Abstract:
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A fundamental tenet of research design is the necessity of control units: units of analysis that have not been assigned the treatment / program of interest. However, withholding treatment from some units can introduce a number of problems: ethical concerns, increased cost, disruptions to business practice, and political fallout. In this paper, we explore the possibility of making causal inferences without control units by using front-door and front-door difference-in-differences estimators. Using data from 31 get-out-the-vote (GOTV) experiments and 30 outcomes from the Oregon Health Insurance Experiment, we demonstrate circumstances where one can reliably bound experimental benchmarks using front-door techniques on only treated units. We further show that we can bracket experimental benchmarks using a combination of front-door and front-door difference-in-differences estimators on the treated units.
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