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Published March 2014 | Published
Journal Article Open

Identifying Treatment Effects Under Data Combination


We consider the identification of counterfactual distributions and treatment effects when the outcome variables and conditioning covariates are observed in separate data sets. Under the standard selection on observables assumption, the counterfactual distributions and treatment effect parameters are no longer point identified. However, applying the classical monotone rearrangement inequality, we derive sharp bounds on the counterfactual distributions and policy parameters of interest.

Additional Information

© 2014 The Econometric Society. Manuscript received February, 2012; final revision received October, 2013. Article first published online: 1 Apr. 2014. We are grateful to Cheng Hsiao, Sergio Firpo, Marc Henry, Chuck Manski, Kevin Song, and Jeff Wooldridge for valuable comments and discussions. We thank Sang Mok Lee for excellent research assistance, and seminar participants at Michigan State, USC, U. Washington, the Canadian Econometrics Study Group meetings (2011, Toronto), and the Vanderbilt conference, Identification and Inference in Microeconometrics (2012) for useful comments. Formerly SSWP 1377.

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