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The chained difference-in-differences

Christophe Bellégo, David Benatia and Vincent Dortet-Bernadet

Journal of Econometrics, 2025, vol. 248, issue C

Abstract: This paper studies the identification, estimation, and inference of long-term (binary) treatment effect parameters when balanced panel data is not available, or consists of only a subset of the available data. We develop a new estimator: the chained difference-in-differences, which leverages the overlapping structure of many unbalanced panel data sets. This approach consists in aggregating a collection of short-term treatment effects estimated on multiple incomplete panels. Our estimator accommodates (1) multiple time periods, (2) variation in treatment timing, (3) treatment effect heterogeneity, (4) general missing data patterns, and (5) sample selection on observables. We establish the asymptotic properties of the proposed estimator and discuss identification and efficiency gains in comparison to existing methods. Finally, we illustrate its relevance through (i) numerical simulations, and (ii) an application about the effects of an innovation policy in France.

Keywords: Event study; Unbalanced panel; Attrition; Treatment effect heterogeneity; GMM (search for similar items in EconPapers)
JEL-codes: C14 C2 C23 J38 O3 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:248:y:2025:i:c:s0304407624001295

DOI: 10.1016/j.jeconom.2024.105783

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