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Comparison of Goodness-of-Fit Measures in Probit Regression Model
Authors:Berna Yazici  Özlem Alpu  Yaning Yang
Affiliation:1. Department of Statistics , Anadolu University , Eskisehir, Turkey bernayazici@gmail.com;3. Department of Statistics , Eskisehir Osmangazi University , Eskisehir, Turkey;4. Department of Statistics and Finance , University of Science and Technology of China , Hefei, China
Abstract:This article examines several goodness-of-fit measures in the binary probit regression model. Existing pseudo-R 2 measures are reviewed, two modified and one new pseudo-R 2 measure are proposed. For the probit regression model, empirical comparisons are made for different goodness-of-fit measures with the squared sample correlation coefficient of the observed response and the predicted probabilities. As an illustration, the goodness-of-fit measures are applied to a “paid labor force” data set.
Keywords:Binary choice model  Goodness-of-fit (GOF)  Probit regression model  Pseudo-R 2
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