Using Longitudinal Data to Estimate Age, Period and Cohort Effects in Earnings Equations

  • James Heckman
  • Richard Robb

Abstract

The literature on the determinants of earnings suggest an earnings function for individual i which depends on age ai, year t, “vintage” or “cohort” schooling level si, and experience ei. Adopting a linear function to facilitate exposition we may write
$${Y_i}(t,{a_i},{c_i},{e_i},{s_i}) = {\alpha _0} + {\alpha _1}{a_i} + {\alpha _2}t + {\alpha _3}{e_i} + {\alpha _4}{s_i} + {\alpha _5}{c_i}$$
(1)
where ei is experience, usually defined for males as age minus schooling, (ei = ai – si),1 and Yi may be any monotone transformation of earnings.

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References

  1. Aigner, D. et al. (1984). Latent variables in econometrics, in Z. Griliches and M. Intrilligator (eds.), Handbook of Econometrics. North Holland, forthcoming.Google Scholar
  2. Cagan, P. (1965). Measuring quality changes and the purchasing power of money: An explanatory study of automobiles. National Banking Review 3, 217–236. Reprinted in Z. Griliches (ed.), Price Indexes and Quality Change. Cambridge, Mass.: Harvard University Press, 1971.Google Scholar
  3. Easterlin, R. (1961). The American baby boom in historical perspective. American Economic Review 51, 869–911.Google Scholar
  4. Easterlin, R. (1978). What will 1984 be like? Socioeconomic implications of recent twists in the age structure. Demography 15, 397–432.CrossRefGoogle Scholar
  5. Feller, W. (1968). An Introduction to Probability Theory and Its Application. New York: Wiley.Google Scholar
  6. Fienberg, S.E. and Mason, W.M. (1978). Identification and estimation of age-period-cohort models in the analysis of discrete archival data, in K.F. Schuessler (ed.), Sociological Methodology 1979. San Francisco: Jossey-Bass, pp. 1–67.Google Scholar
  7. Fienberg, S.E. and Mason, W.M. (1985). Specification and implementation of age, period and cohort models. This volume.Google Scholar
  8. Goldberger, A.S. (1968). Topics in Regression Analysis. London: MacMillan.Google Scholar
  9. Hall, R.E. (1971). The measurement of quality change from vintage price data, in Z. Griliches (ed.), Price Indices and Quality Change. Cambridge, Mass.: Harvard University Press.Google Scholar
  10. Hanuschek, E. and Quigley, J. (1978). Implicit investment profiles and intertemporal adjustments in relative wages. American Economic Review 68, 67–79.Google Scholar
  11. Johnson, T. and Hebein, F. (1974). Investment in human capital and growth in personal income 1956–1966. American Economic Review 64 (4), 604–613.Google Scholar
  12. Johnson, G. and Stafford, F. (1974). Lifetime earnings in a professional labor market: Academic economists. Journal of Political Economy 82, 549–570.CrossRefGoogle Scholar
  13. Jöreskog, K. and Goldberger, A. (1975). Estimation of a model with multiple indicators and multiple causes of a Single latent variable. Journal ofthe American Statistical Association 70, 631–639.MATHCrossRefGoogle Scholar
  14. Lazear, E. (1976). Age, experience and wage growth. American Economic Review 66 (4), 548–580.Google Scholar
  15. Mincer, J. (1974). Schooling, Experience and Earnings. New York: Columbia University Press.Google Scholar
  16. Mincer, J. (1978). Comments on the Hanuschek-Quigley paper. Unpublished mimeo, Columbia University.Google Scholar
  17. Nerlove, M. (1967). Distributed lags and unobserved components of economic time series, in W. Fellner (ed.), Ten Economic Essays in the Tradition of Irving Fisher. New York: Wiley, pp. 120–169.Google Scholar
  18. Weiss, Y. and Lillard, L. (1978). Experience, vintage and time effects in the growth of earnings: American scientists, 1960-1970. Journal of Political Economy 86 (3), 427–447.CrossRefGoogle Scholar
  19. Welch, F. (1979). The effects of cohort size on earnings: The baby boom baby’s Financial bust. Journal of Political Economy 87 (5), 565–599.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • James Heckman
    • 1
    • 2
  • Richard Robb
    • 1
    • 2
  1. 1.Department of EconomicsUniversity of ChicagoUSA
  2. 2.National Opinion Research CenterUniversity of ChicagoUSA

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