Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-07T18:38:51.134Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
Horan, C. B. Multidimensional scaling: Combining observations when individuals have different perceptual structures. Psychometrika, 1969, 34, 139–165.CrossRefGoogle Scholar
Jöreskog, K. G. A general method for analysis of covariance structures. Biometrika, 1970, 57, 239–251.CrossRefGoogle Scholar
Torgerson, W. S. Theory and methods of scaling, 1958, New York: John Wiley and Sons.Google Scholar