A UNIFIED FRAMEWORK FOR THE COMPARISON OF TREATMENTS WITH ORDINAL RESPONSES
Publication in refereed journal


Times Cited
Web of Science5WOS source URL (as at 17/01/2021) Click here for the latest count
Altmetrics Information
.

Other information
AbstractDifferent latent variable models have been used to analyze ordinal categorical data which can be conceptualized as manifestations of an unobserved continuous variable. In this paper, we propose a unified framework based on a general latent variable model for the comparison of treatments with ordinal responses. The latent variable model is built upon the location-scale family and is rich enough to include many important existing models for analyzing ordinal categorical variables, including the proportional odds model, the ordered probit-type model, and the proportional hazards model. A flexible estimation procedure is proposed for the identification and estimation of the general latent variable model, which allows for the location and scale parameters to be freely estimated. The framework advances the existing methods by enabling many other popular models for analyzing continuous variables to be used to analyze ordinal categorical data, thus allowing for important statistical inferences such as location and/or dispersion comparisons among treatments to be conveniently drawn. Analysis on real data sets is used to illustrate the proposed methods.
All Author(s) ListLu TY, Poon WY, Cheung SH
Journal namePsychometrika
Year2014
Month10
Day1
Volume Number79
Issue Number4
PublisherSpringer Verlag (Germany)
Pages605 - 620
ISSN0033-3123
eISSN1860-0980
LanguagesEnglish-United Kingdom
Keywordslatent variable model; location-scale family; ordinal responses
Web of Science Subject CategoriesMathematical Methods In Social Sciences; Mathematics; Mathematics, Interdisciplinary Applications; Psychology; Psychology, Mathematical; Social Sciences, Mathematical Methods

Last updated on 2021-18-01 at 00:09