Distribution Regression Difference-in-Differences

Ivan Fernandez-Val, Jonas Meier, Aico van Vuuren and Francis Vella

No 17264, IZA Discussion Papers from IZA Network @ LISER

Abstract: 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 counterfactual distribution of the treated in the untreated state has no interaction effect between treatment 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 two existing empirical examples which highlight the utility of our approach.

Keywords: difference-in-differences; treatment effects; distribution regression (search for similar items in EconPapers)
JEL-codes: C10 C21 (search for similar items in EconPapers)
Pages: 51 pages
Date: 2024-08
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Working Paper: Distribution Regression Difference-In-Differences (2024)
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