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Random versus rational strategies for initial configurations in nonmetric multidimensional scaling

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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.

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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. Murray Hill, NJ: Bell Telephone Laboratories, 1973.

    Google Scholar 

References

  • Arabie, P. Concerning Monte Carlo evaluations of nonmetric multidimensional scaling algorithms.Psychometrika, 1973,38, 607–608.

    Google Scholar 

  • Clark, A. K. Re-evaluation of Monte Carlo studies in nonmetric multidimensional scaling.Psychometrika, 1976,41, 401–403.

    Google 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.

    Google Scholar 

  • Guttman, L. General nonmetric technique for finding smallest coordinate space for a configuration of points.Psychometrika, 1968,33, 469–506.

    Google Scholar 

  • Klahr, D. A Monte Carlo investigation of the statistical significance of Kruskal's nonmetric scaling procedure.Psychometrika, 1969,34, 319–330.

    Google Scholar 

  • Kruskal, J. B. Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis.Psychometrika, 1964,29, 1–27. (a)

    Google Scholar 

  • Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method.Psychometrika, 1964,29, 115–129. (b)

    Google 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).

  • Shepard, R. N. The analysis of proximities: Multidimensional scaling with an unknown distance function. I.Psychometrika, 1962,27, 125–140.

    Google 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.

    Google Scholar 

  • Spence, I. A Monte Carlo evaluation of three nonmetric scaling algorithms.Psychometrika, 1972,37, 461–486.

    Google Scholar 

  • Spence, I. On random rankings in nonmetric scaling.Psychometrika, 1974,39, 267–268.

    Google 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.

    Google Scholar 

  • Stenson, H. H., & Knoll, R. L. Goodness of fit for random rankings in Kruskal's nonmetric scaling procedure.Psychological Bulletin, 1969,71, 122–126.

    Google 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.

    Google Scholar 

  • Young, F. W. TORSCA-9: A FORTRAN IV program for nonmetric multidimensional scaling.Behavioral Science, 1968,13, 343–344.

    Google Scholar 

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Authors and Affiliations

  1. Department of Psychology, Elliott Hall, University of Minnesota, 55455, Minneapolis, Minnesota

    Phipps Arabie

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  1. Phipps Arabie
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Additional information

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

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Arabie, P. Random versus rational strategies for initial configurations in nonmetric multidimensional scaling. Psychometrika 43, 111–113 (1978). https://doi.org/10.1007/BF02294094

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  • DOI: https://doi.org/10.1007/BF02294094

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