A Latent Scale Linear Model for Ordered Categorical Responses
Hiroyuki Uesaka, Choichiro Asano, 浩之 上坂, 長一郎 浅野 · QIR (Kyushu University Institutional Repository) (Kyushu University) · 1985
The present paper is related to a contingency table with an ordered categorical response. The ordered categories are assumed to be manifestations of an unobservable quantitative response or trait, and the linear models for location parameters of the underlying distributions are considered. This model is referred to as the latent scale linear model. It is stressed that latent scales and families of distributions are substantial to the models and their properties are discussed. Several models proposed earlier are reconsidered in the framework of the latent scale linear model. The model is illustrated through two examples.