cell_type": "markdown", "id": "42c8e04b-cad9-4e66-b96e-d6238b2cc97b", "metadata": {}, "source": [ "When we don't adjust for the collider `gpa`,\n", "we obtain the correct effect of effort on scores." ] }, { "cell_type": "code", "execution_count": 34, "id": "64ad6843-ac55-4253-b9c7-706c3a4df964", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 12.747478\n", "effort 4.717006\n", "dtype: float64" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm6a = smf.ols(\"score ~ 1 + effort\", data=df6).fit()\n", "lm6a.params" ] }, { "cell_type": "markdown", "id": "da754ea9-9484-4c34-80e4-4e52e64e144f", "metadata": {}, "source": [ "But with adjustment for `gpa` reduces the effect significantly." ] }, { "cell_type": "code", "execution_count": 35, "id": "9961633a-bab6-4ae4-98f9-31982d266880", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 1.464950\n", "effort 1.177600\n", "gpa 16.624215\n", "dtype: float64" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm6b = smf.ols(\"score ~ 1 + effort + gpa\", data=df6).fit()\n", "lm6b.params" ] }, { "cell_type": "markdown", "id": "16b7e982-d3a1-49c2-a297-cdb86973b0c6", "metadata": {}, "source": [ "### Selection bias as a collider\n", "\n", "https://en.wikipedia.org/wiki/Berkson's_paradox\n" ] }, { "cell_type": "markdown", "id": "fd5a94c8-b4ee-4a1d-a763-a14c43d204d6", "metadata": {}, "source": [ "### Example 6SB: selection bias" ] }, { "cell_type": "markdown", "id": "c6772840-6847-41c6-81e3-846d577c0623", "metadata": {}, "source": [ "Suppose the study was conducted only on students who obtained an `award`,\n", "which is given to students with GPA 3.4 or greater.\n", "\n", "![ ](./attachments/dags/score_award_selection_bias_DAG.png)" ] }, { "cell_type": "code", "execution_count": 36, "id": "364251bb-8a92-4015-ab8f-89c6322b90be", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 78.588495\n", "effort -0.126503\n", "dtype: float64" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df6sb = df6[df6[\"gpa\"]>=3.4]\n", "lm6sb = smf.ols(\"score ~ 1 + effort\", data=df6sb).fit()\n", "lm6sb.params" ] }, { "cell_type": "markdown", "id": "f66f34cc-bdbb-4600-8a5f-feefb72135ac", "metadata": {}, "source": [ "A negative causal association appears,\n", "which is very misleading." ] }, { "cell_type": "markdown", "id": "de53b9d9-61b0-47e3-a25b-8c70ff084b91", "metadata": {}, "source": [ "## Explanations" ] }, { "cell_type": "markdown", "id": "39571926-1fac-4dbf-8b4e-152fa7220dfb", "metadata": {}, "source": [ "### Backdoor path criterion" ] }, { "cell_type": "markdown", "id": "b8e39980-51d5-408a-9f71-6216afeb8c0b", "metadata": {}, "source": [ "#### Revisiting the three patterns" ] }, { "cell_type": "markdown", "id": "dfa6cbe2-9462-4cdf-8e5e-30fdb7da583e", "metadata": {}, "source": [ "#### Examples of more complicated graphs" ] }, { "cell_type": "markdown", "id": "a63c1863-5f20-429c-afcd-dea0ac49d3ad", "metadata": {}, "source": [ "##### (a) Pipe and fork\n", "\n", "Summary:\n", "- confounder of the mediator $M$ also confounds $X$ and $Y$\n", "- unadjusted estimate is biased\n", "- adjusting for $Z$ blocks backdoor path\n", "- $Z$ is a ***good*** control" ] }, { "cell_type": "code", "execution_count": 37, "id": "3575d937-c320-44c4-ab04-c5b071835987", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept -0.034927\n", "x 1.458856\n", "dtype: float64\n", "Intercept -0.008234\n", "x 0.932850\n", "w 1.072638\n", "dtype: float64\n" ] } ], "source": [ "from scipy.stats import norm\n", "\n", "np.random.seed(42)\n", "\n", "n = 1000\n", "ws = norm(0,1).rvs(n)\n", "xs = ws + norm(0,1).rvs(n)\n", "ms = xs + ws + norm(0,1).rvs(n)\n", "ys = ms + norm(0,1).rvs(n)\n", "dfa = pd.DataFrame({\"w\":ws, \"x\":xs, \"m\":ms, \"y\":ys})\n", "\n", "# unadjusted estimate is confounded\n", "lma_unadj = smf.ols(\"y ~ 1 + x\", data=dfa).fit()\n", "print(lma_unadj.params)\n", "\n", "# adjusting for W recovers the causal effect\n", "lma_adj = smf.ols(\"y ~ 1 + x + w\", data=dfa).fit()\n", "print(lma_adj.params)" ] }, { "cell_type": "markdown", "id": "bfbc2004-e71a-407e-90e3-14e095037b11", "metadata": {}, "source": [ "##### (b) M-bias example\n", "\n", "Summary:\n", "- although $Z$ is a pre-treament variable, as well as correlated both with $X$ and $Y$,\n", " it is *not* a confounder\n", "- unadjusted estimate is unbiased\n", "- adjusting for $Z$ *opens* the colliding path $X \\leftarrow P \\rightarrow Z \\leftarrow Q \\rightarrow Y$\n", "- $Z$ is a ***bad*** control" ] }, { "cell_type": "code", "execution_count": 38, "id": "a77af7e0-d744-4c86-ad09-c82ed268d6b1", "metadata": { "papermill": { "duration": 0.395707, "end_time": "2022-02-12T19:50:37.800018", "exception": false, "start_time": "2022-02-12T19:50:37.404311", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept -0.205050\n", "x 0.964068\n", "dtype: float64\n", "Intercept -0.171269\n", "x 1.720329\n", "z -1.592446\n", "dtype: float64\n" ] } ], "source": [ "# simulate data (linear model)\n", "np.random.seed(47)\n", "\n", "n = 1000\n", "ps = norm(0,1).rvs(n)\n", "qs = norm(0,1).rvs(n)\n", "zs = ps + qs + norm(0,1).rvs(n)\n", "xs = ps + norm(0,1).rvs(n)\n", "ys = xs - 4*qs + norm(0,1).rvs(n)\n", "dfb = pd.DataFrame({\"x\":xs, \"p\":ps, \"q\":qs, \"z\":zs, \"y\":ys})\n", "\n", "# unadjusted estimate is *not* confounded!\n", "lmb_unadj = smf.ols(\"y ~ 1 + x\", data=dfb).fit()\n", "print(lmb_unadj.params)\n", "\n", "# adjusting for Z induces bias!\n", "lmb_adj = smf.ols(\"y ~ 1 + x + z\", data=dfb).fit()\n", "print(lmb_adj.params)" ] }, { "cell_type": "markdown", "id": "c112fc3a-bafa-4604-9c83-2ca2bb16551d", "metadata": {}, "source": [ "##### (c) Indirect confounder\n" ] }, { "cell_type": "code", "execution_count": 39, "id": "b46e8194-8d3a-403b-8763-b6d2f8127ba0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept -0.134730\n", "x 0.487507\n", "dtype: float64\n", "Intercept -0.083954\n", "x 1.014572\n", "w -1.068072\n", "dtype: float64\n" ] } ], "source": [ "np.random.seed(47)\n", "\n", "n = 1000\n", "ws = norm(0,1).rvs(n)\n", "vs = ws + norm(0,1).rvs(n)\n", "xs = ws + norm(0,1).rvs(n)\n", "ys = xs - vs + norm(0,1).rvs(n)\n", "dfc = pd.DataFrame({\"x\":xs, \"v\":vs, \"w\":ws, \"y\":ys})\n", "\n", "# unadjusted estimate is confounded\n", "lmc_unadj = smf.ols(\"y ~ 1 + x\", data=dfc).fit()\n", "print(lmc_unadj.params)\n", "\n", "# adjusting for W (or V) recovers the causal effect\n", "lmc_adj = smf.ols(\"y ~ 1 + x + w\", data=dfc).fit()\n", "print(lmc_adj.params)" ] }, { "cell_type": "markdown", "id": "fb523c91-eb4e-4f89-af3b-eb915e8b2858", "metadata": {}, "source": [ "### Three different goals when building models" ] }, { "cell_type": "markdown", "id": "1e86f306-b29f-4472-b60b-ae97b086a9b3", "metadata": {}, "source": [ "### The Table 2 fallacy" ] }, { "cell_type": "markdown", "id": "3c384d7e-8216-48ab-8d5a-c06fffc620b7", "metadata": {}, "source": [ "## Case study: smoking and lung function in teens\n", "\n" ] }, { "cell_type": "code", "execution_count": 40, "id": "9d5550a0-fb3a-46a6-80d5-3243a7ddd8b2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " age fev height sex smoke\n", "651 18 2.853 60.0 F NS\n", "652 16 2.795 63.0 F SM\n", "653 15 3.211 66.5 F NS\n" ] } ], "source": [ "smokefev = pd.read_csv(\"datasets/smokefev.csv\")\n", "print(smokefev.tail(3))" ] }, { "cell_type": "code", "execution_count": 41, "id": "0f23bae7-f33e-41fb-86d2-6fa639b526b7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " age fev height\n", "count 654.000 654.000 654.000\n", "mean 9.931 2.637 61.144\n", "std 2.954 0.867 5.704\n", "min 3.000 0.791 46.000\n", "25% 8.000 1.981 57.000\n", "50% 10.000 2.548 61.500\n", "75% 12.000 3.118 65.500\n", "max 19.000 5.793 74.000\n" ] } ], "source": [ "print(smokefev.describe().round(3))" ] }, { "cell_type": "code", "execution_count": 42, "id": "c2e484c0-606d-4f36-938f-962277675918", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "smoke\n", "NS 2.566143\n", "SM 3.276862\n", "Name: fev, dtype: float64" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smokefev.groupby(\"smoke\")[\"fev\"].mean()" ] }, { "cell_type": "code", "execution_count": 43, "id": "6716f833-53a2-4aaa-991b-b38e7afede17", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7107189238605196" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "meanSM = smokefev[smokefev[\"smoke\"]==\"SM\"][\"fev\"].mean()\n", "meanNS = smokefev[smokefev[\"smoke\"]==\"NS\"][\"fev\"].mean()\n", "meanSM - meanNS" ] }, { "cell_type": "code", "execution_count": 44, "id": "54b3f2fe-aa6c-48a9-a11c-80114f8280a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 372, "width": 599 } }, "output_type": "display_data" } ], "source": [ "sns.boxplot(x=\"sex\", y=\"fev\", hue=\"smoke\", data=smokefev);" ] }, { "cell_type": "code", "execution_count": 45, "id": "7c9d6978-d893-4e5b-b1f1-7fccd44ef499", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 372, "width": 599 } }, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=smokefev, x=\"age\", y=\"fev\",\n", " style=\"smoke\", hue=\"smoke\",\n", " markers=[\"X\",\"o\"], alpha=0.5);" ] }, { "cell_type": "markdown", "id": "25720a80-9601-4ed8-a1eb-5b10b90c50d2", "metadata": {}, "source": [ "### Fit the unadjusted model" ] }, { "cell_type": "code", "execution_count": 46, "id": "1531fc7f-6d7e-41a5-93cc-eb8e4087cf14", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 2.566143\n", "C(smoke)[T.SM] 0.710719\n", "dtype: float64" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "formula_unadj = \"fev ~ 1 + C(smoke)\"\n", "lmfev_unadj = smf.ols(formula_unadj, data=smokefev).fit()\n", "lmfev_unadj.params" ] }, { "cell_type": "markdown", "id": "e3107c81-6bc2-4181-8d75-683e6df5d9aa", "metadata": {}, "source": [ "The parameter estimate $\\widehat{\\beta}_{\\texttt{smoke}}$\n", "we obtain from the unadjusted model echoes the simple difference in means we calculated earlier.\n", "Any negative effect of `smoke` on `fev` is drowned by the confounding variable `age`,\n", "which is positively associated with both `smoke` and `fev`." ] }, { "cell_type": "markdown", "id": "94f54f7c-127e-42b2-aedb-0df67cf3d6a8", "metadata": {}, "source": [ "### Draw a causal graphs" ] }, { "cell_type": "markdown", "id": "184efe3f-1469-4ecb-991a-457253f235ed", "metadata": {}, "source": [ "![Filled in causal graph for the students smoking affect FEV.](./attachments/lm/age_sex_smoke_height_fev_DAG.png)" ] }, { "cell_type": "markdown", "id": "8e6669b8-d5a3-4cda-b39d-d9b250be6eaa", "metadata": {}, "source": [ "### Fit the adjusted model" ] }, { "cell_type": "code", "execution_count": 47, "id": "8acc8bea-fa05-44eb-89d5-77ae32429324", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.237771\n", "C(smoke)[T.SM] -0.153974\n", "C(sex)[T.M] 0.315273\n", "age 0.226794\n", "dtype: float64" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "formula_adj = \"fev ~ 1 + C(smoke) + C(sex) + age\"\n", "lmfev_adj = smf.ols(formula_adj, data=smokefev).fit()\n", "lmfev_adj.params" ] }, { "cell_type": "markdown", "id": "80984ecc-46f5-474f-8698-e5639873d037", "metadata": {}, "source": [ "The interpretation of $\\widehat{\\beta}_{\\texttt{smoke}} = -0.153974$ is that,\n", "according to the adjusted model,\n", "smoking decreases your FEV by $0.153974$ litres on average." ] }, { "cell_type": "markdown", "id": "81bd2de5-f440-41b1-873f-6de63de95007", "metadata": {}, "source": [ "#### Practical significance" ] }, { "cell_type": "markdown", "id": "2e00b6da-6863-4451-a54e-9fa8c91a3ff3", "metadata": {}, "source": [ "To better understand the real-world effect of smoking,\n", "let's think about two 15 year old females:\n", "one who smokes and the other who doesn't.\n", "\n", "For the 15 year old nonsmoking female, the expected mean FEV is:" ] }, { "cell_type": "code", "execution_count": 48, "id": "ed48f9e5-e721-4089-98e3-ff224913d82e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.6396839416862914" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nonsmoker15F = {\"age\":15, \"sex\":\"F\", \"smoke\":\"NS\"}\n", "fevNS = lmfev_adj.predict(nonsmoker15F)[0]\n", "fevNS" ] }, { "cell_type": "markdown", "id": "40e53653-1162-403a-a945-99049e1e1bea", "metadata": {}, "source": [ "For a 15 year old, smoking female, the expected mean FEV is:" ] }, { "cell_type": "code", "execution_count": 49, "id": "1ec6c012-b109-4c49-a8ca-31222184d85f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.4857098266910547" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smoker15F = {\"age\":15, \"sex\":\"F\", \"smoke\":\"SM\"}\n", "fevSM = lmfev_adj.predict(smoker15F)[0]\n", "fevSM" ] }, { "cell_type": "markdown", "id": "f02e5ff8-2fd3-4aa4-9d21-2983b5639555", "metadata": {}, "source": [ "The relative reduction in FEV is:" ] }, { "cell_type": "code", "execution_count": 50, "id": "3f2c2255-2d68-43c3-bf42-31e422383f74", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04230425428750262" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(fevNS - fevSM) / fevNS" ] }, { "cell_type": "markdown", "id": "519aa84f-f7eb-46ee-8ba0-c0ecf62eceef", "metadata": {}, "source": [ "A $4.2\\%$ reduction in FEV is practically significant,\n", "and definitely worth avoiding, especially at this early age." ] }, { "cell_type": "markdown", "id": "77d4c9a3-6e42-4ce1-835c-9159754ab653", "metadata": {}, "source": [ "## Discussion" ] }, { "cell_type": "markdown", "id": "c61c9943-87cf-4e00-acc8-f745e52854d1", "metadata": {}, "source": [ "### Metrics-based variable selection" ] }, { "cell_type": "code", "execution_count": 51, "id": "ad86db88-2d9f-4a6a-a830-96c4264c8b41", "metadata": {}, "outputs": [], "source": [ "# load the doctors data set\n", "doctors = pd.read_csv(\"datasets/doctors.csv\")" ] }, { "cell_type": "markdown", "id": "4b8aec02-d65d-41b5-91d4-32eb7bccd2d3", "metadata": {}, "source": [ "Fit the short model " ] }, { "cell_type": "code", "execution_count": 52, "id": "ebdb223b-411d-4fc5-96de-95aec1f3f361", "metadata": {}, "outputs": [], "source": [ "formula2 = \"score ~ 1 + alc + weed + exrc\"\n", "lm2 = smf.ols(formula2, data=doctors).fit()\n", "# lm2.params" ] }, { "cell_type": "markdown", "id": "012b4bea-fc07-4a77-ad7a-55071140ada2", "metadata": {}, "source": [ "Fit long model with useful `loc` variable." ] }, { "cell_type": "code", "execution_count": 53, "id": "1f8e79fe-d214-4bea-b611-d2dfc9cd9d92", "metadata": {}, "outputs": [], "source": [ "formula3 = \"score ~ 1 + alc + weed + exrc + C(loc)\"\n", "lm3 = smf.ols(formula3, data=doctors).fit()\n", "# lm3.params" ] }, { "cell_type": "markdown", "id": "57556558-a14e-4271-9ce0-bdb57652809b", "metadata": {}, "source": [ "Fit long model with useless variable `permit`." ] }, { "cell_type": "code", "execution_count": 54, "id": "24dfdbf3-518d-42bd-8b5c-2e7ebee1ab95", "metadata": {}, "outputs": [], "source": [ "formula2p = \"score ~ 1 + alc + weed + exrc + permit\"\n", "lm2p = smf.ols(formula2p, data=doctors).fit()\n", "# lm2p.params" ] }, { "cell_type": "markdown", "id": "d30666e1-177a-4cbd-b264-27a184c3f65b", "metadata": {}, "source": [ "#### Comparing metrics" ] }, { "cell_type": "code", "execution_count": 55, "id": "ad53d48a-67d0-48d9-9829-4bfae9d1e0b0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.8390497506713147, 0.8506062566189325, 0.8407115273797525)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2.rsquared_adj, lm3.rsquared_adj, lm2p.rsquared_adj" ] }, { "cell_type": "code", "execution_count": 56, "id": "99cf43da-bd09-48ff-94ed-0ca8ab643a2c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1103.2518084235273, 1092.5985552344712, 1102.603062693656)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2.aic, lm3.aic, lm2p.aic" ] }, { "cell_type": "markdown", "id": "0f926cc5-b3f9-4f12-8d81-b0a337fa03c9", "metadata": {}, "source": [ "The value `lm2p.aic` = 1102.60 is smaller than `lm2.aic`,\n", "but not not that different." ] }, { "cell_type": "code", "execution_count": 57, "id": "a1041200-5f68-49e6-a170-ad9be189e7fc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1115.4512324525256, 1107.8478352707189, 1117.8523427299037)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2.bic, lm3.bic, lm2p.bic" ] }, { "cell_type": "markdown", "id": "38a4d339-786d-41f7-bf15-c664e0e7e0e8", "metadata": {}, "source": [ "#### F-test for the submodel\n", "\n", "cf. https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.compare_f_test.html" ] }, { "cell_type": "code", "execution_count": 58, "id": "3c7e8345-a1a5-4bd1-8906-1a5a22211b6b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(12.758115596295536, 0.00047598123084920574)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F, p, _ = lm3.compare_f_test(lm2)\n", "F, p" ] }, { "cell_type": "markdown", "id": "c209e274-5df6-43a0-8397-9425c18f94be", "metadata": {}, "source": [ "The $p$-value is smaller than $0.05$,\n", "so we conclude that adding the variable `loc` improves the model." ] }, { "cell_type": "code", "execution_count": 59, "id": "2fdceec3-2ab5-4960-8c07-a1ede4ba594a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2.5857397307382257, 0.10991892492566138)" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F, p, _ = lm2p.compare_f_test(lm2)\n", "F, p" ] }, { "cell_type": "markdown", "id": "f3793b06-c486-4509-a38a-623d85946f42", "metadata": {}, "source": [ "The $p$-value is greater than $0.05$,\n", "so we conclude that adding the variable `permit` doesn't improve the model." ] }, { "cell_type": "markdown", "id": "240b7aa6-c050-44c8-aac7-c929366ad750", "metadata": {}, "source": [ "### Stepwise regression" ] }, { "cell_type": "markdown", "id": "9627e559-662b-44ef-97a9-02b354ecaca1", "metadata": {}, "source": [ "### Uses and limitations of causal graphs" ] }, { "cell_type": "markdown", "id": "53542fe5-bfca-4187-80a1-729fa02c8f32", "metadata": {}, "source": [ "### Further reading on causal inference" ] }, { "cell_type": "markdown", "id": "95386436-a492-4f74-ba3f-302809cf2192", "metadata": {}, "source": [ "## Exercises" ] }, { "cell_type": "code", "execution_count": 60, "id": "9be59c68-d2e0-4be4-8d1b-742dbd46d4e8", "metadata": {}, "outputs": [], "source": [ "# TODO" ] }, { "cell_type": "markdown", "id": "d6ad9162-0ae9-4156-bbaf-b73f577d08c8", "metadata": {}, "source": [ "## Links\n", "\n", "TODO" ] }, { "cell_type": "markdown", "id": "72aa19d5-e31b-449e-876e-2e546d41cf6e", "metadata": {}, "source": [ "# CUT MATERIAL " ] }, { "cell_type": "markdown", "id": "4bca9bb4-3c4d-4598-9b27-30d74d21ad33", "metadata": {}, "source": [ "## Bonus examples" ] }, { "cell_type": "markdown", "id": "a7461b24-027f-45d2-a8d2-ba7acf7bc4ec", "metadata": {}, "source": [ "### Bonus example 1\n", "Example 2 from [Why We Should Teach Causal Inference: Examples in Linear Regression With Simulated Data](https://www.tandfonline.com/doi/full/10.1080/10691898.2020.1752859)" ] }, { "cell_type": "code", "execution_count": 61, "id": "1dbac20b-96d2-4a35-bf4f-f1a1cad33b21", "metadata": {}, "outputs": [], "source": [ "np.random.seed(1897)\n", "n = 1000\n", "iqs = norm(100,15).rvs(n)\n", "ltimes = 200 - iqs + norm(0,1).rvs(n) \n", "tscores = 0.5*iqs + 0.1*ltimes + norm(0,1).rvs(n)\n", "\n", "bdf2 = pd.DataFrame({\"iq\":iqs,\n", " \"ltime\": ltimes,\n", " \"tscore\": tscores})" ] }, { "cell_type": "code", "execution_count": 62, "id": "f608422e-da0c-4626-86e5-83e88a3828ca", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 99.602100\n", "ltime -0.395873\n", "dtype: float64" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2a = smf.ols(\"tscore ~ 1 + ltime\", data=bdf2).fit()\n", "lm2a.params" ] }, { "cell_type": "code", "execution_count": 63, "id": "a6fde6b7-00fa-449e-87b0-36303d396d5f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 3.580677\n", "ltime 0.081681\n", "iq 0.482373\n", "dtype: float64" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2b = smf.ols(\"tscore ~ 1 + ltime + iq\", data=bdf2).fit()\n", "lm2b.params" ] }, { "cell_type": "markdown", "id": "d2aa482a-f33e-4c19-be93-f2187c298983", "metadata": {}, "source": [ "### Bonus example 2\n", "Example 1 from [Why We Should Teach Causal Inference: Examples in Linear Regression With Simulated Data](https://www.tandfonline.com/doi/full/10.1080/10691898.2020.1752859)" ] }, { "cell_type": "code", "execution_count": 64, "id": "a32b9a7e-8fa7-4ca9-86ac-a0d0a2d078c2", "metadata": {}, "outputs": [], "source": [ "np.random.seed(1896)\n", "n = 1000\n", "learns = norm(0,1).rvs(n)\n", "knows = 5*learns + norm(0,1).rvs(n)\n", "undstds = 3*knows + norm(0,1).rvs(n)\n", "\n", "bdf1 = pd.DataFrame({\"learn\":learns,\n", " \"know\": knows,\n", " \"undstd\": undstds})" ] }, { "cell_type": "code", "execution_count": 65, "id": "65a89c79-f914-4621-9e53-7ebbe85dfe9a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.045587\n", "learn 14.890022\n", "dtype: float64" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm1a = smf.ols(\"undstd ~ 1 + learn\", data=bdf1).fit()\n", "blm1a.params" ] }, { "cell_type": "code", "execution_count": 66, "id": "9ff89ff7-15ae-411c-8f0a-f2bb3e6e35cd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.036520\n", "learn 0.130609\n", "know 2.975806\n", "dtype: float64" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm1b = smf.ols(\"undstd ~ 1 + learn + know\", data=bdf1).fit()\n", "blm1b.params" ] }, { "cell_type": "markdown", "id": "a23bff1a-8952-4c8c-a6c7-031b32729407", "metadata": {}, "source": [ "### Bonus example 3\n", "Example 3 from [Why We Should Teach Causal Inference: Examples in Linear Regression With Simulated Data](https://www.tandfonline.com/doi/full/10.1080/10691898.2020.1752859)" ] }, { "cell_type": "code", "execution_count": 67, "id": "cc34570a-6f34-4433-bcfd-35dd45eae37c", "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "n = 1000\n", "\n", "ntwrks = norm(0,1).rvs(n)\n", "comps = norm(0,1).rvs(n)\n", "boths = ((ntwrks > 1) | (comps > 1))\n", "lucks = bernoulli(0.05).rvs(n)\n", "proms = (1 - lucks)*boths + lucks*(1 - boths)\n", "\n", "bdf3 = pd.DataFrame({\"ntwrk\": ntwrks,\n", " \"comp\": comps,\n", " \"prom\": proms})" ] }, { "cell_type": "markdown", "id": "d7baf1c8-681b-469b-9428-d126ca877572", "metadata": {}, "source": [ "Without adjusting for the collider `prom`,\n", "there is almost no effect of the network ability on competence." ] }, { "cell_type": "code", "execution_count": 68, "id": "4be1cb62-e6ea-48cd-be15-8d921e9addde", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.071632\n", "ntwrk -0.041152\n", "dtype: float64" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm3a = smf.ols(\"comp ~ 1 + ntwrk\", data=bdf3).fit()\n", "blm3a.params" ] }, { "cell_type": "markdown", "id": "af08ea5f-0829-4e74-8995-7c51eb2308f4", "metadata": {}, "source": [ "But with adjustment for `prom`,\n", "there seems to be a negative effect." ] }, { "cell_type": "code", "execution_count": 69, "id": "dbbcc273-e9d3-4430-b55c-92d964dfe66f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.290081\n", "ntwrk -0.239975\n", "prom 1.087964\n", "dtype: float64" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm3b = smf.ols(\"comp ~ 1 + ntwrk + prom\", data=bdf3).fit()\n", "blm3b.params" ] }, { "cell_type": "markdown", "id": "e522f13a-8adf-4201-8ab6-5b407537cbac", "metadata": {}, "source": [ "The false negative effect can also appear from sampling bias,\n", "e.g. if we restrict our analysis only to people who were promoted." ] }, { "cell_type": "code", "execution_count": 70, "id": "97c97f31-da72-4dde-a7bf-8bc6335515a1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 0.898530\n", "ntwrk -0.426244\n", "dtype: float64" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df3proms = bdf3[bdf3[\"prom\"]==1]\n", "blm3c = smf.ols(\"comp ~ ntwrk\", data=df3proms).fit()\n", "blm3c.params" ] }, { "cell_type": "markdown", "id": "1f8a2de0-a83f-4119-8e54-9b4600a014b9", "metadata": {}, "source": [ "### Bonus example 4: benefits of random assignment\n", "Example 4 from [Why We Should Teach Causal Inference: Examples in Linear Regression With Simulated Data](https://www.tandfonline.com/doi/full/10.1080/10691898.2020.1752859)" ] }, { "cell_type": "code", "execution_count": 71, "id": "ed1e8797-19db-4221-bed2-030739639587", "metadata": {}, "outputs": [], "source": [ "np.random.seed(1896)\n", "n = 1000\n", "\n", "iqs = norm(100,15).rvs(n)\n", "groups = bernoulli(p=0.5).rvs(n)\n", "ltimes = 80*groups + 120*(1-groups)\n", "tscores = 0.5*iqs + 0.1*ltimes + norm(0,1).rvs(n)\n", "\n", "bdf4 = pd.DataFrame({\"iq\":iqs,\n", " \"ltime\": ltimes,\n", " \"tscore\": tscores})" ] }, { "cell_type": "code", "execution_count": 72, "id": "ba0d8236-c7af-46d8-8735-ac40e983aa0d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.9979264589333364, -0.020129851374243904)" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# non-randomized # random assignment\n", "bdf2.corr()[\"iq\"][\"ltime\"], bdf4.corr()[\"iq\"][\"ltime\"]" ] }, { "cell_type": "code", "execution_count": 73, "id": "7f74886f-7c26-48f0-9a0c-4a6a1a0634e2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ltime\n", "80 99.980423\n", "120 99.358152\n", "Name: iq, dtype: float64" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bdf4.groupby(\"ltime\")[\"iq\"].mean()" ] }, { "cell_type": "code", "execution_count": 74, "id": "856c9316-4625-487c-83ed-61ee2800a24a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 50.688293\n", "ltime 0.091233\n", "dtype: float64" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm4a = smf.ols(\"tscore ~ 1 + ltime\", data=bdf4).fit()\n", "blm4a.params" ] }, { "cell_type": "code", "execution_count": 75, "id": "d0eae258-ee84-4159-b54f-9268c0c402c1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept -0.303676\n", "ltime 0.099069\n", "iq 0.503749\n", "dtype: float64" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm4b = smf.ols(\"tscore ~ 1 + ltime + iq\", data=bdf4).fit()\n", "blm4b.params" ] }, { "cell_type": "code", "execution_count": 76, "id": "ec370d5b-8d52-420b-8e34-1edb2f902c8d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Intercept 9.896117\n", "iq 0.501168\n", "dtype: float64" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm4c = smf.ols(\"tscore ~ 1 + iq\", data=bdf4).fit()\n", "blm4c.params" ] }, { "cell_type": "markdown", "id": "5bba33c1-3340-42f4-ba7b-6094a64a1158", "metadata": {}, "source": [ "#### Side-quest (causal influence of `mem`)\n", "\n", "Suppose we're interested in ...\n", "mem wasn't randomized, but because we de" ] }, { "cell_type": "code", "execution_count": 77, "id": "80f220bb-20cb-4318-b170-ce47fb8617c2", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Intercept 17.382804\n", "mem 10.430159\n", "dtype: float64" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "blm8c = smf.ols(\"score ~ 1 + mem\", data=df2r).fit()\n", "blm8c.params" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }