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Event Studies with a Continuous Treatment

Author

Listed:
  • Brantly Callaway
  • Andrew Goodman-Bacon
  • Pedro H. C. Sant'Anna

Abstract

This paper builds on the identification results and estimation tools for continuous difference-in-difference designs in Callaway, Goodman-Bacon, and Sant'Anna (2024) to discuss aggregation strategies for event studies with continuous treatments. Estimates from continuous designs are functions of the treatment dosage/intensity variable. Nonparametric plots of these functions show heterogeneity across doses but not heterogeneity over time. Event-study-type plots of aggregated parameters achieve the opposite. We describe how partially aggregating across treatment doses and event time can lead to readable yet nuanced figures that reflect how causal effects evolve over time, potentially in different parts of the treatment dose distribution.

Suggested Citation

  • Brantly Callaway & Andrew Goodman-Bacon & Pedro H. C. Sant'Anna, 2024. "Event Studies with a Continuous Treatment," AEA Papers and Proceedings, American Economic Association, vol. 114, pages 601-605, May.
    • Handle: RePEc:aea:apandp:v:114:y:2024:p:601-05
    DOI: 10.1257/pandp.20241047
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    Cited by:

    1. Ruffini, Krista & Öztürk, Orgül & Pekgün, Pelin, 2025. "In-kind government assistance and crowd-out of charitable services: Evidence from free school meals," Journal of Public Economics, Elsevier, vol. 248(C).
    2. Le, Dung D. & Molina, Teresa & Ibuka, Yoko & Goto, Rei, 2025. "The intergenerational health effects of child marriage bans," Journal of Health Economics, Elsevier, vol. 104(C).
    3. Hegland, Thomas A., 2025. "Nursing home payroll subsidies and the trade-off between staffing and access to care for Medicaid enrollees," Journal of Health Economics, Elsevier, vol. 103(C).
    4. Arne Henningsen & Guy Low & David Wuepper & Tobias Dalhaus & Hugo Storm & Dagim Belay & Stefan Hirsch, 2024. "Estimating Causal Effects with Observational Data: Guidelines for Agricultural and Applied Economists," IFRO Working Paper 2024/03, University of Copenhagen, Department of Food and Resource Economics.
    5. Shen, Xiuheng & Sun, Yucheng & Zhou, Xianbo, 2025. "The political legacy of disease control: Evidence from a polio vaccination campaign in China," China Economic Review, Elsevier, vol. 93(C).
    6. Aman-Rana, Shan, 2025. "Meritocracy in a bureaucracy," Journal of Development Economics, Elsevier, vol. 175(C).
    7. Martin Brown & Daniel Hoechle & Lizet Alejandra Perez Cortes & Markus Schmid, 2025. "Monetary Policy Wealth Effects: Evidence from the 2015 Swiss Franc Shock," Working Papers 25.06, Swiss National Bank, Study Center Gerzensee.

    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • 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
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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