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The treatment effect, the cross difference, and the interaction term in nonlinear “difference-in-differences” models

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  • Puhani, Patrick A.

Abstract

In any nonlinear “difference-in-differences” model with strictly monotonic transformation function, the treatment effect is the cross difference of the observed outcome minus the cross difference of the potential non-treatment outcome, which equals the incremental effect of the interaction term coefficient.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 115 (2012)
Issue (Month): 1 ()
Pages: 85-87

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Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:85-87

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Web page: http://www.elsevier.com/locate/ecolet

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Keywords: Identification; Potential outcomes; Probit; Logit; Tobit;

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  1. Bruce D. Meyer, 1994. "Natural and Quasi- Experiments in Economics," NBER Technical Working Papers 0170, National Bureau of Economic Research, Inc.
  2. Susan Athey & Guido W. Imbens, 2002. "Identification and Inference in Nonlinear Difference-In-Differences Models," NBER Technical Working Papers 0280, National Bureau of Economic Research, Inc.
  3. Heckman, James J. & Lalonde, Robert J. & Smith, Jeffrey A., 1999. "The economics and econometrics of active labor market programs," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 31, pages 1865-2097 Elsevier.
  4. Richard Blundell & Monica Costa Dias, 2008. "Alternative approaches to evaluation in empirical microeconomics," CeMMAP working papers CWP26/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  5. Michael Lechner, 2010. "The Estimation of Causal Effects by Difference-in-Difference Methods," University of St. Gallen Department of Economics working paper series 2010 2010-28, Department of Economics, University of St. Gallen, revised Oct 2011.
  6. 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.
  7. Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2002. "How Much Should We Trust Differences-in-Differences Estimates?," NBER Working Papers 8841, National Bureau of Economic Research, Inc.
  8. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
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