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The Effect of Schooling and Ability on Achievement Test Scores

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Author Info
Karsten Hansen
James J. Heckman
Kathleen J. Mullen

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Abstract

This paper develops two methods for estimating the effect of schooling on achievement test scores that control for the endogeneity of schooling by postulating that both schooling and test scores are generated by a common unobserved latent ability. These methods are applied to data on schooling and test scores. Estimates from the two methods are in close agreement. We find that the effects of schooling on test scores are roughly linear across schooling levels. The effects of schooling on measured test scores are slightly larger for lower latent ability levels. We find that schooling increases the AFQT score on average between 2 and 4 percentage points, roughly twice as large as the effect claimed by Herrnstein and Murray (1994) but in agreement with estimates produced by Neal and Johnson (1996) andWinship and Korenman (1997). We extend the previous literature by estimating the impact of schooling on measured test scores at various quantiles of the latent ability distribution.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 9881.

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Date of creation: Aug 2003
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Handle: RePEc:nbr:nberwo:9881

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Find related papers by JEL classification:
C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods

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  1. Alan Krueger & Orley Ashenfelter, 1992. "Estimates of the Economic Return to Schooling from a New Sample of Twins," NBER Working Papers 4143, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
  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. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July. [Downloadable!] (restricted)
  5. Heckman, James J, 1974. "Effects of Child-Care Programs on Women's Work Effort," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages S136-S163, Part II, . [Downloadable!] (restricted)
  6. Aakvik, A. & Heckman, J.J. & Vytlacil, E.J., 1999. "Training Effects on Employment when the Training Effects are Heterogenous : an Application to Norwegian Vocational Rehabilitation Programs," Norway; Department of Economics, University of Bergen 0599, Department of Economics, University of Bergen.
  7. Matzkin, Rosa L., 1993. "Nonparametric identification and estimation of polychotomous choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 137-168, July. [Downloadable!] (restricted)
  8. Heckman, James J. & Robb, Richard Jr., 1985. "Alternative methods for evaluating the impact of interventions : An overview," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 239-267. [Downloadable!] (restricted)
  9. Pakes, Ariel & Olley, Steven, 1995. "A limit theorem for a smooth class of semiparametric estimators," Journal of Econometrics, Elsevier, vol. 65(1), pages 295-332, January. [Downloadable!] (restricted)
  10. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457 Elsevier. [Downloadable!] (restricted)
  11. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  12. Thompson, T.S., 1989. "Identification Of Semiparametric Discrete Choice Models," Papers 249, Minnesota - Center for Economic Research.
  13. Cameron, Stephen V & Heckman, James J, 1993. "The Nonequivalence of High School Equivalents," Journal of Labor Economics, University of Chicago Press, vol. 11(1), pages 1-47, January. [Downloadable!] (restricted)
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  14. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September. [Downloadable!] (restricted)
  15. Neal, Derek A & Johnson, William R, 1996. "The Role of Premarket Factors in Black-White Wage Differences," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 869-95, October. [Downloadable!] (restricted)
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  16. James Heckman & Edward Vytlacil, 2001. "Identifying The Role Of Cognitive Ability In Explaining The Level Of And Change In The Return To Schooling," The Review of Economics and Statistics, MIT Press, vol. 83(1), pages 1-12, February. [Downloadable!] (restricted)
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  17. Eric A. Hanushek, 2002. "Publicly Provided Education," NBER Working Papers 8799, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  18. 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 for the Study of Labor (IZA). [Downloadable!]
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  19. Joseph G. Altonji & Charles R. Pierret, 2001. "Employer Learning And Statistical Discrimination," The Quarterly Journal of Economics, MIT Press, vol. 116(1), pages 313-350, February. [Downloadable!] (restricted)
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  20. James J. Heckman & Yona Rubinstein, 2001. "The Importance of Noncognitive Skills: Lessons from the GED Testing Program," American Economic Review, American Economic Association, vol. 91(2), pages 145-149, May. [Downloadable!] (restricted)
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