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The Production of Cognitive Achievement in Children: Home, School, and Racial Test Score Gaps

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  • Petra E. Todd
  • Kenneth I. Wolpin

Abstract

This paper studies the determinants of children's scores on tests of cognitive achievement in math and reading. Using rich longitudinal data on test scores, home environments, and schools, we implement alternative specifications for the cognitive achievement production function that allow achievement to depend on the entire history of lagged home and school inputs as well as on parents' ability and unobserved endowments. We use cross-validation methods to select among competing specifications and find support for a variant of a value-added model of the production function augmented to include information on lagged inputs. Using this specification, we study the sources of test score gaps between black, white, and Hispanic children. The estimated model captures key patterns in the data, such as the widening of minority-white test score gaps with age and differences in the gap pattern between Hispanics and blacks. We find that differences in mother's "ability," as measured by AFQT, account for about half of the test score gap. Home inputs also account for a significant proportion. Equalizing home inputs at the average levels of white children would close the black-white and the Hispanic-white test score gaps in math and reading by about 10-20 percent.

Suggested Citation

  • Petra E. Todd & Kenneth I. Wolpin, 2007. "The Production of Cognitive Achievement in Children: Home, School, and Racial Test Score Gaps," Journal of Human Capital, University of Chicago Press, vol. 1(1), pages 91-136.
  • Handle: RePEc:ucp:jhucap:v:1:i:1:y:2007:p:91-136
    DOI: 10.1086/526401
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    1. Wu, De-Min, 1973. "Alternative Tests of Independence Between Stochastic Regressors and Disturbances," Econometrica, Econometric Society, vol. 41(4), pages 733-750, July.
    2. repec:fth:prinin:357 is not listed on IDEAS
    3. Victor R. Fuchs & Diane M. Reklis, 1994. "Mathematical Achievement in Eighth Grade: Interstate and Racial Differences," NBER Working Papers 4784, National Bureau of Economic Research, Inc.
    4. Altonji, Joseph G & Dunn, Thomas A, 1996. "Using Siblings to Estimate the Effect of School Quality on Wages," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 665-671, November.
    5. Carneiro, Pedro & Heckman, James J & Masterov, Dimitriy V, 2005. "Labor Market Discrimination and Racial Differences in Premarket Factors," Journal of Law and Economics, University of Chicago Press, vol. 48(1), pages 1-39, April.
    6. David Card & Alan B. Krueger, 1992. "School Quality and Black-White Relative Earnings: A Direct Assessment," The Quarterly Journal of Economics, Oxford University Press, vol. 107(1), pages 151-200.
    7. Robertson, Donald & Symons, James, 1990. "The Occupational Choice of British Children," Economic Journal, Royal Economic Society, vol. 100(402), pages 828-841, September.
    8. Alan B. Krueger, 1998. "Reassessing the view that American schools are broken," Economic Policy Review, Federal Reserve Bank of New York, vol. 4(Mar), pages 29-43.
    9. Carneiro, Pedro & Heckman, James J., 2003. "Human Capital Policy," IZA Discussion Papers 821, Institute of Labor Economics (IZA).
    10. Arleen Leibowitz, 1974. "Home Investments in Children," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 432-456, National Bureau of Economic Research, Inc.
    11. Hanushek, Eric A., 2006. "School Resources," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 2, chapter 14, pages 865-908, Elsevier.
    12. 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.
    13. Michael A. Boozer & Alan B. Kreuger & Shari Wolkon, 1992. "Race and School Quality Since Brown v. Board of Education," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(1992 Micr), pages 269-338.
    14. Sonalde Desai & P. L. Chase-Lansdale & Robert Michael, "undated". "Mother or Market? Effects of Maternal Employment on Cognitive Development of Four-year-old Children," University of Chicago - Population Research Center 88-11, Chicago - Population Research Center.
    15. Janet Currie & Duncan Thomas, 1999. "Early Test Scores, Socioeconomic Status and Future Outcomes," NBER Working Papers 6943, National Bureau of Economic Research, Inc.
    16. 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 869-895, October.
    17. 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.
    18. David Card & Alan Krueger, 1996. "Labor Market Effects of School Quality: Theory and Evidence," Working Papers 736, Princeton University, Department of Economics, Industrial Relations Section..
    19. repec:fth:prinin:395 is not listed on IDEAS
    20. Cook, Michael D & Evans, William N, 2000. "Families or Schools? Explaining the Convergence in White and Black Academic Performance," Journal of Labor Economics, University of Chicago Press, vol. 18(4), pages 729-754, October.
    21. Murnane, Richard J & Willett, John B & Levy, Frank, 1995. "The Growing Importance of Cognitive Skills in Wage Determination," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 251-266, May.
    22. Eric A. Hanushek, 1998. "Conclusions and controversies about the effectiveness of school resources," Economic Policy Review, Federal Reserve Bank of New York, vol. 4(Mar), pages 11-27.
    23. Alan B. Krueger, 2003. "Economic Considerations and Class Size," Economic Journal, Royal Economic Society, vol. 113(485), pages 34-63, February.
    24. 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.
    25. Murnane, Richard J & Maynard, Rebecca A & Ohls, James C, 1981. "Home Resources and Children's Achievement," The Review of Economics and Statistics, MIT Press, vol. 63(3), pages 369-377, August.
    26. Rosenzweig, Mark R & Wolpin, Kenneth I, 1995. "Sisters, Siblings, and Mothers: The Effect of Teen-Age Childbearing on Birth Outcomes in a Dynamic Family Context," Econometrica, Econometric Society, vol. 63(2), pages 303-326, March.
    27. David Card & Alan B. Krueger, 1996. "Labor Market Effects of School Quality: Theory and Evidence," NBER Working Papers 5450, National Bureau of Economic Research, Inc.
    28. Blau, Francine D & Grossberg, Adam J, 1992. "Maternal Labor Supply and Children's Cognitive Development," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 474-481, August.
    29. Alan Krueger, 1998. "Reassessing the View that American Schools Are Broken," Working Papers 774, Princeton University, Department of Economics, Industrial Relations Section..
    30. Betts, Julian R, 1995. "Does School Quality Matter? Evidence from the National Longitudinal Survey of Youth," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 231-250, May.
    31. Roland G. Fryer & Steven D. Levitt, 2004. "Understanding the Black-White Test Score Gap in the First Two Years of School," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 447-464, May.
    32. Rosenzweig, Mark R & Schultz, T Paul, 1982. "Market Opportunities, Genetic Endowments, and Intrafamily Resource Distribution: Child Survival in Rural India," American Economic Review, American Economic Association, vol. 72(4), pages 803-815, September.
    33. John J. Donohue III & James J. Heckman & Petra E. Todd, 2002. "The Schooling of Southern Blacks: The Roles of Legal Activism and Private Philanthropy, 1910–1960," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 225-268.
    34. Summers, Anita A & Wolfe, Barbara L, 1977. "Do Schools Make a Difference?," American Economic Review, American Economic Association, vol. 67(4), pages 639-652, September.
    35. Arleen Leibowitz, 1974. "Home Investments in Children," NBER Chapters, in: Marriage, Family, Human Capital, and Fertility, pages 111-135, National Bureau of Economic Research, Inc.
    36. Leibowitz, Arleen, 1974. "Home Investments in Children," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 111-131, Part II, .
    Full references (including those not matched with items on IDEAS)

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    JEL classification:

    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J15 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Minorities, Races, Indigenous Peoples, and Immigrants; Non-labor Discrimination
    • I20 - Health, Education, and Welfare - - Education - - - General

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