AEA Papers and Proceedings
ISSN 2574-0768 (Print) | ISSN 2574-0776 (Online)
Event Studies with a Continuous Treatment
AEA Papers and Proceedings
vol. 114,
May 2024
(pp. 601–05)
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.Citation
Callaway, Brantly, Andrew Goodman-Bacon, and Pedro H. C. Sant'Anna. 2024. "Event Studies with a Continuous Treatment." AEA Papers and Proceedings, 114: 601–05. DOI: 10.1257/pandp.20241047Additional Materials
JEL Classification
- C13 Estimation: General
- C14 Semiparametric and Nonparametric Methods: General
- C21 Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
- C51 Model Construction and Estimation