#### Generalized Logit Model

For nominal response, a generalized logit model is to fit the ratio of the expected proportion for each response category over the expected proportion of a reference category with a logit link function.

Without loss of generality, let category be the reference category for the response variable Y. Denote the expected proportion for the dth category by as in the section Notation. Then the generalized logit model can be written as

for with the model parameters