✦ LIBER ✦

An Extended Threshold Model for Analyzing Ordered Categorical Data

✍ Scribed by Prof. Dr. H. D. Quednau

Publisher: John Wiley and Sons
Year: 1988
Tongue: English
Weight: 486 KB
Volume: 30
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710300204

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents an extended threshold model for analyzing ordered categorical date. The model admits interactions between the position of the thresholds and the levels of the effective factors.

These interactions are described according to the approach of &=EN and GRAYBILL (1970).

hpecially imporbnt for practical application is the special essumption that there is a h e a r relation between interactions and thresholds, and that the elopes of the concerning regreasion lines may be different for samples. This means that the latent variables are distributed according to the same type of distributions, but may have different expectations and variances. Underlying this submodel, the estimation of parameters and the testing of hypothew according to the maximum likelihood method is described. The procedure is i ~~u s t r a t e d by a numerical example, and an outline is given about a cluster analysis using model parameters.

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**Praise for the First Edition** "This is a superb text from which to teach categorical data analysis, at a variety of levels. . . [t]his book can be very highly recommended." —*Short Book Reviews* "Of great interest to potential readers is the variety of fields that are represented in the examp