| Abstract: | McCullagh (1980) presented a comprehensive review of regression models for ordinal response variables. In these models, the functional relationship between the covariates and the response categories is dependent on the link function. This paper shows that discrimination between links is feasible when the response variable is ordinal. Using the log-gamma distribution of Prentice (1974), a generalized link function is constructed which allows discrimination between the probit, log-log, and complementary log-log links. Sample-size considerations are noted, and examples are presented. |
