{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Causal DAGS for Quasi-Experiments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This page provides an overview of causal Directed Acyclic Graphs (DAG's) for some of the most common quasi-experiments. It takes inspiration from a paper by {cite:t}`steiner2017graphical`, and the books by {cite:t}`cunningham2021causal` and {cite:t}`huntington2021effect`, and readers are encouraged to consult these sources for more details." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "import daft\n", "import matplotlib.pyplot as plt\n", "\n", "%config InlineBackend.figure_format = \"retina\"" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "remove-input" ] }, "outputs": [], "source": [ "plt.rcParams[\"text.usetex\"] = True\n", "GRID_UNIT = 3.0\n", "DPI = 250\n", "NODE_EC = \"k\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we take a look at randomized controlled trials (RCTs) and quasi-experiments, let's first consider the concept of confounding. Confounding occurs when a variable (or variables) causally influence both the treatment and the outcome and is very common in observational studies. This can lead to biased estimates of the treatment effect (the causal effect of $Z \\rightarrow Y$). The following causal DAG illustrates the concept of confounding. Note that the confounder is written as a vector because there may be multiple confounding variables, $\\mathbf{X}=x_1, x_2,x_3$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 428, "width": 502 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"z\", \"$Z$\", 1, 0)\n", "pgm.add_node(\"x\", \"$\\mathbf{X}$\", 1.5, 0.75)\n", "pgm.add_node(\"y\", \"$Y$\", 2, 0)\n", "\n", "pgm.add_edge(\"z\", \"y\")\n", "pgm.add_edge(\"x\", \"y\")\n", "pgm.add_edge(\"x\", \"z\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way to tell that our estimate of the causal relationship $Z \\rightarrow Y$ may be biased is the presence of a backdoor path, $Z \\leftarrow \\mathbf{X} \\rightarrow Y$. This path type is known as a \"fork\". Because $\\mathbf{X}$ is a common cause of $Z$ and $Y$, any observed statistical relation between $Z$ and $Y$ may be due to the confounding effect of $\\mathbf{X}$. \n", "\n", "Backdoor paths are problematic because they introduce _statistical associations_ between variables that do not reflect the true causal relationships, potentially leading to biased causal estimates. For example, if we ran a regression of the form `y ~ z`, and observe a main effect of $Z$ on $Y$, we have no way of knowing if this represents a true causal impact of $Z$ on $Y$, or if it is due to the confounding effect of $\\mathbf{X}$. \n", "\n", "One approach is to \"close the backdoor path\" by conditioning on the confounding variables. Practically, this could involve including confounders $\\mathbf{X}$ as a covariate in a regression model such as: `y ~ z + x₁ + x₂ + x₃`. Without explaining why, the coefficient for the main effect of $Z$ would now be an unbiased estimate of the _causal_ effect of $Z \\rightarrow Y$.\n", "\n", "However, unless we are very sure that we have accurate measures of _all_ confounding variables (maybe there is an $x_4$ that we don't know about or couldn't measure), it is still possible that our estimate of the causal effect is biased." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This leads us to Randomized Controlled Trials (RCTs) which are considered the gold standard for estimating causal effects. One reason for this is that we (as experimenters) intervene in the system by assigning units to treatment by {term}`random assignment`. Because of this intervention, any causal influence of the confounders upon the treatment $\\mathbf{X} \\rightarrow Z$ is broken - treamtent is now solely determined by the randomisation process, $R \\rightarrow T$. The following causal DAG illustrates the structure of an RCT." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 428, "width": 798 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"r\", \"$R$\", 0, 0)\n", "pgm.add_node(\"z\", \"$Z$\", 1, 0)\n", "pgm.add_node(\"x\", \"$\\mathbf{X}$\", 1.5, 0.75)\n", "pgm.add_node(\"y\", \"$Y$\", 2, 0)\n", "\n", "pgm.add_edge(\"r\", \"z\")\n", "pgm.add_edge(\"z\", \"y\")\n", "pgm.add_edge(\"x\", \"y\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The new variable $R$ represents the random assignment of units to the treatment group. This means that the treatment effect $Z \\rightarrow Y$ can be estimated without bias." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Instrumental Variables\n", "\n", "In quasi-experiments, we cannot randomly assign subjects to treatment groups. So confounders $\\mathbf{X}$ will still influence treatment assignment. In the instrumental variable (IV) approach, the causal effect of $Z \\rightarrow Y$ is identifiable if we have an IV that causally influences the treatment $Z$ but not the outcome $Y$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 428, "width": 798 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"iv\", \"$IV$\", 0, 0)\n", "pgm.add_node(\"z\", \"$Z$\", 1, 0)\n", "pgm.add_node(\"y\", \"$Y$\", 2, 0)\n", "pgm.add_node(\"x\", \"$\\mathbf{X}$\", 1.5, 0.75)\n", "pgm.add_edge(\"iv\", \"z\")\n", "pgm.add_edge(\"x\", \"z\")\n", "pgm.add_edge(\"x\", \"y\")\n", "pgm.add_edge(\"z\", \"y\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to get some intuition of why having the $IV$ helps:\n", "* The presence of $\\mathbf{X}$ is a confounder because it influences both $Z$ and $Y$.\n", "* But the $IV$ helps overcome this confounding because it is not influenced by $\\mathbf{X}$.\n", "* Any association between the $IV$ and $Y$ must be through the treatment $Z$.\n", "* This means that the $IV$ can be used to estimate the causal effect of $Z \\rightarrow Y$, without being confounded by $\\mathbf{X}$. Informally, the $IV$ causes some variation in the treatment $Z$ that is not due to $\\mathbf{X}$, and this variation can be used to estimate the causal effect of $Z \\rightarrow Y$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Readers are referred to {cite:t}`steiner2017graphical,cunningham2021causal` or {cite:t}`huntington2021effect` for a more in-depth discussion of the IV approach from the causal DAG perspective." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interrupted Time Series\n", "\n", "A causal DAG for interrupted time series quasi-experiment is given in Chapter 17 of {cite:t}`huntington2021effect`, though they are labelled as [Event Studies](https://theeffectbook.net/ch-EventStudies.html). These kinds of studies are suited to situations where an intervention is made at a given point in time at which we move from untreated to treated. Typically, we consider situations where there are a 'decent' number of observations over time. Here's the causal DAG - note that $\\text{time}$ represents all the things changing over time such as the time index as well as time-varying predictor variables." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 502, "width": 847 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"a\", \"after\\ntreatment\", -1, 0, aspect=2)\n", "pgm.add_node(\"z\", \"$Z$\", 0, 0)\n", "pgm.add_node(\"y\", \"$Y$\", 1, 0)\n", "pgm.add_node(\"t\", \"time\", 0, 1)\n", "\n", "pgm.add_edge(\"a\", \"z\")\n", "pgm.add_edge(\"t\", \"a\")\n", "pgm.add_edge(\"t\", \"y\")\n", "pgm.add_edge(\"z\", \"y\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we want to understand is the causal effect of the treatment upon the outcome, $Z \\rightarrow Y$. But we have a back door path between $Z$ and $Y$ which will make this hard, $Z \\leftarrow \\text{after treatment} \\leftarrow \\text{time} \\rightarrow Y$.\n", "\n", ":::{note}\n", "Below is an attempt to explain one way that we can deal with this. Though it is a bit of a brain-twister and can take some time to get your head around. Thanks to Nick Huntington-Klein for some clarification in [this twitter thread](https://twitter.com/inferencelab/status/1783882438063661374).\n", ":::\n", "\n", "One approach we can use is:\n", "1. We want to close the backdoor path, and one way to do this is to split the dataset into two parts: pre-treatment and post-treatment. By fitting a model only to the pre-treatment data, we have removed any variation in $\\text{after treatment}$ (all values are $0$), so there is now no variation in $Z$ caused by $\\text{time}$. This is one way to close a backdoor path, and means that a model fitted to this data (e.g. $Y_{\\text{pre}} \\sim f(\\text{time}_{\\text{pre}})$) will not be biased by the backdoor path.\n", "2. However, our goal is to estimate the causal effects of the treatment $Z \\rightarrow Y$, but we have just removed any variation in $Z$ and it does not appear in the aforementioned model, $Y_{\\text{pre}} \\sim f(\\text{time}_{\\text{pre}})$, so our work is not done. One way to deal with this is to use the model to predict what would have happened in the post-treatment era if no treatment had been given. If we make the assumption that nothing would have changed in the absence of treatment, then this will be an unbiased estimate of the counterfactual. By comparing the counterfactual with the observed post-treatment data, we can estimate the treatment effect $Z \\rightarrow Y$. By focussing only on the post-treatment data we are looking at empirical outcomes $Y_\\text{post}$ which are affected by treatment $Z = 1$, but have closed the back door because all $\\text{after treatment} = 1$. The final comparison (subtraction) between the counterfactual estimate and the observed post-treatment data gives us the estimated treatment effect." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Propensity Score Weighting\n", "\n", "In this exposition we follow the presentation of {cite:t}`steiner2017graphical`. The idea they discuss is that we should conceive of the propensity score adjustment techniques as a primarily an offset aimed at balancing the existing degree of confounding. The focus is on recovering the condition of __strong ignorability__ such that $Y(1), Y(0) \\perp\\!\\!\\!\\!\\perp Z | X$. This constraint is phrased in terms of potential outcomes $Y(0), Y(1)$, which we won't define here, but basically we're saying the outcomes are independent of the treatment when we condition on the covariates $X$ which determine selection effects. Achieving this status removes the backdoor path between the measured covariates $X$ and the treatment $Z$ thereby giving us license to causal conclusions. They emphasise this point in that the PS (propensity score) is a collider variable we can use to disentangle the confounding influence of the covariates $X$ influencing selection into the treatment. \n", "\n", "> \"This general result is obtained because the PS _itself_ is a collider variable and, thus, conditioning on the PS offsets the confounding relation $X \\rightarrow Z$ regardless of the choice of a specific PS design— matching, stratification, or weighting\" -pg 176 \"Graphical Models\n", "for Quasi-experimental Designs\"\n", "\n", "However, we have to be wary that the design assumes all relevant variables are measured in $X$, it cannot account for unmeasured confounding. In this way, we try to recover the conditions of an RCT using PS but need to be wary of unmeasured confounding. \n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 1049, "width": 3160 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"z\", \"$Z$\", 0, 0)\n", "pgm.add_node(\"y\", \"$Y$\", 3, 0)\n", "pgm.add_node(\"x\", \"$X$\", 2, 2)\n", "pgm.add_node(\"ps\", \"$PS$\", 1, 1)\n", "\n", "pgm.add_node(\"z1\", \"$Z$\", 4, 0)\n", "pgm.add_node(\"y1\", \"$Y$\", 7, 0)\n", "pgm.add_node(\"x1\", \"$X$\", 6, 2)\n", "pgm.add_node(\"ps1\", \"$PS$\", 5, 1, observed=True)\n", "\n", "pgm.add_node(\"z2\", \"$Z$\", 8, 0)\n", "pgm.add_node(\"y2\", \"$Y$\", 9, 0)\n", "pgm.add_node(\"x2\", \"$X$\", 10, 2)\n", "pgm.add_node(\"ps2\", \"$PS$\", 9, 1, observed=True)\n", "\n", "\n", "pgm.add_edge(\"x\", \"ps\")\n", "pgm.add_edge(\"z\", \"y\")\n", "pgm.add_edge(\"x\", \"y\")\n", "pgm.add_edge(\"z\", \"ps\")\n", "\n", "pgm.add_edge(\"x1\", \"ps1\")\n", "pgm.add_edge(\"z1\", \"y1\")\n", "pgm.add_edge(\"x1\", \"y1\")\n", "pgm.add_edge(\"z1\", \"ps1\")\n", "\n", "pgm.add_edge(\"x2\", \"ps2\")\n", "pgm.add_edge(\"z2\", \"y2\")\n", "pgm.add_edge(\"x2\", \"y2\")\n", "\n", "pgm.add_text(0, 3, label=\"PS is a function of treatment and covariates\")\n", "pgm.add_text(4, 3, label=\"Condition on PS (a Collider)\")\n", "pgm.add_text(8, 3, label=\"PS Adjustment Mitigates confounding\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One nice feature of this set up is that we can evaluate the claim of __strong ignorability__ because it implies that $Z \\perp\\!\\!\\!\\perp X | PS(X)$ and this ensures the covariate profiles are balanced across the treatment branches conditional on the propensity score. This is a testable implication of the postulated design! Balance plots and measures are ways in which to evaluate if the offset achieved by your propensity score has worked. It is crucial that PS serve as a balancing score, if the measure cannot serve as a balancing score the collision effect can add to the confounding bias rather than remove it. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Difference in Differences\n", "\n", "Difference in Difference studies involve comparing the change in outcomes over time between a treatment and control group. The causal DAG for this is given in Chapter 18 of {cite:t}`huntington2021effect`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 502, "width": 551 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"z\", \"$Z$\", 0, 0)\n", "pgm.add_node(\"y\", \"$Y$\", 1, 0)\n", "pgm.add_node(\"t\", \"time\", 0, 1, aspect=1.5)\n", "pgm.add_node(\"g\", \"group\", 1, 1, aspect=1.5)\n", "pgm.add_edge(\"t\", \"z\")\n", "pgm.add_edge(\"t\", \"y\")\n", "pgm.add_edge(\"g\", \"z\")\n", "pgm.add_edge(\"g\", \"y\")\n", "pgm.add_edge(\"z\", \"y\")\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ":::{note}\n", "For our explanation below, we will assume we are dealing with the simplest case of a two-group, two-time period design, the so called \"classical\" 2$\\times$2 difference-in-differences design. \n", ":::\n", "\n", "Our goal is to estimate the causal effect of the treatment on the outcome, $Z \\rightarrow Y$, but now we have _two_ backdoor paths:\n", "1. $Z \\leftarrow \\text{time} \\rightarrow Y$\n", "2. $Z \\leftarrow \\text{group} \\rightarrow Y$\n", "\n", "From a regression point of view, both $time$ and $group$ are binary variables. In this situation, treatment is given to the treatment group ($\\text{group}=1$) at time $\\text{time}=1$.\n", "\n", "The causal effect of the treatment upon the outcome is typically estimated by fitting a regression model of the form `y ~ time + group + time:group`. The interaction term `time:group` captures the causal effect of $Z \\rightarrow Y$. \n", "\n", "We can note that this interaction term $\\text{time} \\times \\text{group}$ encodes the values of $Z$, which as we said above, is equal to 1 for only the treatment group at time 1. So another way to think about the inclusion of an interaction effect is that we are simply conditioning on all the observed data ($Z$, $\\text{time}$, $\\text{group}$, $Y$) to estimate the causal effect of $Z \\rightarrow Y$.\n", "\n", ":::{warning}\n", "Achieving an unbiased estimate is strongly dependent upon the {term}`parallel trends assumption`. That is, we assume that the treatment and control groups would have followed the same trajectory (over time) in the absence of treatment. This is a strong assumption and should be carefully considered when interpreting the results of a difference-in-differences study. In the case of the classic 2$\\times$2 design we cannot assess the validity of this assumption empirically, so it is important to consider the plausibility of this assumption in the context of the particular example. \n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Synthetic Control\n", "\n", ":::{warning}\n", "While many texts cover the synthetic control method, they typically do not provide a causal DAG-based treatment. So this section is pending - we hope to update it soon.\n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression Discontinuity\n", " \n", "The regression discontinuity design is similar to the interrupted time series design, but rather than the the treatment being at a specific point in time, treatment is based on a cutoff value $\\lambda$ along some running variable $RV$. This running variable could be a test score, age, spatial location, etc. The running variable may also influence the outcome $RV \\rightarrow Y$. The running variable may also be associated with a set of variables $\\mathbf{X}$ that influence the outcome, $RV - - - - \\mathbf{X} \\rightarrow Y$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 543, "width": 1117 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "# data generating graph\n", "pgm.add_node(\"a\", \"$RV$\", 0, 1)\n", "pgm.add_node(\"z\", \"$Z$\", 0, 0)\n", "pgm.add_node(\"x\", \"$\\mathbf{X}$\", 1, 1)\n", "pgm.add_node(\"y\", \"$Y$\", 1, 0)\n", "pgm.add_edge(\"a\", \"z\")\n", "pgm.add_edge(\"a\", \"y\")\n", "pgm.add_edge(\n", " \"a\",\n", " \"x\",\n", " plot_params={\"ec\": \"grey\", \"lw\": 1.5, \"ls\": \":\", \"head_length\": 0, \"head_width\": 0},\n", ")\n", "pgm.add_edge(\"z\", \"y\")\n", "pgm.add_edge(\"x\", \"y\")\n", "pgm.add_text(-0.25, 1.3, \"Data generating graph\")\n", "\n", "# limiting graph\n", "x_offset = 2\n", "pgm.add_node(\"a2\", r\"$RV \\rightarrow \\lambda$\", 0 + x_offset, 1, aspect=1.5)\n", "pgm.add_node(\"z2\", \"$Z$\", 0 + x_offset, 0)\n", "pgm.add_node(\"x2\", \"$\\mathbf{X}$\", 1 + x_offset, 1)\n", "pgm.add_node(\"y2\", \"$Y$\", 1 + x_offset, 0)\n", "pgm.add_edge(\"a2\", \"z2\")\n", "pgm.add_edge(\"z2\", \"y2\")\n", "pgm.add_edge(\"x2\", \"y2\")\n", "pgm.add_text(x_offset - 0.1, 1.3, \"Limiting graph\")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see from the data generating graph (left) that the $RV$ is a confounding variable as it influences both the treatment $Z$ and the outcome $Y$. \n", "\n", "If we tried to identify the causal effect of $Z \\rightarrow Y$ by conditioning on the running variable ($RV=rv$), we would eliminate any variation in $Z$ or $Y$ caused by $RV$. And because $Z$ is constant for any given value of $RV$, then the $Z \\rightarrow Y$ path would disappear and we could not estimate the causal effect.\n", "\n", "Identification of the causal effect of $Z \\rightarrow Y$ is done with a limiting graph (right). The $RV$ node is replaced by a subset of the data where $RV$ is close to the cutoff value $\\lambda$, hence the name \"limiting graph\" and the symbol $RV \\rightarrow \\lambda$.\n", "\n", "In the limit, this eliminates variation in the running variable and so breaks the $RV \\rightarrow Y$ path. The causal effect of $Z \\rightarrow Y$ can be estimated by comparing the outcomes of units just above and just below the cutoff value $\\lambda$.\n", "\n", "Readers are referred to {cite:t}`steiner2017graphical` and [Chapter 6](https://mixtape.scunning.com/06-regression_discontinuity) of {cite:t}`cunningham2021causal` who discuss limiting graphs in more detail. Chapter 20 of {cite:t}`huntington2021effect` also covers regression discontinuity designs, but presents simplified (and non-kosher, in his own words) causal DAG." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-test post-test measures in non-equivalent group designs\n", "\n", "In this quasi-experimental setup every unit is observed **twice**—once before any intervention ($Y_0$) and once afterwards ($Y_1$). Only a subset of units receives the treatment ($T=1$), creating two groups that are **not randomly assigned**. \n", "\n", "Assignment can depend on the baseline outcome and on observed covariates ($\\mathbf{X}$), yet we assume that once we adjust for these pre-treatment variables, treatment assignment is \"as-good-as-random.\" " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 798, "width": 798 } }, "output_type": "display_data" } ], "source": [ "pgm = daft.PGM(dpi=DPI, grid_unit=GRID_UNIT, node_ec=NODE_EC)\n", "\n", "pgm.add_node(\"Y0\", \"$Y_0$\", 0, 0)\n", "pgm.add_node(\"T\", \"$T$\", 1, -0.5)\n", "pgm.add_node(\"X\", \"$\\mathbf{X}$\", 1, -1.5)\n", "pgm.add_node(\"Y1\", \"$Y_1$\", 2, 0)\n", "pgm.add_node(\n", " \"U1\",\n", " \"$U_1$\",\n", " 1,\n", " 0.5,\n", " plot_params={\"ec\": \"darkgrey\"},\n", " label_params={\"color\": \"darkgrey\"},\n", ")\n", "pgm.add_node(\n", " \"U2\",\n", " \"$U_2$\",\n", " 2,\n", " -1,\n", " plot_params={\"ec\": \"darkgrey\"},\n", " label_params={\"color\": \"darkgrey\"},\n", ")\n", "\n", "pgm.add_edge(\"Y0\", \"Y1\")\n", "pgm.add_edge(\"Y0\", \"T\")\n", "pgm.add_edge(\"T\", \"Y1\")\n", "pgm.add_edge(\"X\", \"Y0\")\n", "pgm.add_edge(\"X\", \"T\")\n", "pgm.add_edge(\"X\", \"Y1\")\n", "pgm.add_edge(\n", " \"U1\",\n", " \"Y0\",\n", " plot_params={\"ec\": \"darkgrey\", \"fc\": \"darkgrey\", \"lw\": 1},\n", ")\n", "pgm.add_edge(\n", " \"U1\",\n", " \"Y1\",\n", " plot_params={\"ec\": \"darkgrey\", \"fc\": \"darkgrey\", \"lw\": 1},\n", ")\n", "pgm.add_edge(\n", " \"U2\",\n", " \"T\",\n", " plot_params={\"ec\": \"darkgrey\", \"fc\": \"darkgrey\", \"lw\": 1},\n", ")\n", "pgm.add_edge(\n", " \"U2\",\n", " \"Y1\",\n", " plot_params={\"ec\": \"darkgrey\", \"fc\": \"darkgrey\", \"lw\": 1},\n", ")\n", "\n", "pgm.render();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $T \\rightarrow Y_1$: This is the causal effect of interest. However there are multiple back-door paths that need to be closed to identify this effect (see below).\n", "* $Y_0 \\rightarrow Y_1$: Units that start high tend to stay high, and units that start low tend to rise (or vice-versa): the post-test is statistically related to the pre-test even without treatment.\n", "* $Y_0 \\rightarrow T$: Treatment eligibility or take-up can be based on the pre-test value (e.g., only below-threshold units qualify for an intervention).\n", "* $\\mathbf{X} \\rightarrow Y_0$: Observed covariates of each unit (e.g. age, sex) affect the baseline measure.\n", "* $\\mathbf{X} \\rightarrow T$: The same covariates influence who gets treated (administrative rules, self-selection).\n", "* $\\mathbf{X} \\rightarrow Y_1$: Covariates also have a direct effect on the post-treatment outcome.\n", "* $Y_0 \\leftarrow U_1 \\rightarrow Y_0$: Unobserved confounders could shape both measurements." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identification summary\n", "\n", "Our goal is to learn the causal effect along $T \\to Y_1$. In the DAG there are multiple back-door paths that could confound this arrow:\n", "\n", "1. $T \\leftarrow Y_0 \\rightarrow Y_1$: this can be closed by observing $Y_0$. \n", "2. $T \\leftarrow X \\rightarrow Y_1$: this can be closed by observing the covariates $\\mathbf{X}$.\n", "3. $T \\leftarrow Y_0 \\leftarrow U_1 \\to Y_1$: this can be closed by observing $Y_0$.\n", "4. $T \\leftarrow U_2 \\rightarrow Y_1$: this is danger to unbiased estimation.\n", "\n", "By conditioning on both $Y_0$ and $X$ we intercept backdoor paths 1 and 2, satisfying Pearl's back-door criterion. The treatment coefficient in the ANCOVA formula therefore identifies the causal effect of interest under the model's other assumptions (no measurement error, correct functional form, etc.).\n", "\n", "If we can discount $U_2$ then we can estimate the treatment effect $T \\to Y_1$ by running the linear regression:\n", "\n", "$$\n", "Y_1 = \\alpha + \\tau\\,T + \\gamma\\,Y_0 + \\mathbf{X}\\boldsymbol\\beta + \\varepsilon ,\n", "$$\n", "\n", "where $\\tau$ is the average treatment effect (and equals the ATT if we assume a fixed treatment effect across all units).\n", "\n", ":::{admonition} Why $\\tau$ captures the ATE\n", ":class: note\n", "\n", "The regression model we are working with is:\n", "\n", "$$\n", "\\mathbb{E}[Y_1 \\,|\\, T, Y_0, \\mathbf{X}] = \\alpha + \\tau T + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta.\n", "$$\n", "\n", "The Average Treatment Effect (ATE) is\n", "\n", "$$\n", "\\text{ATE} = \\mathbb{E}[Y_1^{(1)} - Y_1^{(0)}],\n", "$$\n", "\n", "where:\n", "- $Y_1^{(1)}$ is the potential outcome if the unit receives treatment ($T=1$).\n", "- $Y_1^{(0)}$ is the potential outcome if the unit does not receive treatment ($T=0$).\n", "\n", "For treated units:\n", "\n", "$$\n", "\\begin{aligned}\n", "Y_1^{(1)} = \\mathbb{E}[Y_1 \\,|\\, \\text{do}(T=1), Y_0, \\mathbf{X}] &= \\alpha + 1 \\tau \\times + \\gamma Y_0 + \\mathbf{X}\\\\\n", " &= \\alpha + \\tau + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta\n", "\\end{aligned}\n", "$$\n", "\n", "For untreated units:\n", "\n", "$$\n", "\\begin{aligned}\n", "Y_1^{(0)} = \\mathbb{E}[Y_1 \\,|\\, \\text{do}(T=0), Y_0, \\mathbf{X}] &= \\alpha + 0 \\tau + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta\\\\\n", " &= \\alpha + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta\n", "\\end{aligned}\n", "$$\n", "\n", "Substituting these into the ATE formula gives:\n", "\n", "$$\n", "\\text{ATE} = \\mathbb{E}[(\\alpha + \\tau + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta) - (\\alpha + \\gamma Y_0 + \\mathbf{X}\\boldsymbol\\beta)].\n", "$$\n", "\n", "which simplifies to:\n", "\n", "$$\n", "\\text{ATE} = \\mathbb{E}[\\tau].\n", "$$\n", "\n", "If $\\tau$ was a scaler, then we simply have $\\text{ATE} = \\tau$. If $\\tau$ is instead a posterior distribution, then we can think of the posterior over $\\tau$ as the posterior over the ATE. In this way, the treatment coefficient $\\tau$ captures the ATE in the regression model.\n", ":::\n", "\n", "However, if there is an unobserved confounder $U_2$, then this will pose a real threat to unbiased estimation of the treatment effect $T \\to Y_1$. This would be a violation of conditional ignorability, which is the assumption that after conditioning on a set of variables, there are no remaining unobserved confounders that influence both the treatment and the outcome." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Targeted promotional email\n", " \n", "**Scenario:** An e-commerce retailer launches a 10% discount email aimed at \"at-risk but promising\" customers. Spend is tracked for four weeks before and after the send date.\n", "\n", "* **Units:** Existing customers. \n", "* **Pre-window $Y_0$:** Total spend in the four weeks *before* the campaign. \n", "* **Treatment $T$:** Email sent ($T=1$) vs. not sent ($T=0$). Automated rule: send only to customers whose four-week spend is $50 - $150 *and* whose machine-learning churn-score exceeds 30%. \n", "* **Covariates $\\mathbf X$:** Churn score, customer tenure, region, device preference— all frozen before the email goes out. \n", "* **Post-window $Y_1$:** Total spend in the four weeks *after* the campaign.\n", "\n", "Why it fits the DAG\n", "\n", "* $Y_0 \\to T$ Only mid-spenders qualify. \n", "* $X \\to T$ Higher churn scores or certain regions raise the chance of receiving the email. \n", "* $Y_0 \\to Y_1$ and $X \\to Y_1$ Past spend, tenure, and region predict future spend. \n", "* $T \\to Y_1$ The discount may increase (or cannibalise) post-campaign sales." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", ":::{bibliography}\n", ":filter: docname in docnames\n", ":::" ] } ], "metadata": { "kernelspec": { "display_name": "CausalPy", "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 2 }