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Random Versus Rational Strategies for Initial Configurations in Nonmetric Multidimensional Scaling

Published online by Cambridge University Press:  01 January 2025

Phipps Arabie
Phipps Arabie*
Affiliation:
University of Minnesota
*
Requests for reprints should be sent to Phipps Arabic, Department of Psychology, Elliott Hall, University of Minnesota, Minneapolis, Minnesota 55455.
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Abstract

An examination is made concerning the utility and design of studies comparing nonmetric scaling algorithms and their initial configurations, as well as the agreement between the results of such studies. Various practical details of nonmetric scaling are also considered.

Keywords

initial configurationoptimizationMonte Carlo
Type
Notes and Comments
Information
Psychometrika , Volume 43 , Issue 1 , March 1978 , pp. 111 - 113
Copyright
Copyright © 1978 The Psychometric Society

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Footnotes

This research was supported by NSF Grants SOC 76-24512 and SOC 76-24394.

References

Reference Note

Kruskal, J. B., Young, F. W. & Seery, J. B. How to use KYST, a very flexible program to do multidimensional scaling and unfolding, 1973, Murray Hill, NJ: Bell Telephone Laboratories.Google Scholar

References

Arabie, P. Concerning Monte Carlo evaluations of nonmetric multidimensional scaling algorithms. Psychometrika, 1973, 38, 607–608.CrossRefGoogle Scholar
Clark, A. K. Re-evaluation of Monte Carlo studies in nonmetric multidimensional scaling. Psychometrika, 1976, 41, 401–403.CrossRefGoogle Scholar
Cohen, H. S. & Jones, L. E. The effects of random error and subsampling of dimensions on recovery of configurations by non-metric multidimensional scaling. Psychometrika, 1974, 39, 69–90.CrossRefGoogle Scholar
Guttman, L. General nonmetric technique for finding smallest coordinate space for a configuration of points. Psychometrika, 1968, 33, 469–506.CrossRefGoogle Scholar
Klahr, D. A Monte Carlo investigation of the statistical significance of Kruskal's nonmetric scaling procedure. Psychometrika, 1969, 34, 319–330.CrossRefGoogle Scholar
Kruskal, J. B. Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 1964, 29, 1–27.CrossRefGoogle Scholar
Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method. Psychometrika, 1964, 29, 115–129.CrossRefGoogle Scholar
Lingoes, J. C., & Roskam, E. E. A mathematical and empirical analysis of two multidimensional scaling algorithms. Psychometrika Monograph Supplement, 1973, 38 (4, pt. 2).Google Scholar
Shepard, R. N. The analysis of proximities: Multidimensional scaling with an unknown distance function. I. Psychometrika, 1962, 27, 125–140.CrossRefGoogle Scholar
Spaeth, H. J. & Guthery, S. B. The use and utility of the monotone criterion in multidimensional scaling. Multivariate Behavioral Research, 1969, 4, 501–515.CrossRefGoogle ScholarPubMed
Spence, I. A Monte Carlo evaluation of three nonmetric scaling algorithms. Psychometrika, 1972, 37, 461–486.CrossRefGoogle Scholar
Spence, I. On random rankings in nonmetric scaling. Psychometrika, 1974, 39, 267–268.CrossRefGoogle Scholar
Spence, I. & Ogilvie, J. C. A table of expected stress values for random rankings in nonmetric multidimensional scaling. Multivariate Behavioral Research, 1973, 8, 511–517.CrossRefGoogle ScholarPubMed
Stenson, H. H., & Knoll, R. L. Goodness of fit for random rankings in Kruskal's nonmetric scaling procedure. Psychological Bulletin, 1969, 71, 122–126.CrossRefGoogle Scholar
Wagenaar, W. A., & Padmos, P. Quantitative interpretation of stress in Kruskal's multidimensional scaling technique. British Journal of Mathematical and Statistical Psychology, 1971, 24, 101–110.CrossRefGoogle Scholar
Young, F. W. TORSCA-9: A FORTRAN IV program for nonmetric multidimensional scaling. Behavioral Science, 1968, 13, 343–344.CrossRefGoogle Scholar