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Stage-Based Identification of Policy Effects

Author

Listed:
  • Christian Alemán

    (NYU Abu Dhabi)

  • Christopher Busch

    (LMU Munich)

  • Alexander Ludwig

    (Goethe University Frankfurt)

  • Raül Santaeulà lia-Llopis

    (NYU Abu Dhabi)

Abstract
We develop a method that identifies the effects of nationwide policy, i.e., policy implemented across all regions at the same time. The core idea is to track outcome paths in terms of stages rather than time, where a stage of a regional outcome at time t is its location on the support of a reference path. The method proceeds in two steps. First, a normalization maps the time paths of regional outcomes onto the reference path—using only pre-policy data. This uncovers cross-regional heterogeneity of the stage at which policy is implemented. Second, this stage variation identifies policy effects inside a window of stages where a stage-leading region provides the no-policy counterfactual path for non-leading regions that are subject to policy inside that window. We assess our method’s performance with Monte-Carlo experiments, illustrate it with empirical applications, and show that it captures heterogeneous policy effects across stages.

Suggested Citation

  • Christian Alemán & Christopher Busch & Alexander Ludwig & Raül Santaeulà lia-Llopis, 2023. "Stage-Based Identification of Policy Effects," Working Papers 2023-026, Human Capital and Economic Opportunity Working Group.
  • Handle: RePEc:hka:wpaper:2023-026
    Note: M
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    References listed on IDEAS

    as
    1. David Card, 1990. "The Impact of the Mariel Boatlift on the Miami Labor Market," ILR Review, Cornell University, ILR School, vol. 43(2), pages 245-257, January.
    2. Jerry Hausman, 2001. "Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 57-67, Fall.
    3. Dmitry Arkhangelsky & Susan Athey & David A. Hirshberg & Guido W. Imbens & Stefan Wager, 2021. "Synthetic Difference-in-Differences," American Economic Review, American Economic Association, vol. 111(12), pages 4088-4118, December.
    4. Angrist, Joshua D. & Krueger, Alan B., 1999. "Empirical strategies in labor economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 23, pages 1277-1366, Elsevier.
    5. David Card, 2022. "Design-Based Research in Empirical Microeconomics," American Economic Review, American Economic Association, vol. 112(6), pages 1773-1781, June.
    6. F. F. Gunsilius, 2023. "Distributional Synthetic Controls," Econometrica, Econometric Society, vol. 91(3), pages 1105-1117, May.
    7. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk & Ríos-Rull, José-Víctor, 2023. "Health versus wealth: On the distributional effects of controlling a pandemic," Journal of Monetary Economics, Elsevier, vol. 140(C), pages 34-59.
    8. Klaus Adam & Albert Marcet & Johannes Beutel, 2017. "Stock Price Booms and Expected Capital Gains," American Economic Review, American Economic Association, vol. 107(8), pages 2352-2408, August.
    9. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    10. Richard Rogerson, 2008. "Structural Transformation and the Deterioration of European Labor Market Outcomes," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 235-259, April.
    11. Tiago Cavalcanti & Georgi Kocharkov & Cezar Santos, 2021. "Family Planning and Development: Aggregate Effects of Contraceptive Use," The Economic Journal, Royal Economic Society, vol. 131(634), pages 624-657.
    12. Martin S Eichenbaum & Sergio Rebelo & Mathias Trabandt, 2021. "The Macroeconomics of Epidemics [Economic activity and the spread of viral diseases: Evidence from high frequency data]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
    13. Jeremy Greenwood & Ananth Seshadri & Guillaume Vandenbroucke, 2005. "The Baby Boom and Baby Bust," American Economic Review, American Economic Association, vol. 95(1), pages 183-207, March.
    14. Moll, Benjamin & Kaplan, Greg & Violante, Giovanni, 2020. "The Great Lockdown and the Big Stimulus: Tracing the Pandemic Possibility Frontier for the U.S," CEPR Discussion Papers 15256, C.E.P.R. Discussion Papers.
    15. Jesús Fernández-Villaverde & Jeremy Greenwood & Nezih Guner, 2014. "From Shame To Game In One Hundred Years: An Economic Model Of The Rise In Premarital Sex And Its De-Stigmatization," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 25-61, February.
    16. Matteo Cervellati & Uwe Sunde, 2015. "The Economic and Demographic Transition, Mortality, and Comparative Development," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 189-225, July.
    17. Hyslop, Dean R & Imbens, Guido W, 2001. "Bias from Classical and Other Forms of Measurement Error," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 475-481, October.
    18. Alberto Abadie & Javier Gardeazabal, 2003. "The Economic Costs of Conflict: A Case Study of the Basque Country," American Economic Review, American Economic Association, vol. 93(1), pages 113-132, March.
    19. Fang, Hanming & Wang, Long & Yang, Yang, 2020. "Human mobility restrictions and the spread of the Novel Coronavirus (2019-nCoV) in China," Journal of Public Economics, Elsevier, vol. 191(C).
    20. Gary D. Hansen & Edward C. Prescott, 2002. "Malthus to Solow," American Economic Review, American Economic Association, vol. 92(4), pages 1205-1217, September.
    21. Claudia Goldin & Lawrence F. Katz, 2002. "The Power of the Pill: Oral Contraceptives and Women's Career and Marriage Decisions," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 730-770, August.
    22. Alan B. Krueger & David Card, 2000. "Minimum Wages and Employment: A Case Study of the Fast-Food Industry in New Jersey and Pennsylvania: Reply," American Economic Review, American Economic Association, vol. 90(5), pages 1397-1420, December.
    23. Goodman-Bacon, Andrew, 2021. "Difference-in-differences with variation in treatment timing," Journal of Econometrics, Elsevier, vol. 225(2), pages 254-277.
    24. Liu, Laura & Moon, Hyungsik Roger & Schorfheide, Frank, 2021. "Panel forecasts of country-level Covid-19 infections," Journal of Econometrics, Elsevier, vol. 220(1), pages 2-22.
    25. 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.
    26. Jeremy Greenwood & Nezih Guner, 2010. "Social Change: The Sexual Revolution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 893-923, November.
    27. Andrew Atkeson, 2020. "What Will be the Economic Impact of COVID-19 in the US? Rough Estimates of Disease Scenarios," Staff Report 595, Federal Reserve Bank of Minneapolis.
    28. Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2004. "How Much Should We Trust Differences-In-Differences Estimates?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 249-275.
    29. Herrendorf, Berthold & Rogerson, Richard & Valentinyi, Ákos, 2014. "Growth and Structural Transformation," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 6, pages 855-941, Elsevier.
    30. Ulrich Glogowsky & Emanuel Hansen & Simeon Schächtele, 2021. "How effective are social distancing policies? Evidence on the fight against COVID-19," PLOS ONE, Public Library of Science, vol. 16(9), pages 1-12, September.
    31. Susan Athey & Guido W. Imbens, 2017. "The State of Applied Econometrics: Causality and Policy Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 3-32, Spring.
    32. Alberto Abadie, 2005. "Semiparametric Difference-in-Differences Estimators," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 1-19.
    33. Farboodi, Maryam & Jarosch, Gregor & Shimer, Robert, 2021. "Internal and external effects of social distancing in a pandemic," Journal of Economic Theory, Elsevier, vol. 196(C).
    34. Douglas Gollin & Stephen Parente & Richard Rogerson, 2002. "The Role of Agriculture in Development," American Economic Review, American Economic Association, vol. 92(2), pages 160-164, May.
    35. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    36. 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.
    37. Martha J. Bailey, 2006. "More Power to the Pill: The Impact of Contraceptive Freedom on Women's Life Cycle Labor Supply," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 289-320.
    38. Chodorow-Reich, Gabriel, 2020. "Regional data in macroeconomics: Some advice for practitioners," Journal of Economic Dynamics and Control, Elsevier, vol. 115(C).
    39. Abadie, Alberto & Diamond, Alexis & Hainmueller, Jens, 2010. "Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control Program," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 493-505.
    40. James J. Heckman & Hidehiko Ichimura & Petra Todd, 1998. "Matching As An Econometric Evaluation Estimator," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 261-294.
    41. Jonathan Roth, 2022. "Pretest with Caution: Event-Study Estimates after Testing for Parallel Trends," American Economic Review: Insights, American Economic Association, vol. 4(3), pages 305-322, September.
    42. Imbens,Guido W. & Rubin,Donald B., 2015. "Causal Inference for Statistics, Social, and Biomedical Sciences," Cambridge Books, Cambridge University Press, number 9780521885881, September.
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    More about this item

    Keywords

    stages; identification; policy effects; nationwide policy; macroeconomics;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

    NEP fields

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