Comparison of goodness-of-fit measures in probit regression model

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.