IDEAS home Printed from https://ideas.repec.org/p/rdv/wpaper/credresearchpaper41.html
   My bibliography  Save this paper

Differences-in-Differences with multiple Treatments under Control

Author

Listed:
  • Marcus Roller, Daniel Steinberg

Abstract

Numerous quasi-experimental identification strategies making use of the differencein- differences setup suffer from multiple treatments which can be separated into sequential and simultaneous treatments. While for causal inferences under sequential treatments a staggered difference-in-differences approach might be applied, for causal inferences under simultaneous treatments the standard differences-indifferences approach is normally not applicable. Accordingly, we present an adjusted differences-in-differences identification strategy that can neutralize the effects of additional treatments implemented simultaneously through the definition and the specific composition of the control group and an amended common trend assumption. Even though the adjusted difference-in-differences strategy identifies the average treatment effect on the treated, we also show that the adjusted strategy is capable of identifying the average treatment effect under stronger common trend assumptions and the absence of interaction effects between the treatments.

Suggested Citation

  • Marcus Roller, Daniel Steinberg, 2023. "Differences-in-Differences with multiple Treatments under Control," Diskussionsschriften credresearchpaper41, Universitaet Bern, Departement Volkswirtschaft - CRED.
  • Handle: RePEc:rdv:wpaper:credresearchpaper41
    as

    Download full text from publisher

    File URL: https://repec.vwiit.ch/cred/CREDResearchPaper41.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Maurice Bailey & John Kendall, 2021. "Difference-in-Differences with Staggered Treatment Timing," Journal of Economics and Econometrics, Economics and Econometrics Society, vol. 64(3), pages 69-102.
    4. repec:fth:prinin:315 is not listed on IDEAS
    5. Goodman-Bacon, Andrew, 2021. "Difference-in-differences with variation in treatment timing," Journal of Econometrics, Elsevier, vol. 225(2), pages 254-277.
    6. Hans Fricke, 2017. "Identification Based on Difference-in-Differences Approaches with Multiple Treatments," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(3), pages 426-433, June.
    7. Peter Hull, 2018. "Estimating Treatment Effects in Mover Designs," Papers 1804.06721, arXiv.org.
    8. Susan Athey & Guido W. Imbens, 2006. "Identification and Inference in Nonlinear Difference-in-Differences Models," Econometrica, Econometric Society, vol. 74(2), pages 431-497, March.
    9. Roller, Marcus & Steinberg, Daniel, 2020. "The distributional effects of early school stratification - non-parametric evidence from Germany," European Economic Review, Elsevier, vol. 125(C).
    10. Guido W. Imbens & Jeffrey M. Wooldridge, 2009. "Recent Developments in the Econometrics of Program Evaluation," Journal of Economic Literature, American Economic Association, vol. 47(1), pages 5-86, March.
    11. David Card & Alan Krueger, 1993. "Minimum Wages and Employment: A Case Study of the Fast Food Industry in New Jersey and Pennsylvania," Working Papers 694, Princeton University, Department of Economics, Industrial Relations Section..
    12. Lechner, Michael, 2011. "The Estimation of Causal Effects by Difference-in-Difference Methods," Foundations and Trends(R) in Econometrics, now publishers, vol. 4(3), pages 165-224, November.
    13. 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.
    14. Baker, Andrew C. & Larcker, David F. & Wang, Charles C.Y., 2022. "How much should we trust staggered difference-in-differences estimates?," Journal of Financial Economics, Elsevier, vol. 144(2), pages 370-395.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Enzo Brox & Riccardo Di Francesco, 2024. "The Cost of Coming Out," Papers 2403.03649, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roth, Jonathan & Sant’Anna, Pedro H.C. & Bilinski, Alyssa & Poe, John, 2023. "What’s trending in difference-in-differences? A synthesis of the recent econometrics literature," Journal of Econometrics, Elsevier, vol. 235(2), pages 2218-2244.
    2. Liyang Sun & Jesse M. Shapiro, 2022. "A Linear Panel Model with Heterogeneous Coefficients and Variation in Exposure," Journal of Economic Perspectives, American Economic Association, vol. 36(4), pages 193-204, Fall.
    3. Rik Chakraborti & Gavin Roberts, 2023. "How price-gouging regulation undermined COVID-19 mitigation: county-level evidence of unintended consequences," Public Choice, Springer, vol. 196(1), pages 51-83, July.
    4. Cl'ement de Chaisemartin & Xavier D'Haultf{oe}uille, 2021. "Two-Way Fixed Effects and Differences-in-Differences with Heterogeneous Treatment Effects: A Survey," Papers 2112.04565, arXiv.org, revised Jun 2022.
    5. Rösner, Anja & Haucap, Justus & Heimeshoff, Ulrich, 2020. "The impact of consumer protection in the digital age: Evidence from the European Union," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    6. 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.
    7. Luca Coraggio & Marco Pagano & Annalisa Scognamiglio & Joacim Tåg, 2022. "JAQ of All Trades: Job Mismatch, Firm Productivity and Managerial Quality," EIEF Working Papers Series 2205, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2022.
    8. Paul Goldsmith-Pinkham & Peter Hull & Michal Koles'ar, 2021. "Contamination Bias in Linear Regressions," Papers 2106.05024, arXiv.org, revised Feb 2024.
    9. Giulia Bettin & Isabella Giorgetti & Stefano Staffolani, 2024. "The impact of Covid-19 lockdown on the gender gap in the Italian labour market," Review of Economics of the Household, Springer, vol. 22(1), pages 1-33, March.
    10. Huber, Martin, 2019. "An introduction to flexible methods for policy evaluation," FSES Working Papers 504, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    11. Clément de Chaisemartin & Xavier D’Haultfœuille, 2023. "Two-way fixed effects and differences-in-differences with heterogeneous treatment effects: a survey," The Econometrics Journal, Royal Economic Society, vol. 26(3), pages 1-30.
    12. Callaway, Brantly & Li, Tong, 2023. "Policy evaluation during a pandemic," Journal of Econometrics, Elsevier, vol. 236(1).
    13. Alex Hollingsworth & Krzysztof Karbownik & Melissa A. Thomasson & Anthony Wray, 2022. "The Gift of a Lifetime: The Hospital, Modern Medicine, and Mortality," NBER Working Papers 30663, National Bureau of Economic Research, Inc.
    14. Jaraitė, Jūratė & Kurtyka, Oliwia & Ollivier, Hélène, 2022. "Take a ride on the (not so) green side: How do CDM projects affect Indian manufacturing firms’ environmental performance?," Journal of Environmental Economics and Management, Elsevier, vol. 114(C).
    15. Chy, Mahfuz & Kyung, Hoyoun, 2023. "The effect of bond market transparency on bank loan contracting," Journal of Accounting and Economics, Elsevier, vol. 75(2).
    16. Mikhail Mamonov & Anna Pestova & Steven Ongena, 2023. "“Crime and Punishment”? How Banks Anticipate and Propagate Global Financial Sanctions," CERGE-EI Working Papers wp753, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    17. Bhattacharjee, Arnab & Aravena, Claudia & Castillo, Natalia & Ehrlich, Marco & Taou, Nadia & Wagner, Thomas, 2022. "Agroforestry Programs in the Colombian Amazon: Selection, Treatment and Exposure Effects on Deforestation," National Institute of Economic and Social Research (NIESR) Discussion Papers 537, National Institute of Economic and Social Research.
    18. Kayaoglu, Aysegul, 2022. "Do refugees cause crime?," World Development, Elsevier, vol. 154(C).
    19. Asatryan, Zareh & Baskaran, Thushyanthan & Birkholz, Carlo & Hufschmidt, Patrick, 2023. "Favoritism by the governing elite," Ruhr Economic Papers 1029, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    20. Jiménez, Bruno & Rendon, Silvio, 2023. "Does employment protection unprotect workers? The labor market effects of job reinstatements in Peru," Labour Economics, Elsevier, vol. 80(C).

    More about this item

    Keywords

    Econometrics; Semiparametric and Nonparametric Methods; Treatment Effect Models;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:rdv:wpaper:credresearchpaper41. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Franz Koelliker (email available below). General contact details of provider: https://edirc.repec.org/data/vwibech.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.