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Multiple‐Output Child Health Production Functions: The Impact of Time‐Varying and Time‐Invariant Inputs

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  • Mark D. Agee
  • Scott E. Atkinson
  • Thomas D. Crocker

Abstract

Many production activities generate undesirable outputs in conjunction with the desirable outputs. In this paper we present the first estimates of a multiple‐input, multiple‐output directional distance function that relates good and bad inputs from home, school, and environment to good and bad outputs, measured as children's cognitive and behavioral development. This household directional distance function is estimated using a balanced panel of 369 families from the National Longitudinal Survey of Youth‐Child Sample for 1996 to 2000 using the generalized method of moments within estimator and instrumental variables. We recover consistent partial effects for the time‐invariant variables in a second‐stage regression and estimate their corrected asymptotic standard errors. We then compute and examine productivity differences among households defined as the increase (decrease) in good (bad) outputs that families could attain with constant inputs if they were operating on the technological frontier. Our estimates suggest the presence of significant inefficiency among sample families that diminishes over time.

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  • Mark D. Agee & Scott E. Atkinson & Thomas D. Crocker, 2009. "Multiple‐Output Child Health Production Functions: The Impact of Time‐Varying and Time‐Invariant Inputs," Southern Economic Journal, John Wiley & Sons, vol. 75(3), pages 909-927, January.
  • Handle: RePEc:wly:soecon:v:75:y:2009:i:3:p:909-927
    DOI: 10.1002/j.2325-8012.2009.tb00938.x
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    1. Bloom, B. & Dawson, D., 1991. "Family structure and child health," American Journal of Public Health, American Public Health Association, vol. 81(11), pages 1526-1527.
    2. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    3. Jacobson, Lena, 2000. "The family as producer of health -- an extended grossman model," Journal of Health Economics, Elsevier, vol. 19(5), pages 611-637, September.
    4. Lee, Lung-fei & Rosenzweig, Mark R. & Pitt, Mark M., 1997. "The effects of improved nutrition, sanitation, and water quality on child health in high-mortality populations," Journal of Econometrics, Elsevier, vol. 77(1), pages 209-235, March.
    5. Currie, Janet & Thomas, Duncan, 1995. "Does Head Start Make a Difference?," American Economic Review, American Economic Association, vol. 85(3), pages 341-364, June.
    6. Ernst Fehr & Jean-Robert Tyran, 2005. "Individual Irrationality and Aggregate Outcomes," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 43-66, Fall.
    7. Lundberg, Shelly & Pollak, Robert A, 1993. "Separate Spheres Bargaining and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 988-1010, December.
    8. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    9. Steinar Vagstad, 2001. "On private incentives to acquire household production skills," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(2), pages 301-312.
    10. Robert Haveman & Barbara Wolfe, 1995. "The Determinants of Children's Attainments: A Review of Methods and Findings," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1829-1878, December.
    11. Janet Currie & Duncan Thomas, 2000. "School Quality and the Longer-Term Effects of Head Start," Journal of Human Resources, University of Wisconsin Press, vol. 35(4), pages 755-774.
    12. 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.
    13. Heiner, Ronald A, 1983. "The Origin of Predictable Behavior," American Economic Review, American Economic Association, vol. 73(4), pages 560-595, September.
    14. Mark D. Agee & Thomas D. Crocker, 1996. "Parental Altruism and Child Lead Exposure: Inferences from the Demand for Chelation Therapy," Journal of Human Resources, University of Wisconsin Press, vol. 31(3), pages 677-691.
    15. Browning, Martin, 1992. "Children and Household Economic Behavior," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1434-1475, September.
    16. C. Russell Hill & Frank P. Stafford, 1980. "Parental Care of Children: Time Diary Estimates of Quantity, Predictability, and Variety," Journal of Human Resources, University of Wisconsin Press, vol. 15(2), pages 219-239.
    17. Jason Abrevaya, 2001. "The effects of demographics and maternal behavior on the distribution of birth outcomes," Empirical Economics, Springer, vol. 26(1), pages 247-257.
    18. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    19. David M. Blau, 1999. "The Effect Of Income On Child Development," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 261-276, May.
    20. 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.
    21. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
    22. Nelson, Julie A, 1994. "On Testing for Full Insurance Using Consumer Expenditure Survey Data: Comment," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 384-394, April.
    23. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74(2), pages 132-132.
    24. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    25. Agee, Mark D. & Crocker, Thomas D., 1994. "Parental and social valuations of child health information," Journal of Public Economics, Elsevier, vol. 55(1), pages 89-105, September.
    26. Jinyong Hahn & Jerry Hausman, 2003. "Weak Instruments: Diagnosis and Cures in Empirical Econometrics," American Economic Review, American Economic Association, vol. 93(2), pages 118-125, May.
    27. Currie, Janet, 2000. "Child health in developed countries," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 19, pages 1053-1090, Elsevier.
    28. Pollak, Robert A & Wachter, Michael L, 1975. "The Relevance of the Household Production Function and Its Implications for the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 255-277, April.
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