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Generalized Difference in Differences With Panel Data and Least Squares Estimator

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  • Myoung-jae Lee

Abstract

With one treated and one untreated periods, difference in differences (DD) requires the untreated response changes to be the same across the treatment and control groups, if the treatment were withheld contrary to the fact. A natural way to check the condition is to backtrack one period and examine the response changes in two pretreatment periods. If the condition does not hold in the pretreatment periods, then a modified DD takes the form of “generalized difference in differences (GDD),†which is a triple difference (TD) with one more time-wise difference than DD. GDD generalizes DD with a weaker identification condition in the sense that a time-constant, but not necessarily zero, time/selection effect is allowed. One more time-wise differencing (quadruple difference [QD]) than GDD allows for the time/selection effect even to change over time, which makes it possible to test for the GDD identification condition. Simple panel least squares estimators (LSEs)/tests for DD and GDD are proposed and an empirical illustration is presented.

Suggested Citation

  • Myoung-jae Lee, 2016. "Generalized Difference in Differences With Panel Data and Least Squares Estimator," Sociological Methods & Research, , vol. 45(1), pages 134-157, February.
    • Handle: RePEc:sae:somere:v:45:y:2016:i:1:p:134-157
    DOI: 10.1177/0049124114566717
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    References listed on IDEAS

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    1. Jing Qin & And Biao Zhang, 2008. "Empirical‐likelihood‐based difference‐in‐differences estimators," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(2), pages 329-349, April.
    2. Mark B. Stewart, 2012. "Quantile estimates of counterfactual distribution shifts and the effect of minimum wage increases on the wage distribution," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 175(1), pages 263-287, January.
    3. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    4. Lee, Myoung-jae, 2005. "Micro-Econometrics for Policy, Program and Treatment Effects," OUP Catalogue, Oxford University Press, number 9780199267699.
    5. Lee, Myoung-jae & Kang, Changhui, 2006. "Identification for difference in differences with cross-section and panel data," Economics Letters, Elsevier, vol. 92(2), pages 270-276, August.
    6. Guido W. Imbens & Jeffrey M. Wooldridge, 2009. "Recent Developments in the Econometrics of Program Evaluation," Journal of Economic Literature, American Economic Association, vol. 47(1), pages 5-86, March.
    7. 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.
    8. LaLonde, Robert J, 1986. "Evaluating the Econometric Evaluations of Training Programs with Experimental Data," American Economic Review, American Economic Association, vol. 76(4), pages 604-620, September.
    9. 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.
    10. Heckman, J.J. & Hotz, V.J., 1988. "Choosing Among Alternative Nonexperimental Methods For Estimating The Impact Of Social Programs: The Case Of Manpower Training," University of Chicago - Economics Research Center 88-12, Chicago - Economics Research Center.
    11. 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.
    12. Richard Blundell & Monica Costa Dias, 2009. "Alternative Approaches to Evaluation in Empirical Microeconomics," Journal of Human Resources, University of Wisconsin Press, vol. 44(3).
    13. Gruber, Jonathan, 1994. "The Incidence of Mandated Maternity Benefits," American Economic Review, American Economic Association, vol. 84(3), pages 622-641, June.
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