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It is now common knowledge that conditioning on post-treatment variables when estimating causal effects has serious pitfalls. In experimental contexts, however, collecting covariates pre-treatment can also introduce bias if respondents are primed by the covariate measurement in a way that interacts with the treatment effect. This paper assesses the tradeoffs between pre- and post-treatment measurement of covariates in experiments. First, we derive bounds for conditional average treatment effects and interactions for covariates measured post-treatment. Second, we propose a novel experimental design that randomizes whether covariates are measured pre- or post-treatment. Under this design, researchers can diagnose both priming bias and post-treatment bias, while allowing for unbiased estimation when only one is present. We conclude with practical recommendations for scholars designing experiments.
Matthew Blackwell, Harvard University
Jacob Brown, Harvard University
Sophie Hill, Harvard University
Kosuke Imai, Harvard University
Teppei Yamamoto, Massachusetts Institute of Technology