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Nonparametric Identification and Estimation in a Roy Model With Common Nonpecuniary Returns

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  • Patrick Bayer
  • Shakeeb Khan
  • Christopher Timmins

Abstract

We consider identification and estimation of a Roy model that includes a common nonpecuniary utility component associated with each choice alternative. This augmented Roy model has broader applications to many polychotomous choice problems in addition to occupational sorting. We develop a pair of nonparametric estimators for this model, derive asymptotics, and illustrate small-sample properties with a series of Monte Carlo experiments. We apply one of these models to migration behavior and analyze the effect of Roy sorting on observed returns to college education. Correcting for Roy sorting bias, the returns to a college degree are cut in half. This article has supplementary material online.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:jnlbes:v:29:y:2011:i:2:p:201-215
    DOI: 10.1198/jbes.2010.08083
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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. 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.
    3. Bieri, David S. & Kuminoff, Nicolai V. & Pope, Jaren C., 2023. "National expenditures on local amenities," Journal of Environmental Economics and Management, Elsevier, vol. 117(C).
    4. Henry, Marc & Méango, Romuald & Mourifié, Ismaël, 2024. "Role models and revealed gender-specific costs of STEM in an extended Roy model of major choice," Journal of Econometrics, Elsevier, vol. 238(2).
    5. Fan Wu & Yi Xin, 2024. "Estimating Nonseparable Selection Models: A Functional Contraction Approach," Papers 2411.01799, arXiv.org.
    6. 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.
    7. Hamilton, Timothy L. & Phaneuf, Daniel J., 2015. "An integrated model of regional and local residential sorting with application to air quality," Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 71-93.
    8. Marc Henry & Romuald Meango & Ismael Mourifie, 2020. "Role models and revealed gender-specific costs of STEM in an extended Roy model of major choice," Papers 2005.09095, arXiv.org, revised Aug 2023.
    9. Thomas DeLeire & Shakeeb Khan & Christopher Timmins, 2013. "Roy Model Sorting And Nonrandom Selection In The Valuation Of A Statistical Life," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 279-306, February.
    10. Jacopo Mazza, 2012. "Does Risk Matter? A Semi-parametric Model for Educational Choices in the Presence of Uncertainty," Economics Discussion Paper Series 1225, Economics, The University of Manchester.
    11. Bertoli, S. & Fernández-Huertas Moraga, J. & Ortega, F., 2013. "Crossing the border: Self-selection, earnings and individual migration decisions," Journal of Development Economics, Elsevier, vol. 101(C), pages 75-91.
    12. Kuminoff, Nicolai V. & Mathes, Sophie M., 2024. "Residential sorting, local environments, and human capital," Regional Science and Urban Economics, Elsevier, vol. 107(C).
    13. Samuel Bazzi & Arya Gaduh & Alexander D. Rothenberg & Maisy Wong, 2016. "Skill Transferability, Migration, and Development: Evidence from Population Resettlement in Indonesia," American Economic Review, American Economic Association, vol. 106(9), pages 2658-2698, September.
    14. 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.
    15. Lee, Ji Hyung & Park, Byoung G., 2023. "Nonparametric identification and estimation of the extended Roy model," Journal of Econometrics, Elsevier, vol. 235(2), pages 1087-1113.
    16. Christophe Bruneel-Zupanc, 2023. "Don't (fully) exclude me, it's not necessary! Identification with semi-IVs," Papers 2303.12667, arXiv.org, revised Jul 2023.
    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.

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