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Analysis of ordered categorical data from repeated measurements assuming a quantitative latent variable
Authors:Hiroyuki Uesaka  Chooichiro Asano
Institution:(1) Kyushu University, Kyushu, Japan;(2) Present address: Hoechst Japan Ltd., Janpan
Abstract:Summary The purpose of the present paper is to propose an analytical method for ordered categorical responses obtained from a repeated measurement/longitudinal experiment. The ordered categorical scale is assumed to be a manifestation of a latent quantitative variable. A linear model is assumed for location parameters of the underlying distributions. Weighted least square method is applied to parameter estimation and subsequent analysis. Two data sets are analyzed to show several aspects of analysis by the proposed model and to discuss comparative characteristics of analysis compared with earlier analysis. A mention is made for a computer software program for the proposed model.
Keywords:Ordered category  repeated measurements  linear model  weighted least square  latent scale  latent distribution
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