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

Keywords:
statistics
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.
[2]Bartholomew, D. J. A test of homogeneity for ordered alternatives.Biometrika, 1959,46, 36–48.
[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.
[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.
[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 · doi:10.1007/BF02289565
[8]Miles, R. E. The complete amalgamation into blocks, by weighted means, of a finite set of real numbers.Biometrika, 1959,46, 317–327.
[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 · doi:10.1007/BF02289630
[10]Spang, H. A. III. A review of minimization techniques for nonlinear functions.SIAM Rev., 1962,4, 343–365. · Zbl 0112.12205 · doi:10.1137/1004089
[11]van Eeden, C. Maximum likelihood estimation of partially or completely ordered parameters, I.Proc. Akademie van Wetenschappen, Series A, 1957,60, 128–136.
[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.