×

Nonmetric multidimensional scaling. A numerical method. (English) Zbl 0123.36804


MSC:

62H25 Factor analysis and principal components; correspondence analysis
62-04 Software, source code, etc. for problems pertaining to statistics
62P15 Applications of statistics to psychology
91C15 One- and multidimensional scaling in the social and behavioral sciences

Keywords:

statistics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Barton, D. E. and Mallows, C. L. The randomization bases of the amalgamation of weighted means.J. roy. statist. Soc., Series B, 1961,23, 423–433. · Zbl 0119.35501
[2] Bartholomew, D. J. A test of homogeneity for ordered alternatives.Biometrika, 1959,46, 36–48. · Zbl 0087.14202
[3] Bartholomew, D. J. A test of homogeneity of means under restricted alternatives (with discussion).J. roy. statist. Soc., Series B, 1961,23, 239–281. · Zbl 0209.50303
[4] Hardy, G. H., Littlewood, J. E., and Polya, G.Inequalities. (2nd ed.) Cambridge, Eng.: Cambridge Univ. Press, 1952.
[5] Hildebrandt, P. and Isbitz H. Radix-exchange–An internal sorting method for digital computers.J. Assoc. computing Machinery, 1959,6, 156–163. · Zbl 0084.12008
[6] 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.
[7] Kruskal, J. Multidimensional scaling by optimizing goodness-of-fit to a nonmetric hypothesis.Psychometrika, 1964,29, 1–28. · Zbl 0123.36803
[8] Miles, R. E. The complete amalgamation into blocks, by weighted means, of a finite set of real numbers.Biometrika, 1959,46, 317–327. · Zbl 0090.36001
[9] Shepard, R. N. The analysis of proximities: Multidimensional scaling with an unknown distance function.Psychometrika (I and II), 1962,27, 125–139, 219–246. · Zbl 0129.12103
[10] Spang, H. A. III. A review of minimization techniques for nonlinear functions.SIAM Rev., 1962,4, 343–365. · Zbl 0112.12205
[11] van Eeden, C. Maximum likelihood estimation of partially or completely ordered parameters, I.Proc. Akademie van Wetenschappen, Series A, 1957,60, 128–136. · Zbl 0086.12803
[12] van Eeden, C. Note on two methods for estimating ordered parameters of probability distributions.Proc. Akademie van Wetenschappen, Series A, 1957,60, 506–512. · Zbl 0086.12804
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.