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Distribution Regression Difference-In-Differences

Author

Listed:
  • Iv'an Fern'andez-Val
  • Jonas Meier
  • Aico van Vuuren
  • Francis Vella

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.

Suggested Citation

  • Iv'an Fern'andez-Val & Jonas Meier & Aico van Vuuren & Francis Vella, 2024. "Distribution Regression Difference-In-Differences," Papers 2409.02311, arXiv.org.
    • Handle: RePEc:arx:papers:2409.02311
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    References listed on IDEAS

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    1. Arindrajit Dube, 2019. "Minimum Wages and the Distribution of Family Incomes," American Economic Journal: Applied Economics, American Economic Association, vol. 11(4), pages 268-304, October.
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    3. Card, David & Krueger, Alan B, 1994. "Minimum Wages and Employment: A Case Study of the Fast-Food Industry in New Jersey and Pennsylvania," American Economic Review, American Economic Association, vol. 84(4), pages 772-793, September.
    4. Goodman-Bacon, Andrew & Schmidt, Lucie, 2020. "Federalizing benefits: The introduction of Supplemental Security Income and the size of the safety net," Journal of Public Economics, Elsevier, vol. 185(C).
    5. Biewen, Martin & Fitzenberger, Bernd & Rümmele, Marian, 2022. "Using Distribution Regression Difference-in-Differences to Evaluate the Effects of a Minimum Wage Introduction on the Distribution of Hourly Wages and Hours Worked," IZA Discussion Papers 15534, Institute of Labor Economics (IZA).
    6. Jonathan Roth & Pedro H. C. Sant'Anna, 2023. "When Is Parallel Trends Sensitive to Functional Form?," Econometrica, Econometric Society, vol. 91(2), pages 737-747, March.
    7. Brantly Callaway & Tong Li, 2019. "Quantile treatment effects in difference in differences models with panel data," Quantitative Economics, Econometric Society, vol. 10(4), pages 1579-1618, November.
    8. Andrew Goodman-Bacon, 2021. "The Long-Run Effects of Childhood Insurance Coverage: Medicaid Implementation, Adult Health, and Labor Market Outcomes," American Economic Review, American Economic Association, vol. 111(8), pages 2550-2593, August.
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    More about this item

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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