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Revisiting the Returns to Higher Education: Heterogeneity by Cognitive and Non-Cognitive Abilities

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  • Oliver Cassagneau-Francis

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

Recent work has highlighted the significant variation in returns to higher education across individuals. We develop a novel methodology-exploiting recent advances in the identification of mixture models-which groups individuals according to their prior ability and estimates the wage returns to a university degree by group. We prove the non-parametric identification of our model. Applying our method to data from a UK cohort study, our findings reflect recent evidence that skills and ability are multidimensional. Our flexible model allows the returns to university to vary across the (multi-dimensional) ability distribution, a flexibility missing from commonly used additive models, but which we show is empirically important. The returns to higher education are 3-4 times larger than the returns to prior cognitive and non-cognitive abilities. Returns are generally increasing in ability for both men and women, but vary non-monotonically across the ability distribution.

Suggested Citation

  • Oliver Cassagneau-Francis, 2022. "Revisiting the Returns to Higher Education: Heterogeneity by Cognitive and Non-Cognitive Abilities," Working Papers hal-04067399, HAL.
  • Handle: RePEc:hal:wpaper:hal-04067399
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-04067399
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    References listed on IDEAS

    as
    1. Robert J. Gary‐Bobo & Marion Goussé & Jean‐Marc Robin, 2016. "Grade retention and unobserved heterogeneity," Quantitative Economics, Econometric Society, vol. 7(3), pages 781-820, November.
    2. Pedro Carneiro & James J. Heckman & Edward Vytlacil, 2010. "Evaluating Marginal Policy Changes and the Average Effect of Treatment for Individuals at the Margin," Econometrica, Econometric Society, vol. 78(1), pages 377-394, January.
    3. Jeremy P. Smith & Robin A. Naylor, 2001. "Dropping out of university: A statistical analysis of the probability of withdrawal for UK university students," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(2), pages 389-405.
    4. Stéphane Bonhomme & Elena Manresa, 2015. "Grouped Patterns of Heterogeneity in Panel Data," Econometrica, Econometric Society, vol. 83(3), pages 1147-1184, May.
    5. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    6. 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 of Labor Economics (IZA).
    7. Bonhomme, Stphane & Robin, Jean-Marc, 2009. "Consistent noisy independent component analysis," Journal of Econometrics, Elsevier, vol. 149(1), pages 12-25, April.
    8. Petra E. Todd & Weilong Zhang, 2020. "A dynamic model of personality, schooling, and occupational choice," Quantitative Economics, Econometric Society, vol. 11(1), pages 231-275, January.
    9. 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, May.
    10. Flavio Cunha & James J. Heckman & Susanne M. Schennach, 2010. "Estimating the Technology of Cognitive and Noncognitive Skill Formation," Econometrica, Econometric Society, vol. 78(3), pages 883-931, May.
    11. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    12. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j01si09a2 is not listed on IDEAS
    13. Cunha, Flavio & Heckman, James J. & Lochner, Lance, 2006. "Interpreting the Evidence on Life Cycle Skill Formation," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 12, pages 697-812, Elsevier.
    14. Kane, Thomas J & Rouse, Cecilia Elena, 1995. "Labor-Market Returns to Two- and Four-Year College," American Economic Review, American Economic Association, vol. 85(3), pages 600-614, June.
    15. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Consistent Noisy Independent Component Analysis," PSE-Ecole d'économie de Paris (Postprint) hal-00642732, HAL.
    16. Gary S. Becker, 1964. "Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, First Edition," NBER Books, National Bureau of Economic Research, Inc, number beck-5, March.
    17. Adrian O’Hagan & Thomas Brendan Murphy & Luca Scrucca & Isobel Claire Gormley, 2019. "Investigation of parameter uncertainty in clustering using a Gaussian mixture model via jackknife, bootstrap and weighted likelihood bootstrap," Computational Statistics, Springer, vol. 34(4), pages 1779-1813, December.
    18. repec:hal:spmain:info:hdl:2441/4po7er2pp49baoh37bjdkluouu is not listed on IDEAS
    19. Orley Ashenfelter & Cecilia Rouse, 1998. "Income, Schooling, and Ability: Evidence from a New Sample of Identical Twins," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(1), pages 253-284.
    20. Robert J. Gary‐Bobo & Marion Goussé & Jean‐Marc Robin, 2016. "Grade retention and unobserved heterogeneity," Quantitative Economics, Econometric Society, vol. 7(3), pages 781-820, November.
    21. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    22. Jean-Marc Robin & Stéphane Bonhomme, 2009. "Consistent Noisy Independent Component Analysis," SciencePo Working papers Main hal-01022621, HAL.
    23. Blundell, Richard, et al, 2000. "The Returns to Higher Education in Britain: Evidence from a British Cohort," Economic Journal, Royal Economic Society, vol. 110(461), pages 82-99, February.
    24. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    25. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Consistent Noisy Independent Component Analysis," Post-Print hal-00642732, HAL.
    26. Jacob, Brian A., 2002. "Where the boys aren't: non-cognitive skills, returns to school and the gender gap in higher education," Economics of Education Review, Elsevier, vol. 21(6), pages 589-598, December.
    27. Christopher R. Taber, 2001. "The Rising College Premium in the Eighties: Return to College or Return to Unobserved Ability?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 665-691.
    28. Petra E. Todd & Kenneth I. Wolpin, 2003. "On The Specification and Estimation of The Production Function for Cognitive Achievement," Economic Journal, Royal Economic Society, vol. 113(485), pages 3-33, February.
    29. Altonji, Joseph G & Dunn, Thomas A, 1996. "The Effects of Family Characteristics on the Return to Education," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 692-704, November.
    30. Cawley, John & Heckman, James & Vytlacil, Edward, 2001. "Three observations on wages and measured cognitive ability," Labour Economics, Elsevier, vol. 8(4), pages 419-442, September.
    31. Jean-Marc Robin & Stéphane Bonhomme, 2009. "Consistent Noisy Independent Component Analysis," SciencePo Working papers hal-01022621, HAL.
    32. Robert Gary-Bobo & Jean-Marc Robin & Marion Goussé, 2016. "Grade Retention and Unobserved Heterogeneity," Post-Print hal-03572141, HAL.
    33. Richard Blundell & Lorraine Dearden & Barbara Sianesi, 2005. "Evaluating the effect of education on earnings: models, methods and results from the National Child Development Survey," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(3), pages 473-512, July.
    34. Delaney, Liam & Harmon, Colm & Ryan, Martin, 2013. "The role of noncognitive traits in undergraduate study behaviours," Economics of Education Review, Elsevier, vol. 32(C), pages 181-195.
    35. Lisa Barrow & Cecilia Elena Rouse, 2005. "Do Returns to Schooling Differ by Race and Ethnicity?," American Economic Review, American Economic Association, vol. 95(2), pages 83-87, May.
    36. Jacob Mincer, 1958. "Investment in Human Capital and Personal Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 66, pages 281-281.
    37. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09j01si09a2 is not listed on IDEAS
    38. David Greenaway & Michelle Haynes, 2003. "Funding Higher Education in The UK: The Role of Fees and Loans," Economic Journal, Royal Economic Society, vol. 113(485), pages 150-166, February.
    39. Stephane Bonhomme, 2021. "Teams: Heterogeneity, Sorting, and Complementarity," Papers 2102.01802, arXiv.org.
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    Keywords

    Mixture models; Distributions; Treatment effects; Higher education; Wages; Human capital; Cognitive and non-cognitive abilities;
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