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Inference on an extended Roy model, with an application to schooling decisions in France

  • D’Haultfœuille, Xavier
  • Maurel, Arnaud

This paper considers the identification and estimation of an extension of Roy’s model (1951) of sectoral choice, which includes a non-pecuniary component in the selection equation and allows for uncertainty on potential earnings. We focus on the identification of the non-pecuniary component, which is key to disentangling the relative importance of monetary incentives versus preferences in the context of sorting across sectors. By making the most of the structure of the selection equation, we show that this component is point identified from the knowledge of the covariate effects on earnings, as soon as one covariate is continuous. Notably, and in contrast to most results on the identification of Roy models, this implies that identification can be achieved without any exclusion restriction nor large support condition on the covariates. As a by-product, bounds are obtained on the distribution of the ex ante monetary returns. We propose a three-stage semiparametric estimation procedure for this model, which yields root-n consistent and asymptotically normal estimators. Finally, we apply our results to the educational context, by providing new evidence from French data that non-pecuniary factors are a key determinant of higher education attendance decisions.

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File URL: http://www.sciencedirect.com/science/article/pii/S0304407613000328
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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 174 (2013)
Issue (Month): 2 ()
Pages: 95-106

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Handle: RePEc:eee:econom:v:174:y:2013:i:2:p:95-106
DOI: 10.1016/j.jeconom.2013.01.005
Contact details of provider: Web page: http://www.elsevier.com/locate/jeconom

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  1. J. P. Florens & J. J. Heckman & C. Meghir & E. Vytlacil, 2008. "Identification of Treatment Effects Using Control Functions in Models With Continuous, Endogenous Treatment and Heterogeneous Effects," Econometrica, Econometric Society, vol. 76(5), pages 1191-1206, 09.
  2. van den Berg, Gerard J., 1997. "Association measures for durations in bivariate hazard rate models," Journal of Econometrics, Elsevier, vol. 79(2), pages 221-245, August.
  3. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, 05.
  4. Jaap H. Abbring & Gerard J. van den Berg, 2003. "The identifiability of the mixed proportional hazards competing risks model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(3), pages 701-710.
  5. Sokbae Lee, 2006. "Identification of a competing risks model with unknown transformations of latent failure times," Biometrika, Biometrika Trust, vol. 93(4), pages 996-1002, December.
  6. Coppejans, Mark, 2001. "Estimation of the binary response model using a mixture of distributions estimator (MOD)," Journal of Econometrics, Elsevier, vol. 102(2), pages 231-269, June.
  7. Heckman, James J & Sedlacek, Guilherme, 1985. "Heterogeneity, Aggregation, and Market Wage Functions: An Empirical Model of Self-selection in the Labor Market," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1077-1125, December.
  8. Ashenfelter, Orley & Card, David, 1985. "Using the Longitudinal Structure of Earnings to Estimate the Effect of Training Programs," The Review of Economics and Statistics, MIT Press, vol. 67(4), pages 648-60, November.
  9. Whitney K. Newey, 2009. "Two-step series estimation of sample selection models," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages S217-S229, 01.
  10. Heckman, James J & Sedlacek, Guilherme L, 1990. "Self-selection and the Distribution of Hourly Wages," Journal of Labor Economics, University of Chicago Press, vol. 8(1), pages S329-63, January.
  11. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects and Econometric Policy Evaluation," NBER Working Papers 11259, National Bureau of Economic Research, Inc.
  12. Cunha, Flavio & Heckman, James J., 2007. "Identifying and Estimating the Distributions of Ex Post and Ex Ante Returns to Schooling," Labour Economics, Elsevier, vol. 14(6), pages 870-893, December.
  13. d'Haultfoeuille, Xavier & Maurel, Arnaud, 2009. "Another Look at the Identification at Infinity of Sample Selection Models," IZA Discussion Papers 4334, Institute for the Study of Labor (IZA).
  14. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2011. "Nonparametric Identification and Estimation in a Roy Model With Common Nonpecuniary Returns," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(2), pages 201-215, April.
  15. Ham, John C & LaLonde, Robert J, 1996. "The Effect of Sample Selection and Initial Conditions in Duration Models: Evidence from Experimental Data on Training," Econometrica, Econometric Society, vol. 64(1), pages 175-205, January.
  16. A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
  17. Arthur Lewbel, 2000. "Endogenous Selection Or Treatment Model Estimation," Boston College Working Papers in Economics 462, Boston College Department of Economics, revised 13 Jun 2007.
  18. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
  19. Beffy, Magali & Fougère, Denis & Maurel, Arnaud, 2009. "Choosing the Field of Study in Post-Secondary Education: Do Expected Earnings Matter?," IZA Discussion Papers 4127, Institute for the Study of Labor (IZA).
  20. Dustmann, Christian & van Soest, Arthur, 1998. "Public and private sector wages of male workers in Germany," European Economic Review, Elsevier, vol. 42(8), pages 1417-1441, September.
  21. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute for the Study of Labor (IZA).
  22. Lee, Lung-Fei, 1978. "Unionism and Wage Rates: A Simultaneous Equations Model with Qualitative and Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 415-33, June.
  23. French, Eric & Taber, Christopher, 2011. "Identification of Models of the Labor Market," Handbook of Labor Economics, Elsevier.
  24. George J. Borjas, 1987. "Self-Selection and the Earnings of Immigrants," NBER Working Papers 2248, National Bureau of Economic Research, Inc.
  25. Willis, Robert J & Rosen, Sherwin, 1979. "Education and Self-Selection," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages S7-36, October.
  26. Klein, Roger W & Spady, Richard H, 1993. "An Efficient Semiparametric Estimator for Binary Response Models," Econometrica, Econometric Society, vol. 61(2), pages 387-421, March.
  27. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
  28. Dolton, P J & Makepeace, G H & Van Der Klaauw, W, 1989. "Occupational Choice and Earnings Determination: The Role of Sample Selection and Non-pecuniary Factors," Oxford Economic Papers, Oxford University Press, vol. 41(3), pages 573-94, July.
  29. Mitali Das & Whitney K. Newey & Francis Vella, 2003. "Nonparametric Estimation of Sample Selection Models," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 33-58.
  30. Robinson, Chris & Tomes, Nigel, 1984. "Union Wage Differentials in the Public and Private Sectors: A Simultaneous Equations Specification," Journal of Labor Economics, University of Chicago Press, vol. 2(1), pages 106-27, January.
  31. Heckman, James J, 1990. "Varieties of Selection Bias," American Economic Review, American Economic Association, vol. 80(2), pages 313-18, May.
  32. Arcidiacono, Peter, 2004. "Ability sorting and the returns to college major," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 343-375.
  33. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September.
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