TY  - RPRT
        AU  - Fernández-Val, Iván
AU  - Meier, Jonas
AU  - Vuuren, Aico van
AU  - Vella, Francis
        TI  - Distribution Regression Difference-in-Differences
        PY  - 2024/Aug/
        PB  - Institute of Labor Economics (IZA)
        CY  - Bonn
        T2  - IZA Discussion Paper
        IS  - 17264
        UR  - https://www.iza.org/index.php/publications/dp17264
        AB  - 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.
        KW  - difference-in-differences
KW  - treatment effects
KW  - distribution regression
        ER  -