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Multidimensional Unfolding: Determining the Dimensionality of Ranked Preference Data

Published online by Cambridge University Press:  01 January 2025

Joseph F. Bennett  and
William L. Hays
Joseph F. Bennett
Affiliation:
Lincoln Laboratories, Massachusetts Institute of Technology
William L. Hays
Affiliation:
University of Michigan
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Abstract

A model is proposed which treats rankings given by a group of judges as representing regions in an isotonic space of dimensionality r. Three possible criteria for estimating lower bound dimensionality are discussed: mutual boundary, cardinality, and the occurrence of transposition groups. Problems associated with each criterion are mentioned.

Type
Original Paper
Information
Psychometrika , Volume 25 , Issue 1 , March 1960 , pp. 27 - 43
Copyright
Copyright © 1960 The Psychometric Society

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Footnotes

*

Deceased.

References

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