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Identification and Decompositions in Probit and Logit Models

Author

Listed:
  • Chung Choe

    (Hanyang University)

  • SeEun Jung

    (Department of Economics, Inha University)

  • Ronald L. Oaxaca

    (University of Arizona)

Abstract

Probit and logit models typically require a normalization on the error variance for model identification. This paper shows that in the context of sample mean probability decompositions, error variance normalizations preclude estimation of the effects of group differences in the latent variable model parameters. An empirical example is provided for a model in which the error variances are identified. This identification allows the effects of group differences in the latent variable model parameters to be estimated.

Suggested Citation

  • Chung Choe & SeEun Jung & Ronald L. Oaxaca, 2017. "Identification and Decompositions in Probit and Logit Models," Inha University IBER Working Paper Series 2017-8, Inha University, Institute of Business and Economic Research, revised Jul 2017.
    • Handle: RePEc:inh:wpaper:2017-8
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    References listed on IDEAS

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    1. Fortin, Nicole & Lemieux, Thomas & Firpo, Sergio, 2011. "Decomposition Methods in Economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 1, pages 1-102, Elsevier.
    2. Wolff, François-Charles, 2012. "Decomposition of non-linear models using simulated residuals," Economics Letters, Elsevier, vol. 116(3), pages 346-348.
    3. Nicolas de Roos & Yianis Sarafidis, 2010. "Decision making under risk in Deal or No Deal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(6), pages 987-1027.
    4. Jung, SeEun & Choe, Chung & Oaxaca, Ronald L., 2018. "Gender wage gaps and risky vs. secure employment: An experimental analysis," Labour Economics, Elsevier, vol. 52(C), pages 112-121.
    5. Layard, R. & Mayraz, G. & Nickell, S., 2008. "The marginal utility of income," Journal of Public Economics, Elsevier, vol. 92(8-9), pages 1846-1857, August.
    6. Cox, James C & Oaxaca, Ronald L, 1989. "Laboratory Experiments with a Finite-Horizon Job-Search Model," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 301-329, September.
    7. Yun, Myeong-Su, 2004. "Decomposing differences in the first moment," Economics Letters, Elsevier, vol. 82(2), pages 275-280, February.
    8. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, February.
    9. Ronald L. Oaxaca & Michael R. Ransom, 1999. "Identification in Detailed Wage Decompositions," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 154-157, February.
    10. Robert Gertner, 1993. "Game Shows and Economic Behavior: Risk-Taking on "Card Sharks"," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 507-521.
    11. Thomas Bauer & Mathias Sinning, 2008. "An extension of the Blinder–Oaxaca decomposition to nonlinear models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(2), pages 197-206, May.
    12. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December.
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    Cited by:

    1. Sierminska, Eva & Oaxaca, Ronald L., 2022. "Gender differences in economics PhD field specializations with correlated choices," Labour Economics, Elsevier, vol. 79(C).

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    More about this item

    Keywords

    Decompositions; Probit; Logit; Identification;
    All these keywords.

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • J16 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Gender; Non-labor Discrimination
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • J71 - Labor and Demographic Economics - - Labor Discrimination - - - Hiring and Firing

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