The analysis of proximities: Multidimensional scaling with an unknown distance function: I, II. (English) Zbl 0129.12103

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[1] Abelson, R. P. and Sermat, V. Multidimensional scaling of facial expressions.J. exp. Psychol, in press.
[2] Attneave, F. Dimensions of similarity.Amer. J. Psychol, 1950,63, 516–556.
[3] Bales, R. F., Strodtbeck, F. L., Mills, T. M., and Roseborough, M. E. Channels of communication in small groups.Amer. sociol. Rev., 1951,16, 461–468.
[4] Bennett, J. F. and Hays, W. L. Multidimensional unfolding: Determining the dimensionality of ranked preference data.Psychometrika, 1960,25, 27–43.
[5] Coxeter, H. S. M.Regular polytopes. London: Methuen, 1948. · Zbl 0031.06502
[6] Ekman, G. Dimensions of color vision.J. Psychol., 1954,38, 467–474.
[7] Green, B. F. and Anderson, L. K. The tactual identification of shapes for coding switch handles.J. appl. Psychol., 1955,39, 219–226.
[8] Hammersley, J. M. The distribution of distances in a hypersphere.Ann. math. Statist., 1950,21, 447–452. · Zbl 0039.39301
[9] Harman, H. H.Modern factor analysis. Chicago: Univ. Chicago Press, 1960. · Zbl 0095.13403
[10] Keller, F. S. and Taubman, R. E. Studies in international morse code. II. Errors made in code reception.J. appl. Psychol., 1943,27, 504–509.
[11] Lord, R. D. The distribution of distance in a hypersphere.Ann. math. Statist., 1954,25, 794–798. · Zbl 0056.36302
[12] Plotkin, L. Stimulus generalization in morse code learning.Arch. Psychol., 1943,40, No. 287.
[13] Rothkopf, E. Z. Signal similarity and reception errors in early morse code training. In G. Finch and F. Cameron (Eds.), Symposium on Air Force human engineering, personnel, and training research. Washington: National Academy of Sciences–National Research Council Publication 455, 1956. Pp. 229–235.
[14] Rothkopf, E. Z. A measure of stimulus similarity and errors in some paired-associate learning tasks.J. exp. Psychol., 1957,53, 94–101.
[15] Seashore, H. and Kurtz, A. K. Analysis of errors in copying code. Washington, D. C.: Office of Scientific Research and Development, Rep. No. 4010, 1944.
[16] Shepard, R. N. Multidimensional scaling of concepts based upon sequences of restricted associative responses.Amer. Psychologist, 1957,12, 440–441. (Abstract)
[17] Shepard, R. N. Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space.Psychometrika, 1957,22, 325–345. · Zbl 0088.12906
[18] Shepard, R. N. Stimulus and response generalization: Tests of a model relating generalization to distance in psychological space.J. exp. Psychol., 1958,55, 509–523.
[19] Shepard, R. N. Stimulus and response generalization: Deduction of the generalization gradient from a trace model.Psychol. Rev., 1958,65, 242–256.
[20] Shepard, R. N. Similarity of stimuli and metric properties of behavioral data. In H. Gulliksen and S. Messick (Eds.),Psychological scaling: theory and method. New York: Wiley, 1960. Pp. 33–43.
[21] Torgerson, W. S.Theory and methods of scaling. New York: Wiley, 1958.
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