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On The Specification and Estimation of The Production Function for Cognitive Achievement

Author

Listed:
  • Petra E. Todd

    (University of Pennsylvania)

  • Kenneth I. Wolpin

    (University of Pennsylvania)

Abstract

This paper considers methods for modelling the production function for cognitive achievement in a way that captures theoretical notions that child development is a cumulative process depending on the history of family and school inputs and on innate ability. It develops a general modelling framework that accommodates many of the estimating equations used in the literatures. It considers different ways of addressing data limitations, and it makes precise the identifying assumptions needed to justify alternative approaches. Commonly used specifications are shown to place restrictive assumptions on the production technology. Ways of testing modelling assumptions and of relaxing them are discussed. Copyright Royal Economic Society 2003

Suggested Citation

  • 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.
    • Handle: RePEc:ecj:econjl:v:113:y:2003:i:485:p:f3-f33
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    References listed on IDEAS

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    1. Mark R. Rosenzweig & Kenneth I. Wolpin, 1988. "Heterogeneity, Intrafamily Distribution, and Child Health," Journal of Human Resources, University of Wisconsin Press, vol. 23(4), pages 437-461.
    2. Steven G. Rivkin & Eric A. Hanushek & John F. Kain, 2005. "Teachers, Schools, and Academic Achievement," Econometrica, Econometric Society, vol. 73(2), pages 417-458, March.
    3. James J. Heckman, 2001. "Micro Data, Heterogeneity, and the Evaluation of Public Policy: Nobel Lecture," Journal of Political Economy, University of Chicago Press, vol. 109(4), pages 673-748, August.
    4. Alan B. Krueger, 1999. "Experimental Estimates of Education Production Functions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 497-532.
    5. 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.
    6. Becker, Gary S & Tomes, Nigel, 1976. "Child Endowments and the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 143-162, August.
    7. 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.
    8. McCallum, B T, 1972. "Relative Asymptotic Bias from Errors of Omission and Measurement," Econometrica, Econometric Society, vol. 40(4), pages 757-758, July.
    9. repec:fth:prinin:379 is not listed on IDEAS
    10. 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.
    11. Eric A. Hanushek, 2003. "The Failure of Input-Based Schooling Policies," Economic Journal, Royal Economic Society, vol. 113(485), pages 64-98, February.
    12. Christian Dustmann & Najma Rajah & Arthur van Soest, 2003. "Class Size, Education, and Wages," Economic Journal, Royal Economic Society, vol. 113(485), pages 99-120, February.
    13. Alan Krueger, 1998. "Reassessing the View that American Schools Are Broken," Working Papers 774, Princeton University, Department of Economics, Industrial Relations Section..
    14. Hanushek, Eric A., 2002. "Publicly provided education," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 30, pages 2045-2141, Elsevier.
    15. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 352-352.
    16. 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.
    17. 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.
    18. Sonalde Desai & P. Chase-Lansdale & Robert Michael, 1989. "Mother or Market? Effects of Maternal Employment on the Intellectual Ability of 4-Year-Old Children," Demography, Springer;Population Association of America (PAA), vol. 26(4), pages 545-561, November.
    19. 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.
    20. 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.
    21. Alan B. Krueger, 2003. "Economic Considerations and Class Size," Economic Journal, Royal Economic Society, vol. 113(485), pages 34-63, February.
    22. Edward Vytlacil & James J. Heckman, 2001. "Policy-Relevant Treatment Effects," American Economic Review, American Economic Association, vol. 91(2), pages 107-111, May.
    23. 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.
    24. 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.
    25. 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.
    26. Janet Currie & Duncan Thomas, 1999. "Early Test Scores, Socioeconomic Status and Future Outcomes," NBER Working Papers 6943, National Bureau of Economic Research, Inc.
    27. 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.
    28. James J. Heckman, 2000. "Causal Parameters and Policy Analysis in Economics: A Twentieth Century Retrospective," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 45-97.
    29. Mark R. Rosenzweig & Kenneth I. Wolpin, 1994. "Are There Increasing Returns to the Intergenerational Production of Human Capital? Maternal Schooling and Child Intellectual Achievement," Journal of Human Resources, University of Wisconsin Press, vol. 29(2), pages 670-693.
    30. 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.
    31. Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-552, September.
    32. repec:fth:prinin:395 is not listed on IDEAS
    33. 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.
    34. Leibowitz, Arleen, 1974. "Home Investments in Children," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 111-131, Part II, .
    35. Dan D. Goldhaber & Dominic J. Brewer, 1997. "Why Don't Schools and Teachers Seem to Matter? Assessing the Impact of Unobservables on Educational Productivity," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 505-523.
    36. 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.
    37. Hanushek, Eric A, 1986. "The Economics of Schooling: Production and Efficiency in Public Schools," Journal of Economic Literature, American Economic Association, vol. 24(3), pages 1141-1177, September.
    38. Joshua D. Angrist & Victor Lavy, 1999. "Using Maimonides' Rule to Estimate the Effect of Class Size on Scholastic Achievement," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 533-575.
    39. Alan Krueger, 1997. "Experimental Estimates of Education Production Functions," Working Papers 758, Princeton University, Department of Economics, Industrial Relations Section..
    40. 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.
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