Analysis of ordered categorical data from repeated measurements assuming a quantitative latent variable |
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Authors: | Hiroyuki Uesaka Chooichiro Asano |
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Institution: | (1) Kyushu University, Kyushu, Japan;(2) Present address: Hoechst Japan Ltd., Janpan |
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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. |
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Keywords: | Ordered category repeated measurements linear model weighted least square latent scale latent distribution |
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