Analysis of ordered categorical data from repeated measurements assuming a quantitative latent variable

  • Hiroyuki Uesaka
  • Chooichiro Asano


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.

Key words and phrases

Ordered category repeated measurements linear model weighted least square latent scale latent distribution 


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Copyright information

© The Institute of Statistical Mathematics, Tokyo 1987

Authors and Affiliations

  • Hiroyuki Uesaka
    • 1
  • Chooichiro Asano
    • 1
  1. 1.Kyushu UniversityKyushuJapan

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