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Estimation of J Scales for Unidimensional Unfolding

Published online by Cambridge University Press:  01 January 2025

Thomas P. Hettmansperger  and
Hoben Thomas
Thomas P. Hettmansperger
Affiliation:
The Pennsylvania State University
Hoben Thomas
Affiliation:
The Pennsylvania State University
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Abstract

In Coombs' unidimensional unfolding theory each individual ranks all stimuli, often in terms of preference judgments. These ranks, called I scales, are used to infer the latent continuum called a J scale which is presumed to have generated the I scale rankings. A major problem concerns the inference of the J scale given a set of I scales because an I scale is not unique to any one J scale. This paper presents a procedure for estimating J scale probabilities given a set of I scales. Models for three and four or more stimuli are presented. Results of computer tests are reported.

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 2 , June 1973 , pp. 269 - 284
Copyright
Copyright © 1973 The Psychometric Society

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References

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