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arxiv 2205.10761 v2 pith:4ST5CYMY submitted 2022-05-22 stat.ME stat.AP

The Role of Placebo Samples in Observational Studies

classification stat.ME stat.AP
keywords placebobiassampledetecteffectmethodsobservationalstudies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In an observational study, it is common to leverage known null effect to detect bias. One such strategy is to set aside a placebo sample -- a subset of data immune from the hypothesized cause-and-effect relationship. Existence of an effect in the placebo sample raises concern of unmeasured confounding bias while absence of it corroborates the causal conclusion. This paper establishes a formal framework for using a placebo sample to detect and remove bias. We state identification assumption, and develop estimation and inference methods based on outcome regression, inverse probability weighting, and doubly-robust approaches. Simulation studies and an empirical application illustrate the finite-sample performance of the proposed methods.

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