Identification and Decompositions in Probit and Logit Models
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.
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- Jung, Seeun & Choe, Chung & Oaxaca, Ronald L., 2016. "Gender Wage Gaps and Risky vs. Secure Employment: An Experimental Analysis," IZA Discussion Papers 10132, Institute for the Study of Labor (IZA).
- Wolff, François-Charles, 2012.
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- 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.
- Bauer, Thomas K. & Sinning, Mathias, 2006. "An Extension of the Blinder-Oaxaca Decomposition to Non-Linear Models," RWI Discussion Papers 49, RWI - Leibniz-Institut für Wirtschaftsforschung.
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