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Two-way fixed effects instrumental variable regressions in staggered DID-IV designs

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  • Sho Miyaji

Abstract

Many studies run two-way fixed effects instrumental variable (TWFEIV) regressions, leveraging variation in the timing of policy adoption across units as an instrument for treatment. This paper studies the properties of the TWFEIV estimator in staggered instrumented difference-in-differences (DID-IV) designs. We show that in settings with the staggered adoption of the instrument across units, the TWFEIV estimator can be decomposed into a weighted average of all possible two-group/two-period Wald-DID estimators. Under staggered DID-IV designs, a causal interpretation of the TWFEIV estimand hinges on the stable effects of the instrument on the treatment and the outcome over time. We illustrate the use of our decomposition theorem for the TWFEIV estimator through an empirical application.

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  • Sho Miyaji, 2024. "Two-way fixed effects instrumental variable regressions in staggered DID-IV designs," Papers 2405.16467, arXiv.org.
    • Handle: RePEc:arx:papers:2405.16467
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    1. 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.
    2. Philip Oreopoulos, 2006. "Estimating Average and Local Average Treatment Effects of Education when Compulsory Schooling Laws Really Matter," American Economic Review, American Economic Association, vol. 96(1), pages 152-175, March.
    3. Esther Duflo, 2001. "Schooling and Labor Market Consequences of School Construction in Indonesia: Evidence from an Unusual Policy Experiment," American Economic Review, American Economic Association, vol. 91(4), pages 795-813, September.
    4. Costas Meghir & Mårten Palme & Emilia Simeonova, 2018. "Education and Mortality: Evidence from a Social Experiment," American Economic Journal: Applied Economics, American Economic Association, vol. 10(2), pages 234-256, April.
    5. Manudeep Bhuller & Tarjei Havnes & Edwin Leuven & Magne Mogstad, 2013. "Broadband Internet: An Information Superhighway to Sex Crime?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1237-1266.
    6. Imai, Kosuke & Kim, In Song, 2021. "On the Use of Two-Way Fixed Effects Regression Models for Causal Inference with Panel Data," Political Analysis, Cambridge University Press, vol. 29(3), pages 405-415, July.
    7. Rucker C. Johnson & C. Kirabo Jackson, 2019. "Reducing Inequality through Dynamic Complementarity: Evidence from Head Start and Public School Spending," American Economic Journal: Economic Policy, American Economic Association, vol. 11(4), pages 310-349, November.
    8. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    9. Amalia R Miller & Carmit Segal, 2019. "Do Female Officers Improve Law Enforcement Quality? Effects on Crime Reporting and Domestic Violence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 2220-2247.
    10. 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.
    11. Christine Blandhol & John Bonney & Magne Mogstad & Alexander Torgovitsky, 2022. "When is TSLS Actually LATE?," NBER Working Papers 29709, National Bureau of Economic Research, Inc.
    12. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    13. Amalia R. Miller & Carmit Segal, 2012. "Does Temporary Affirmative Action Produce Persistent Effects? A Study of Black and Female Employment in Law Enforcement," The Review of Economics and Statistics, MIT Press, vol. 94(4), pages 1107-1125, November.
    14. Petter Lundborg & Erik Plug & Astrid Würtz Rasmussen, 2017. "Can Women Have Children and a Career? IV Evidence from IVF Treatments," American Economic Review, American Economic Association, vol. 107(6), pages 1611-1637, June.
    15. Erica Field, 2007. "Entitled to Work: Urban Property Rights and Labor Supply in Peru," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1561-1602.
    16. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    17. Petter Lundborg & Anton Nilsson & Dan-Olof Rooth, 2014. "Parental Education and Offspring Outcomes: Evidence from the Swedish Compulsory School Reform," American Economic Journal: Applied Economics, American Economic Association, vol. 6(1), pages 253-278, January.
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