Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-08T12:04:16.867Z Has data issue: false hasContentIssue false

The “Idealized Individual” Interpretation of Individual differences in Multidimensional Scaling

Published online by Cambridge University Press:  01 January 2025

Norman Cliff*
Affiliation:
University of Southern California

Abstract

It is shown that several variants of the Tucker-Messick points of view procedure are interpretable in terms of their “idealized individual” concepts. It is contended that the main function of the method is that it allows the computation of several vectors of mean judgments instead of only one and that each of these may be used to stand for the actual judgments of a subgroup of subjects. Vectors that do not correspond to the judgments of any subjects are to be avoided. It is alleged that Ross's interpretation of “points of view” is quite different from that intended by Tucker and Messick.

Type
Original Paper
Copyright
Copyright © 1968 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.)

Footnotes

*

The preparation of this paper was supported in part by Contract Nonr-228(32) between the Office of Navel Research and the University of Southern California.

References

Cliff, N. Analytic rotation to a functional relationship. Psychometrika, 1962, 27, 283295.CrossRefGoogle Scholar
Eckart, C. T., and Young, G. The approximation of one matrix by another of lower rank. Psychometrika, 1936, 1, 211218.CrossRefGoogle Scholar
Helm, C. E., and Tucker, L. R. Individual differences in the structure of color-perception. American Journal of Psychology, 1962, 75, 437444.CrossRefGoogle ScholarPubMed
Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method. Psychometrika, 1964, 29, 115129.CrossRefGoogle Scholar
Ross, J. A remark on Tucker and Messick's “Points of view” analysis. Psychometrika, 1966, 31, 2732.CrossRefGoogle Scholar
Tucker, L. R. Determination of generalized learning curves by factor analysis, Princeton: Educational Testing Service. (Mimeo.), 1960.Google Scholar
Tucker, L. R. Learning theory and multivariate experiment: Illustration by determination of generalized learning curves. In Cattell, R. B. (Eds.), Handbook of multi-variate experimental psychology. Chicago: Rand McNally, 1966, 476501.Google Scholar
Tucker, L. R., and Messick, S. An individual differences model for multidimensional scaling. Psychometrika, 1963, 28, 333367.Google Scholar
Wiggins, Nancy Individual viewpoints of social desirability. Psychological Bulletin, 1966, 66, 6877.CrossRefGoogle ScholarPubMed
Young, F. W., andPennell, R. Views: An IBM system/360 program for points of view analysis. Behavioral Science, 1967, 12, 166166.Google Scholar