Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis

Psychometrika - Tập 29 Số 1 - Trang 1-27 - 1964
Joseph B. Kruskal1
1Bell Telephone Laboratories, Murray Hill

Tóm tắt

Từ khóa


Tài liệu tham khảo

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.

Aumann, R. J. and Kruskal, J. B. The coefficients in an allocation problem.Naval Res. Logistics Quart., 1958,5, 111–123.

Aumann, R. J. and Kruskal, J. B. Assigning quantitative values to qualitative factors in the Naval electronics problem.Naval Res. Logistics Quart., 1959,6, 1–16.

Bartholomew, D. J. A test of homogeneity for ordered alternatives.Biometrika, 1959,46, 36–48.

Coombs, C. H. An application of a nonmetric model for multidimensional analysis of similarities.Psychol. Rep., 1958,4, 511–518.

Coombs, C. H. and Kao, R. C. On a connection between factor analysis and multidimensional unfolding.Psychometrika, 1960,25, 219–231.

Ekman, G. Dimensions of color vision.J. Psychol., 1954,38, 467–474.

Hardy, G. H., Littlewood, J. E., and Polya, G.Inequalities. (2nd ed.) Cambridge, Eng.: Cambridge Univ. Press, 1952.

Indow, T. and Uchizono, T. Multidimensional mapping of Munsell colors varying in hue and chroma.J. exp. Psychol., 1960,59, 321–329.

Indow, T. and Kanazawa, K. Multidimensional mapping of colors varying in hue, chroma and value.J. exp. Psychol., 1960,59, 330–336.

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.

Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method.Psychometrika, (accepted for publication, June, 1964).

Rothkopf, E. Z. A measure of stimulus similarity and errors in some paired-associate learning tasks.J. exp. Psychol., 1957,53, 94–101.

Shepard, R. N. Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space.Psychometrika, 1957,32, 325–345.

Shepard, R. N. The analysis of proximities: Multidimensional scaling with an unknown distance function.Psychometrika, 1962,27, 125–139, 219–246.

Shepard, R. N. Analysis of proximities as a technique for the study of information processing in man.Human Factors, 1963,5, 19–34.

Torgerson, W. S.Theory and methods of scaling. New York: Wiley, 1958.