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A Structural Analysis of the Correlated Random Coefficient Wage Regression Model

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Author Info
Christian Belzil () (GATE - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - Ecole Normale Supérieure Lettres et Sciences Humaines)
Jörgen Hansen (Department of Economics - Concordia University)

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Abstract

We estimate a finite mixture dynamic programming model of schooling decisions in which the log wage regression function is set in a random coefficient framework. We also analyze the determinants of 3 counterfactual experiments (a college attendance subsidy, a high school graduation subsidy and an overall decrease in the rate of time preference) and examine a proposition often claimed in the "Average Treatment Effects" literature; that the discrepancy between OLS and IV estimates of the returns to schooling may be explained by the relatively higher returns experienced by those affected by exogenous policy changes. We find that the average return to experience upon entering the labor market (0.0863) exceeds the average return to schooling (0.0576) and we find more cross-sectional variability in the returns to experience than in the returns to schooling. Labor market skills (as opposed to taste for schooling) appear to be the prime factor explaining schooling attainments. We find little evidence in favor of a positive correlation between reactions induced by an exogenous experiment and the individual specific returns to schooling.

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Paper provided by HAL in its series Post-Print with number halshs-00201350_v1.

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Date of creation: 2007
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Publication status: Published, Journal of Econometrics, 2007, 140, 2, pp. 827-848
Handle: RePEc:hal:journl:halshs-00201350_v1

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Related research
Keywords: Random Coefficient; Returns to Schooling; Comparative Advantages; Dynamic Programming; Dynamic Self-Selection;

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References listed on IDEAS
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  1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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  3. Stephen V. Cameron & James J. Heckman, 1998. "Life Cycle Schooling and Dynamic Selection Bias: Models and Evidence for Five Cohorts of American Males," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 262-333, April. [Downloadable!] (restricted)
  4. James J. Heckman & Edward J. Vytlacil, 2000. "Local Instrumental Variables," NBER Technical Working Papers 0252, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Angrist, Joshua D & Krueger, Alan B, 1991. "Does Compulsory School Attendance Affect Schooling and Earnings?," The Quarterly Journal of Economics, MIT Press, vol. 106(4), pages 979-1014, November. [Downloadable!] (restricted)
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  6. Wooldridge, Jeffrey M., 1997. "On two stage least squares estimation of the average treatment effect in a random coefficient model," Economics Letters, Elsevier, vol. 56(2), pages 129-133, October. [Downloadable!] (restricted)
  7. Belzil, Christian & Hansen, Jörgen, 2002. "Unobserved Ability and the Return to Schooling," IZA Discussion Papers 508, Institute for the Study of Labor (IZA). [Downloadable!]
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  8. Belzil, Christian & Hansen, Jörgen, 2003. "Structural Estimates of the Intergenerational Education Correlation," IZA Discussion Papers 973, Institute for the Study of Labor (IZA). [Downloadable!]
  9. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
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  10. Mark R. Rosenzweig & Kenneth I. Wolpin, 2000. "Natural "Natural Experiments" in Economics," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 827-874, December. [Downloadable!] (restricted)
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  13. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-75, March. [Downloadable!] (restricted)
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  14. Costas Megir & Martin Palme, 2001. "The effect of a social experiment in education," CEE Discussion Papers 0014, Centre for the Economics of Education, LSE. [Downloadable!]
  15. Costas Meghir & Mårten Palme, 2001. "The effect of a social experiment in education," IFS Working Papers W01/11, Institute for Fiscal Studies.
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  16. Eckstein, Zvi & Wolpin, Kenneth I., 1998. "Youth Employment and Academic Performance in High School," IZA Discussion Papers 18, Institute for the Study of Labor (IZA).
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  17. Jean-Pierre Florens & James Heckman & Costas Meghir & Edward Vytlacil, 2002. "Instrumental variables, local instrumental variables and control functions," CeMMAP working papers CWP15/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  18. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
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  19. Thierry Magnac & David Thesmar, 2002. "Identifying Dynamic Discrete Decision Processes," Econometrica, Econometric Society, vol. 70(2), pages 801-816, March. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Christian Belzil, 2006. "Testing the Specification of the Mincer Wage Equation," Post-Print halshs-00142542_v1, HAL. [Downloadable!]
    Other versions:
  2. Christian Belzil, 2006. "The Return to Schooling in Structural Dynamic Models: A Survey," IZA Discussion Papers 2370, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Belzil, Christian & Hansen, Jörgen, 2008. "Calibration and IV Estimation of a Wage Outcome Equation in a Dynamic Environment," IZA Discussion Papers 3528, Institute for the Study of Labor (IZA). [Downloadable!]
  4. James J. Heckman & Lance J. Lochner & Petra E. Todd, 2005. "Earnings Functions, Rates of Return and Treatment Effects: The Mincer Equation and Beyond," IZA Discussion Papers 1700, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  5. Christian Belzil & Jörgen Hansen, 2004. "Earnings Dispersion, Risk Aversion and Education," Post-Print halshs-00180125_v1, HAL. [Downloadable!]
    Other versions:
  6. Belzil, Christian & Hansen, Jörgen & Kristensen, Nicolai, 2008. "Estimating Complementarity between Education and Training," IZA Discussion Papers 3882, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  7. Christian Belzil, 2007. "Subjective Beliefs and Schooling Decisions," IZA Discussion Papers 2820, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  8. Martin Kahanec, 2007. "Ethnic Specialization and Earnings Inequality: Why Being a Minority Hurts but Being a Big Minority Hurts More," IZA Discussion Papers 2650, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  9. Belzil, Christian & Hansen, Jörgen, 2002. "Unobserved Ability and the Return to Schooling," IZA Discussion Papers 508, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  10. Nielsen, Chantal Pohl, 2007. "Immigrant overeducation : evidence from Denmark," Policy Research Working Paper Series 4234, The World Bank. [Downloadable!]
  11. Christian Belzil & Jörgen Hansen, 2005. "A Structural Analysis of the Correlated Random Coefficient Wage Regression Model with an Application to the OLS-IV Puzzle," IZA Discussion Papers 1585, Institute for the Study of Labor (IZA). [Downloadable!]
  12. John K. Dagsvik, Torbjørn Hægeland and Arvid Raknerud, 2008. "Estimating the Returns to Schooling: A Likelihood Approach Based on Normal Mixtures," Discussion Papers 567, Research Department of Statistics Norway. [Downloadable!]
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