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A Parametric Control Function Approach to Estimating the Returns to Schooling in the Absence of Exclusion Restrictions: An Application to the NLSY

Author

Listed:
  • Francis Vella

    (Georgetown University)

  • Lídia Farré

    (Universidad de Alicante)

  • Roger Klein

    (Rutgers University)

Abstract

We estimate the return to education using a sample drawn from the National Longitudinal Survey of Youth 1979 (NLSY79). Rather than accounting for the endogeneity of schooling through the use of instrumental variables we employ a parametric version of the Klein and Vella (2006a) estimator. This estimator bypasses the need for instruments by exploiting features of the conditional second moments of the errors. As the Klein and Vella (2006a) procedure is semi-parametric it is computationally demanding. We illustrate how to greatly reduce the required computation by parameterizing the second moments. Accounting for endogeneity increases the estimate of the return to education by 5 percentage points, from 7.6% to 12.7%.

Suggested Citation

  • Francis Vella & Lídia Farré & Roger Klein, 2008. "A Parametric Control Function Approach to Estimating the Returns to Schooling in the Absence of Exclusion Restrictions: An Application to the NLSY," Working Papers. Serie AD 2008-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2008-16
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    References listed on IDEAS

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    1. Stephen V. Cameron & Christopher Taber, 2004. "Estimation of Educational Borrowing Constraints Using Returns to Schooling," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 132-182, February.
    2. Klein, Roger & Vella, Francis, 2010. "Estimating a class of triangular simultaneous equations models without exclusion restrictions," Journal of Econometrics, Elsevier, vol. 154(2), pages 154-164, February.
    3. Esther Duflo, 2001. "Schooling and Labor Market Consequences of School Construction in Indonesia: Evidence from an Unusual Policy Experiment," American Economic Review, American Economic Association, vol. 91(4), pages 795-813, September.
    4. James Heckman & Flavio Cunha, 2007. "The Technology of Skill Formation," American Economic Review, American Economic Association, vol. 97(2), pages 31-47, May.
    5. Kling, Jeffrey R, 2001. "Interpreting Instrumental Variables Estimates of the Returns to Schooling," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(3), pages 358-364, July.
    6. Wooldridge, Jeffrey M., 2003. "Further results on instrumental variables estimation of average treatment effects in the correlated random coefficient model," Economics Letters, Elsevier, vol. 79(2), pages 185-191, May.
    7. Lochner, Lance & Moretti, Enrico, 2002. "The Effect of Education on Crime: Evidence from Prison Inmates, Arrests, and Self-Reports," Department of Economics, Working Paper Series qt4mf8k11n, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    8. Harmon, Colm & Walker, Ian, 1995. "Estimates of the Economic Return to Schooling for the United Kingdom," American Economic Review, American Economic Association, vol. 85(5), pages 1278-1286, December.
    9. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    10. Roger Klein & Francis Vella, 2009. "Estimating the Return to Endogenous Schooling Decisions via Conditional Second Moments," Journal of Human Resources, University of Wisconsin Press, vol. 44(4).
    11. Dolton, Peter & Vignoles, Anna, 2000. "The incidence and effects of overeducation in the U.K. graduate labour market," Economics of Education Review, Elsevier, vol. 19(2), pages 179-198, April.
    12. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
    13. Lance Lochner & Enrico Moretti, 2004. "The Effect of Education on Crime: Evidence from Prison Inmates, Arrests, and Self-Reports," American Economic Review, American Economic Association, vol. 94(1), pages 155-189, March.
    14. Rubb, S., 2003. "Overeducation in the labor market: a comment and re-analysis of a meta-analysis," Economics of Education Review, Elsevier, vol. 22(6), pages 621-629, December.
    15. repec:ucn:wpaper:10197/1100 is not listed on IDEAS
    16. Vincent (Vincent Peter) Hogan & Roberto Rigobon, 2002. "Using heteroscedasticity to estimate the returns to education," Open Access publications 10197/1100, School of Economics, University College Dublin.
    17. Card, David, 1999. "The causal effect of education on earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 30, pages 1801-1863, Elsevier.
    18. Whitney K. Newey & James L. Powell & Francis Vella, 1999. "Nonparametric Estimation of Triangular Simultaneous Equations Models," Econometrica, Econometric Society, vol. 67(3), pages 565-604, May.
    19. James Heckman & Edward Vytlacil, 1998. "Instrumental Variables Methods for the Correlated Random Coefficient Model: Estimating the Average Rate of Return to Schooling When the Return is Correlated with Schooling," Journal of Human Resources, University of Wisconsin Press, vol. 33(4), pages 974-987.
    20. Blackburn, McKinley L & Neumark, David, 1995. "Are OLS Estimates of the Return to Schooling Biased Downward? Another Look," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 217-230, May.
    21. 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.
    22. Stacey H. Chen, 2008. "Estimating the Variance of Wages in the Presence of Selection and Unobserved Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 90(2), pages 275-289, May.
    23. Klein, Roger & Vella, Francis, 2006. "Estimating the Return to Endogenous Schooling Decisions for Australian Workers via Conditional Second Moments," IZA Discussion Papers 2407, Institute of Labor Economics (IZA).
    24. Lang, Kevin, 1993. "Ability Bias, Discount Rate Bias and the Return to Education," MPRA Paper 24651, University Library of Munich, Germany.
    25. Joshua D. Angrist & Alan B. Keueger, 1991. "Does Compulsory School Attendance Affect Schooling and Earnings?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 979-1014.
    26. Groot, Wim & Maassen van den Brink, Henriette, 2000. "Overeducation in the labor market: a meta-analysis," Economics of Education Review, Elsevier, vol. 19(2), pages 149-158, April.
    27. Roberto Rigobon, 2003. "Identification Through Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 777-792, November.
    28. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    29. Stephen V. Cameron & James J. Heckman, 2001. "The Dynamics of Educational Attainment for Black, Hispanic, and White Males," Journal of Political Economy, University of Chicago Press, vol. 109(3), pages 455-499, June.
    30. Rummery, Sarah & Vella, Francis & Verbeek, Marno, 1999. "Estimating the returns to education for Australian youth via rank-order instrumental variables," Labour Economics, Elsevier, vol. 6(4), pages 491-507, November.
    31. Vella, Francis & Gregory, R. G., 1996. "Selection bias and human capital investment: Estimating the rates of return to education for young males," Labour Economics, Elsevier, vol. 3(2), pages 197-219, September.
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    More about this item

    Keywords

    return to education; heteroskedasticity; endogeneity;
    All these keywords.

    JEL classification:

    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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