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Difference-in-Differences Estimators of Intertemporal Treatment Effects

Author

Listed:
  • Clément de Chaisemartin

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Xavier d'Haultfoeuille

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study treatment-effect estimation, with a panel where groups may experience multiple changes of their treatment dose. We make parallel trends assumptions, but do not restrict treatment effect heterogeneity, unlike the linear regressions that have been used in such designs. We extend the event-study approach for binary-and-staggered treatments, by redefining the event as the first time a group's treatment changes. This yields an eventstudy graph, with reduced-form estimates of the effect of having been exposed to a weakly higher amount of treatment for ℓ periods. We show that the reduced-form estimates can be combined into an economically interpretable cost-benefit ratio.

Suggested Citation

  • Clément de Chaisemartin & Xavier d'Haultfoeuille, 2022. "Difference-in-Differences Estimators of Intertemporal Treatment Effects," SciencePo Working papers Main hal-03873903, HAL.
    • Handle: RePEc:hal:spmain:hal-03873903
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03873903
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    References listed on IDEAS

    as
    1. Cl'ement de Chaisemartin & Xavier D'Haultfoeuille & F'elix Pasquier & Doulo Sow & Gonzalo Vazquez-Bare, 2022. "Difference-in-Differences Estimators for Treatments Continuously Distributed at Every Period," Papers 2201.06898, arXiv.org, revised Jul 2024.
    2. Dave Donaldson, 2018. "Railroads of the Raj: Estimating the Impact of Transportation Infrastructure," American Economic Review, American Economic Association, vol. 108(4-5), pages 899-934, April.
    3. Juan Carlos Suárez Serrato & Owen Zidar, 2016. "Who Benefits from State Corporate Tax Cuts? A Local Labor Markets Approach with Heterogeneous Firms," American Economic Review, American Economic Association, vol. 106(9), pages 2582-2624, September.
    4. Clemens Fuest & Andreas Peichl & Sebastian Siegloch, 2018. "Do Higher Corporate Taxes Reduce Wages? Micro Evidence from Germany," American Economic Review, American Economic Association, vol. 108(2), pages 393-418, February.
    5. Clément de Chaisemartin & Xavier D'Haultfœuille, 2020. "Two-Way Fixed Effects Estimators with Heterogeneous Treatment Effects," American Economic Review, American Economic Association, vol. 110(9), pages 2964-2996, September.
    6. Thiemo Fetzer, 2019. "Did Austerity Cause Brexit?," American Economic Review, American Economic Association, vol. 109(11), pages 3849-3886, November.
    7. Robin Burgess & Remi Jedwab & Edward Miguel & Ameet Morjaria & Gerard Padró i Miquel, 2015. "The Value of Democracy: Evidence from Road Building in Kenya," American Economic Review, American Economic Association, vol. 105(6), pages 1817-1851, June.
    8. Kyle Handley & Nuno Limão, 2018. "Policy Uncertainty, Trade, and Welfare: Theory and Evidence for China and the United States," World Scientific Book Chapters, in: Policy Externalities and International Trade Agreements, chapter 5, pages 123-175, World Scientific Publishing Co. Pte. Ltd..
    9. Rebecca Diamond & Tim McQuade & Franklin Qian, 2019. "The Effects of Rent Control Expansion on Tenants, Landlords, and Inequality: Evidence from San Francisco," American Economic Review, American Economic Association, vol. 109(9), pages 3365-3394, September.
    10. Kilian Huber, 2018. "Disentangling the Effects of a Banking Crisis: Evidence from German Firms and Counties," American Economic Review, American Economic Association, vol. 108(3), pages 868-898, March.
    11. Brad Hershbein & Lisa B. Kahn, 2018. "Do Recessions Accelerate Routine-Biased Technological Change? Evidence from Vacancy Postings," American Economic Review, American Economic Association, vol. 108(7), pages 1737-1772, July.
    12. Kurt Schmidheiny & Sebastian Siegloch, 2023. "On event studies and distributed‐lags in two‐way fixed effects models: Identification, equivalence, and generalization," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(5), pages 695-713, August.
    13. Justin R. Pierce & Peter K. Schott, 2016. "The Surprisingly Swift Decline of US Manufacturing Employment," American Economic Review, American Economic Association, vol. 106(7), pages 1632-1662, July.
    14. Heather Antecol & Kelly Bedard & Jenna Stearns, 2018. "Equal but Inequitable: Who Benefits from Gender-Neutral Tenure Clock Stopping Policies?," American Economic Review, American Economic Association, vol. 108(9), pages 2420-2441, September.
    15. David H. Autor, 2003. "Outsourcing at Will: The Contribution of Unjust Dismissal Doctrine to the Growth of Employment Outsourcing," Journal of Labor Economics, University of Chicago Press, vol. 21(1), pages 1-42, January.
    16. Sun, Liyang & Abraham, Sarah, 2021. "Estimating dynamic treatment effects in event studies with heterogeneous treatment effects," Journal of Econometrics, Elsevier, vol. 225(2), pages 175-199.
    17. Brantly Callaway & Pedro H. C. Sant'Anna, 2018. "Difference-in-Differences with Multiple Time Periods and an Application on the Minimum Wage and Employment," DETU Working Papers 1804, Department of Economics, Temple University.
    18. Athey, Susan & Imbens, Guido W., 2022. "Design-based analysis in Difference-In-Differences settings with staggered adoption," Journal of Econometrics, Elsevier, vol. 226(1), pages 62-79.
    19. Callaway, Brantly & Sant’Anna, Pedro H.C., 2021. "Difference-in-Differences with multiple time periods," Journal of Econometrics, Elsevier, vol. 225(2), pages 200-230.
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    More about this item

    Keywords

    Differences-in-differences; Dynamic treatment effects; Heterogeneous treatment effects; Event-study graph; Parallel trends; Panel data; Policy evaluation; Cost-benefit analysis;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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