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Spatial and Conjoint Models Based on Pairwise Comparisons of Dissimilarities and Combined Effects: Complete and Incomplete Designs

Published online by Cambridge University Press:  01 January 2025

Randall Bissett  and
Bruce Schneider
Randall Bissett
Affiliation:
University of Toronto
Bruce Schneider*
Affiliation:
University of Toronto
*
Requests for reprints should be sent to Bruce Schneider, Department of Psychology, Erindale Campus, University of Toronto, Mississauga, Ontario L5L 1C6, CANADA
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Abstract

In pairwise multidimensional scaling, a spatial representation for a set of objects is determined from comparisons of the dissimilarity of any two objects drawn from the set to the dissimilarity of other pairs of objects drawn from that set. In pairwise conjoint scaling, comparisons among the joint effects produced by pairs of objects, where the objects in a pair are drawn from separate sets, are used to determine numerical representations for the objects in each set. Monte Carlo simulations of both pairwise dissimilarities and pairwise conjoint effects show that Johnson's algorithm can provide good metric recovery in the presence of high levels of error even when only a small percentage of the complete set of pairwise comparisons are tested.

Keywords

nonmetric multidimensional scalingconjoint measurementpaired comparisonsincomplete designs
Type
Original Paper
Information
Psychometrika , Volume 56 , Issue 4 , December 1991 , pp. 685 - 698
Copyright
Copyright © 1991 The Psychometric Society

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Footnotes

This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada. We thank Scott Parker for his comments on an earlier version of this manuscript.

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