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Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. (English) Zbl 0123.36803


MSC:

62H25 Factor analysis and principal components; correspondence analysis
62P15 Applications of statistics to psychology
91C15 One- and multidimensional scaling in the social and behavioral sciences

Keywords:

statistics
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References:

[1] Abelson, R. P. and Tukey, J. W. Efficient conversion of nonmetric information into metric information.Proc. Amer. statist. Ass. Meetings, Social statist. Section, 1959, 226–230.
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[9] Indow, T. and Uchizono, T. Multidimensional mapping of Munsell colors varying in hue and chroma.J. exp. Psychol., 1960,59, 321–329. · doi:10.1037/h0049149
[10] Indow, T. and Kanazawa, K. Multidimensional mapping of colors varying in hue, chroma and value.J. exp. Psychol., 1960,59, 330–336. · doi:10.1037/h0044796
[11] Kolmogorov, A. N. and Fomin, S. V.Elements of the theory of functions and functional analysis. Vol. 1.Metric and normed spaces. Translated from the first (1954) Russian edition by Leo F. Boron. Rochester, N. Y.: Graylock Press, 1957. · Zbl 0090.08702
[12] Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method.Psychometrika, (accepted for publication, June, 1964). · Zbl 0123.36804
[13] Rothkopf, E. Z. A measure of stimulus similarity and errors in some paired-associate learning tasks.J. exp. Psychol., 1957,53, 94–101. · doi:10.1037/h0041867
[14] Shepard, R. N. Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space.Psychometrika, 1957,32, 325–345. · Zbl 0088.12906 · doi:10.1007/BF02288967
[15] Shepard, R. N. The analysis of proximities: Multidimensional scaling with an unknown distance function.Psychometrika, 1962,27, 125–139, 219–246. · Zbl 0129.12103 · doi:10.1007/BF02289630
[16] Shepard, R. N. Analysis of proximities as a technique for the study of information processing in man.Human Factors, 1963,5, 19–34.
[17] Torgerson, W. S.Theory and methods of scaling. New York: Wiley, 1958.
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