zbMATH — the first resource for mathematics

Relations between multidimensional scaling and three-mode factor analysis. (English) Zbl 0232.92009

91C15 One- and multidimensional scaling in the social and behavioral sciences
62H25 Factor analysis and principal components; correspondence analysis
Full Text: DOI
[1] Bellman, R. R.Introduction to matrix analysis. New York: McGraw-Hill, 1960. · Zbl 0124.01001
[2] Carroll, J. D., & Chang, J. J. Analysis of individual differences in multidimensional scaling via an N-way generalization of ”Eckart-Young” decomposition.Psychometrika, 1970,35, 283–319. · Zbl 0202.19101
[3] Cliff, N. The ”idealized individual” interpretation of individual differences in multidimensional scaling.Psychometrika, 1968,33, 225–232.
[4] Eckart, C., & Young, G. The approximation of one matrix by another of lower rank.Psychometrika, 1936,1, 211–218. · JFM 62.1075.02
[5] Helm, C. E., & Tucker, L. R Individual differences in the structure of color-perception.American Journal of Psychology, 1962,75, 437–444.
[6] Horan, C. B. Multidimensional scaling: Combining observations when individuals have different perceptual structures.Psychometrika, 1969,34, 139–165.
[7] Horst, P.Matrix algebra for social scientists. New York: Holt, Rinehart, and Winston, 1963. · Zbl 0121.26103
[8] Johnson, R. M. On a theorem stated by Eckart and Young.Psychometrika, 1963,28, 259–263. · Zbl 0145.25104
[9] Kaiser, H. F. The varimax criterion for analytic rotation in factor analysis.Psychometrika, 1958,23, 187–200. · Zbl 0095.33603
[10] Kruskal, J. B. Nonmetric multidimensional scaling: A numerical method.Psychometrika, 1964,29, 115–129. · Zbl 0123.36804
[11] MacDuffee, C. C.The theory of matrices, New York: Chelsea, 1946. · Zbl 0007.19507
[12] Ross, J. A remark on Tucker and Messick’s ”points of view” analysis.Psychometrika, 1966,31, 27–31.
[13] Torgerson, W. S.Theory and methods of scaling. New York: Wiley, 1958.
[14] Tucker, L. R. Some mathematical notes on three-mode factor analysis.Psychometrika, 1966,31, 279–311.
[15] Tucker, L. R. and Messick, S. An individual difference model for multidimensional scaling.Psychometrika, 1963,28, 333–367.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.