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An Alternative Method of Fitting a Model of Individual Differences in Multidimensional Scaling

Published online by Cambridge University Press:  01 January 2025

Bruce Bloxom
Bruce Bloxom*
Affiliation:
Vanderbilt University
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Extract

In articles by Homn [1969] and Carroll and Chang [1970] and in a memorandum by Bloxom [1968], a model was proposed for individual differences in multidimensional scaling. The distance in a p-dimensional space between stimuli j and k for person i is assumed to be given by

for N persons and for all pairs of n stimuli, where wim, is the “weight” given to axis m by person i and ajm, is the projection of stimulus j on that axis.

Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 3 , September 1974 , pp. 365 - 367
Copyright
Copyright © 1974 The Psychometric Society

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References

Bellman, R. R. Introduction to matrix analysis, 1960, New York: McGraw-Hill.Google Scholar
Bloxom, B. Individual differences in multidimensional scaling, 1968, Princeton, New Jersey: Educational Testing Service.CrossRefGoogle Scholar
Carroll, J. D. and Chang, J. J. Analysis of individual differences in multidimensional scaling via an N-way generalization of “Eckart-Young” decomposition. Psychometrika, 1970, 35, 283–319.CrossRefGoogle Scholar
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