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Latent scale linear models for multivariate ordinal responses and analysis by the method of weighted least squares

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Summary

A multivariate latent scale linear model is defined for multivariate ordered categorical responses and inference procedures based on the weighted least squares method are developed. Several applications of the model are suggested and illustrated through an analysis of real data. Asymptotic properties of the weighted least squares method are examined and some consequences of misspecification of the model are also discussed.

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Author notes

  1. Hiroyuki Uesaka & Chooichiro Asano

    Present address: Hoechst Japan Ltd., Japan

Authors and Affiliations

  1. Kyushu University, Kyyushu, Japan

    Hiroyuki Uesaka & Chooichiro Asano

Authors
  1. Hiroyuki Uesaka
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  2. Chooichiro Asano
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Uesaka, H., Asano, C. Latent scale linear models for multivariate ordinal responses and analysis by the method of weighted least squares. Ann Inst Stat Math 39, 191–210 (1987). https://doi.org/10.1007/BF02491459

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  • DOI: https://doi.org/10.1007/BF02491459

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