The Chained Difference-in-Differences

Fuente: arXiv
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Autori principali: Bellégo, Christophe, Benatia, David, Dortet-Bernardet, Vincent
Natura: Preprint
Pubblicazione: 2023
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author Bellégo, Christophe
Benatia, David
Dortet-Bernardet, Vincent
author_facet Bellégo, Christophe
Benatia, David
Dortet-Bernardet, Vincent
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_01085
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Chained Difference-in-Differences
Bellégo, Christophe
Benatia, David
Dortet-Bernardet, Vincent
Econometrics
Applications
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.
title The Chained Difference-in-Differences
topic Econometrics
Applications
url https://arxiv.org/abs/2301.01085