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Open AccessJournal ArticleDOI

Recursive partitioning for heterogeneous causal effects

Susan Athey, +1 more
- 05 Jul 2016 - 
- Vol. 113, Iss: 27, pp 7353-7360
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TLDR
This paper provides a data-driven approach to partition the data into subpopulations that differ in the magnitude of their treatment effects, and proposes an “honest” approach to estimation, whereby one sample is used to construct the partition and another to estimate treatment effects for each subpopulation.
Abstract
In this paper we propose methods for estimating heterogeneity in causal effects in experimental and observational studies and for conducting hypothesis tests about the magnitude of differences in treatment effects across subsets of the population. We provide a data-driven approach to partition the data into subpopulations that differ in the magnitude of their treatment effects. The approach enables the construction of valid confidence intervals for treatment effects, even with many covariates relative to the sample size, and without “sparsity” assumptions. We propose an “honest” approach to estimation, whereby one sample is used to construct the partition and another to estimate treatment effects for each subpopulation. Our approach builds on regression tree methods, modified to optimize for goodness of fit in treatment effects and to account for honest estimation. Our model selection criterion anticipates that bias will be eliminated by honest estimation and also accounts for the effect of making additional splits on the variance of treatment effect estimates within each subpopulation. We address the challenge that the “ground truth” for a causal effect is not observed for any individual unit, so that standard approaches to cross-validation must be modified. Through a simulation study, we show that for our preferred method honest estimation results in nominal coverage for 90% confidence intervals, whereas coverage ranges between 74% and 84% for nonhonest approaches. Honest estimation requires estimating the model with a smaller sample size; the cost in terms of mean squared error of treatment effects for our preferred method ranges between 7–22%.

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Citations
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Proceedings ArticleDOI

Treatment Effect Estimation Using Invariant Risk Minimization

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Learning and Testing Sub-groups with Heterogeneous Treatment Effects:A Sequence of Two Studies.

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Book ChapterDOI

Feature Selection Methods for Uplift Modeling and Heterogeneous Treatment Effect

TL;DR: In this paper , a set of feature selection methods explicitly designed for uplift modeling is presented, drawing inspiration from statistics and information theory, and empirically evaluated on publicly available datasets, demonstrating the advantages of the proposed methods compared to traditional feature selection.
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The central role of the propensity score in observational studies for causal effects

Paul R. Rosenbaum, +1 more
- 01 Apr 1983 - 
TL;DR: The authors discusses the central role of propensity scores and balancing scores in the analysis of observational studies and shows that adjustment for the scalar propensity score is sufficient to remove bias due to all observed covariates.