A simple distributional difference-in-differences estimator for univariate and bivariate outcomes

Fuente: arXiv
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Auteurs principaux: Fernández-Val, Iván, Meier, Jonas, van Vuuren, Aico, Vella, Francis
Format: Preprint
Publié: 2024
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author Fernández-Val, Iván
Meier, Jonas
van Vuuren, Aico
Vella, Francis
author_facet Fernández-Val, Iván
Meier, Jonas
van Vuuren, Aico
Vella, Francis
contents We provide a simple distribution regression estimator for treatment effects in the difference-in-differences (DiD) design. Our procedure is particularly useful when the treatment effect differs across the distribution of the outcome variable. Our proposed estimator easily incorporates covariates and, importantly, can be extended to settings where the treatment potentially affects the joint distribution of multiple outcomes. Our key identifying restriction is that the untreated outcome distribution does not exhibit an interaction effect of group and time. This assumption results in a parallel trend assumption on a transformation of the distribution. We highlight the relationship between our procedure and assumptions with the changes-in-changes approach of Athey and Imbens (2006). We also reexamine the Card and Krueger (1994) study of the impact of minimum wages on employment to illustrate the utility of our approach.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02311
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A simple distributional difference-in-differences estimator for univariate and bivariate outcomes
Fernández-Val, Iván
Meier, Jonas
van Vuuren, Aico
Vella, Francis
Econometrics
Methodology
We provide a simple distribution regression estimator for treatment effects in the difference-in-differences (DiD) design. Our procedure is particularly useful when the treatment effect differs across the distribution of the outcome variable. Our proposed estimator easily incorporates covariates and, importantly, can be extended to settings where the treatment potentially affects the joint distribution of multiple outcomes. Our key identifying restriction is that the untreated outcome distribution does not exhibit an interaction effect of group and time. This assumption results in a parallel trend assumption on a transformation of the distribution. We highlight the relationship between our procedure and assumptions with the changes-in-changes approach of Athey and Imbens (2006). We also reexamine the Card and Krueger (1994) study of the impact of minimum wages on employment to illustrate the utility of our approach.
title A simple distributional difference-in-differences estimator for univariate and bivariate outcomes
topic Econometrics
Methodology
url https://arxiv.org/abs/2409.02311