Image-based Treatment Effect Heterogeneity
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Randomized controlled trials (RCTs) are considered the gold standard for estimating the effects of interventions. Recent work has studied effect heterogeneity in RCTs by conditioning estimates on tabular variables such as age and ethnicity. However, such variables are often only observed near the time of the experiment and may fail to capture historical or geographical reasons for effect variation. When experiment units are associated with a particular location, satellite imagery can provide such historical and geographical information, yet there is no method which incorporates it for describing effect heterogeneity. In this paper, we develop such a method which estimates, using a deep probabilistic modeling framework, the clusters of images having the same distribution over treatment effects. We compare the proposed methods against alternatives in simulation and in an application to estimating the effects of an anti-poverty intervention in Uganda. A causal regularization penalty is introduced to ensure reliability of the cluster model in recovering Average Treatment Effects (ATEs). Finally, we discuss feasibility, limitations, and the applicability of these methods to other domains, such as medicine and climate science, where image information is prevalent. We make code for all modeling strategies publicly available in an open-source software package.
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