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An Application of Logistic Models to the Analysis of Ordinal Responses

An Application of Logistic Models to the Analysis of Ordinal Responses Logistic probability models—models linear in the log odds of the outcome event—have found extensive application in modelling of unordered categorical responses. This paper illustrates some extensions of logistic models to the modelling of probabilities of ordinal responses. The extensions arise naturally from discrete probability models for the conditional distribution of the ordinal response, as well as from linear modelling of the log odds of response. Methods of estimation and examination of fit developed for the binary logistic model extend in a straightforward manner to the ordinal models. The models and methods are illustrated in an analysis of the dependence of chronic obstructive respiratory disease prevalence on smoking and age. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Biometrical Journal Wiley

An Application of Logistic Models to the Analysis of Ordinal Responses

Biometrical Journal , Volume 27 (2) – Jan 1, 1985

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References (10)

Publisher
Wiley
Copyright
Copyright © 1985 WILEY‐VCH Verlag GmbH & Co. KGaA
ISSN
0323-3847
eISSN
1521-4036
DOI
10.1002/bimj.4710270212
Publisher site
See Article on Publisher Site

Abstract

Logistic probability models—models linear in the log odds of the outcome event—have found extensive application in modelling of unordered categorical responses. This paper illustrates some extensions of logistic models to the modelling of probabilities of ordinal responses. The extensions arise naturally from discrete probability models for the conditional distribution of the ordinal response, as well as from linear modelling of the log odds of response. Methods of estimation and examination of fit developed for the binary logistic model extend in a straightforward manner to the ordinal models. The models and methods are illustrated in an analysis of the dependence of chronic obstructive respiratory disease prevalence on smoking and age.

Journal

Biometrical JournalWiley

Published: Jan 1, 1985

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