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A Two-Stage Estimator for Probit Models with Structural Group Effects

  • George J. Borjas
  • Glenn T. Sueyoshi

This paper outlines a two-stage technique for estimation and inference in probit models with structural group effects. The structural group specification belongs to a broader class of random components models. In particular, individuals in a given group share a common component in the specification of the conditional mean of a latent variable. For a number of computational reasons, existing random-effects models are impractical for estimation and inference in this type of problem. Our two-stage estimator provides an easily estimable alternative to the random effect specification. In addition, we conduct a Monte Carlo simulation comparing the performance of alternative estimators, and find that the two-stage estimator is superior -- both in terms of estimation and inference -- to traditional estimators.

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File URL: http://www.nber.org/papers/t0146.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0146.

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Date of creation: Nov 1993
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Publication status: published as Borjas, George J. and Glenn T. Sueyoshi. "A Two-Stage Estimator For Probit Models With Structural Group Effects," Journal of Econometrics, 1994, v64(1/2), 165-182.
Handle: RePEc:nbr:nberte:0146
Note: LS
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  1. Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
  2. Robinson, Peter M, 1982. "On the Asymptotic Properties of Estimators of Models Containing Limited Dependent Variables," Econometrica, Econometric Society, vol. 50(1), pages 27-41, January.
  3. Borjas, George J, 1987. "Self-Selection and the Earnings of Immigrants," American Economic Review, American Economic Association, vol. 77(4), pages 531-53, September.
  4. David G. Blanchflower & Andrew J. Oswald, 1995. "The Wage Curve," MIT Press Books, The MIT Press, edition 1, volume 1, number 026202375x, June.
  5. Amemiya, Takeshi, 1978. "A Note on a Random Coefficients Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 793-96, October.
  6. George J. Borjas, 1991. "Ethnic Capital and Intergenerational Mobility," NBER Working Papers 3788, National Bureau of Economic Research, Inc.
  7. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-98, November.
  8. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
  9. repec:cup:cbooks:9780521818551 is not listed on IDEAS
  10. Avery, Robert B & Hansen, Lars Peter & Hotz, V Joseph, 1983. "Multiperiod Probit Models and Orthogonality Condition Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 21-35, February.
  11. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
  12. James J. Heckman & Robert J. Willis, 1974. "Estimation of a Stochastic Model of Reproduction: An Econometric Approach," NBER Working Papers 0034, National Bureau of Economic Research, Inc.
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