Difference-in-differences with variation in treatment timing

The canonical difference-in-differences (DD) estimator contains two time periods, ”pre” and ”post”, and two groups, ”treatment” and ”control”. Most DD applications, however, exploit variation across groups of units that receive treatment at different times. This paper shows that the two-way fixed ef...

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Vydáno v:Journal of econometrics Ročník 225; číslo 2; s. 254 - 277
Hlavní autor: Goodman-Bacon, Andrew
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.12.2021
Elsevier Sequoia S.A
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ISSN:0304-4076, 1872-6895
On-line přístup:Získat plný text
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Abstract The canonical difference-in-differences (DD) estimator contains two time periods, ”pre” and ”post”, and two groups, ”treatment” and ”control”. Most DD applications, however, exploit variation across groups of units that receive treatment at different times. This paper shows that the two-way fixed effects estimator equals a weighted average of all possible two-group/two-period DD estimators in the data. A causal interpretation of two-way fixed effects DD estimates requires both a parallel trends assumption and treatment effects that are constant over time. I show how to decompose the difference between two specifications, and provide a new analysis of models that include time-varying controls.
AbstractList The canonical difference-in-differences (DD) estimator contains two time periods, ”pre” and ”post”, and two groups, ”treatment” and ”control”. Most DD applications, however, exploit variation across groups of units that receive treatment at different times. This paper shows that the two-way fixed effects estimator equals a weighted average of all possible two-group/two-period DD estimators in the data. A causal interpretation of two-way fixed effects DD estimates requires both a parallel trends assumption and treatment effects that are constant over time. I show how to decompose the difference between two specifications, and provide a new analysis of models that include time-varying controls.
Author Goodman-Bacon, Andrew
Author_xml – sequence: 1
  givenname: Andrew
  surname: Goodman-Bacon
  fullname: Goodman-Bacon, Andrew
  email: andrew.j.goodman-bacon@vanderbilt.edu
  organization: Opportunity and Inclusive Growth Institute, Federal Reserve Bank of Minneapolis, 90 Hennepin Ave, Minneapolis, MN 55401, USA
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Issue 2
Keywords Difference-in-differences
Two-way fixed effects
Treatment effect heterogeneity
Variation in treatment timing
Language English
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Snippet The canonical difference-in-differences (DD) estimator contains two time periods, ”pre” and ”post”, and two groups, ”treatment” and ”control”. Most DD...
The canonical difference-in-differences (DD) estimator contains two time periods, "pre" and "post", and two groups, "treatment" and "control". Most DD...
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SubjectTerms Asymptotic methods
Difference-in-differences
econometrics
Estimating techniques
Quantitative analysis
Statistical analysis
temporal variation
Time periods
Treatment effect heterogeneity
Two-way fixed effects
Variation in treatment timing
Title Difference-in-differences with variation in treatment timing
URI https://dx.doi.org/10.1016/j.jeconom.2021.03.014
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