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

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  • D’Haultfœuille, Xavier
  • Maurel, Arnaud

Abstract

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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  • D’Haultfœuille, Xavier & Maurel, Arnaud, 2013. "Inference on an extended Roy model, with an application to schooling decisions in France," Journal of Econometrics, Elsevier, vol. 174(2), pages 95-106.
  • Handle: RePEc:eee:econom:v:174:y:2013:i:2:p:95-106
    DOI: 10.1016/j.jeconom.2013.01.005
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    Cited by:

    1. Ismaël Mourifié & Marc Henry & Romuald Méango, 2020. "Sharp Bounds and Testability of a Roy Model of STEM Major Choices," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 3220-3283.
    2. Peter Arcidiacono & V. Joseph Hotz & Arnaud Maurel & Teresa Romano, 2014. "Recovering Ex Ante Returns and Preferences for Occupations using Subjective Expectations Data," NBER Working Papers 20626, National Bureau of Economic Research, Inc.
    3. Ivan A. Canay & Magne Mogstad & Jack Mountjoy, 2020. "On the Use of Outcome Tests for Detecting Bias in Decision Making," NBER Working Papers 27802, National Bureau of Economic Research, Inc.
    4. D’Haultfœuille, Xavier & Maurel, Arnaud & Zhang, Yichong, 2018. "Extremal quantile regressions for selection models and the black–white wage gap," Journal of Econometrics, Elsevier, vol. 203(1), pages 129-142.
    5. Brian Clark & Clément Joubert & Arnaud Maurel, 2017. "The career prospects of overeducated Americans," IZA Journal of Labor Economics, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 6(1), pages 1-29, December.
    6. Johannes S. Kunz & Kevin E. Staub, 2016. "Subjective completion beliefs and the demand for post-secondary education," Economics of Education Working Paper Series 0120, University of Zurich, Department of Business Administration (IBW).
    7. Delavande, Adeline & Zafar, Basit, 2014. "University choice: the role of expected earnings, non-pecuniary outcomes and financial constraints," ISER Working Paper Series 2014-38, Institute for Social and Economic Research.
    8. Marc Henry & Ismael Mourifié, 2012. "Sharp Bounds in the Binary Roy Model," CIRJE F-Series CIRJE-F-835, CIRJE, Faculty of Economics, University of Tokyo.
    9. Maestas, Nicole & Mullen, Kathleen J. & Powell, David & von Wachter, Till & Wenger, Jeffrey B., 2018. "The Value of Working Conditions in the United States and Implications for the Structure of Wages," CEPR Discussion Papers 13284, C.E.P.R. Discussion Papers.
    10. Kunz, Johannes S. & Staub, Kevin E., 2020. "Early subjective completion beliefs and the demand for post-secondary education," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 34-55.
    11. Marc Henry & Romuald Meango & Ismael Mourifié, 2020. "Revealing Gender-Specific Costs of STEM in an Extended Roy Model of Major Choice," Working Papers 2020-035, Human Capital and Economic Opportunity Working Group.
    12. Joseph G. Altonji & Peter Arcidiacono & Arnaud Maurel, 2015. "The Analysis of Field Choice in College and Graduate School: Determinants and Wage Effects," NBER Working Papers 21655, National Bureau of Economic Research, Inc.
    13. Yashiv, Eran, 2020. "Moving from a Poor Economy to a Rich One: The Contradictory Roles of Technology and Job Tasks," IZA Discussion Papers 13131, Institute of Labor Economics (IZA).
    14. Yifan Gong & Todd Stinebrickner & Ralph Stinebrickner & Yuxi Yao, 2022. "The Role of Non-Pecuniary Considerations: Locations Decisions of College Graduates from Low Income Backgrounds," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20221, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    15. Adeline Delavande & Basit Zafar, 2014. "University choice: the role of expected earnings, non-pecuniary outcomes, and financial constraints," Staff Reports 683, Federal Reserve Bank of New York.
    16. Philipp Eisenhauer & James J. Heckman & Edward Vytlacil, 2015. "The Generalized Roy Model and the Cost-Benefit Analysis of Social Programs," Journal of Political Economy, University of Chicago Press, vol. 123(2), pages 413-443.
    17. Tyler Ransom, 2021. "Selective Migration, Occupational Choice, and the Wage Returns to College Majors," Annals of Economics and Statistics, GENES, issue 142, pages 45-110.
    18. Eran Yashiv, 2021. "Moving from a Poor Economy to a Rich One: A Job Tasks Approach," CReAM Discussion Paper Series 2119, Centre for Research and Analysis of Migration (CReAM), Department of Economics, University College London.
    19. Myoung‐jae Lee & Jin‐young Choi, 2022. "Finding mover–stayer quantile difference due to unobservables using quantile selection corrections," Bulletin of Economic Research, Wiley Blackwell, vol. 74(3), pages 704-721, July.
    20. Yashiv, Eran, 2021. "Moving from a poor economy to a rich one: A job tasks approach," Labour Economics, Elsevier, vol. 72(C).

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    More about this item

    Keywords

    Roy model; Nonparametric identification; Schooling choices; ex ante returns to schooling;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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