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Revisiting event-study designs: robust and efficient estimation

Kirill Borusyak, Xavier Jaravel and Jann Spiess

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: We develop a framework for difference-in-differences designs with staggered treatment adoption and heterogeneous causal effects. We show that conventional regression-based estimators fail to provide unbiased estimates of relevant estimands absent strong restrictions on treatment-effect homogeneity. We then derive the efficient estimator addressing this challenge, which takes an intuitive “imputation” form when treatment-effect heterogeneity is unrestricted. We characterize the asymptotic behaviour of the estimator, propose tools for inference, and develop tests for identifying assumptions. Our method applies with time-varying controls, in triple-difference designs, and with certain non-binary treatments. We show the practical relevance of our results in a simulation study and an application. Studying the consumption response to tax rebates in the U.S., we find that the notional marginal propensity to consume is between 8 and 11% in the first quarter—about half as large as benchmark estimates used to calibrate macroeconomic models—and predominantly occurs in the first month after the rebate.

Keywords: difference-in-difference; efficiency; marginal propensity to consume (search for similar items in EconPapers)
JEL-codes: C21 C23 E21 (search for similar items in EconPapers)
Pages: 33 pages
Date: 2024-11-30
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (68)

Published in Review of Economic Studies, 30, November, 2024, 91(6), pp. 3253 - 3285. ISSN: 0034-6527

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http://eprints.lse.ac.uk/123781/ Open access version. (application/pdf)

Related works:
Journal Article: Revisiting Event-Study Designs: Robust and Efficient Estimation (2024) Downloads
Working Paper: Revisiting Event Study Designs: Robust and Efficient Estimation (2024) Downloads
Working Paper: Revisiting Event Study Designs: Robust and Efficient Estimation (2022) Downloads
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