A New Approach in Modeling a Categorical Response. I. Binary Case
Mendel Fygenson · Journal of the American Statistical Association · 1997
A new approach in modeling categorical response variables is presented. This approach is based on characterizing symmetrical and unimodal distributions with respect to the biological mechanisms that they describe. This characterization is achieved through the notion of the intrinsic odds ratio. Two nonparametric classes of distributions are introduced, and discrimination among symmetric unimodal distributions is demonstrated. Two extended models for binary response variables—increasing and decreasing odds-ratio models—are presented.