The analysis of proximities: Multidimensional scaling with an unknown distance function. II

The first in the present series of two papers described a computer program for multidimensional scaling on the basis of essentially nonmetric data. This second paper reports the results of two kinds of test applications of that program. The first application is to artificial data generated by monotonically transforming the interpoint distances in a known spatial configuration. The purpose is to show that the recovery of the original metric configuration does not depend upon the particular transformation used. The second application is to measures of interstimulus similarity and confusability obtained from some actual psychological experiments.

[1]  Frank L. Klingberg,et al.  Studies in measurement of the relations among sovereign states , 1941 .

[2]  F. Keller,et al.  Studies in International Morse Code. 2. Errors made in code reception. , 1943 .

[3]  H. Landahl Neural mechanisms for the concepts of difference and similarity , 1945 .

[4]  Alston S. Householder,et al.  ...Mathematical biophysics of the central nervous system, by Alston S. Householder and Herbert D. Landahl. , 1945 .

[5]  J. Tukey,et al.  Multiple-Factor Analysis , 1947 .

[6]  J. Hammersley The Distribution of Distance in a Hypersphere , 1950 .

[7]  C H COOMBS,et al.  Psychological scaling without a unit of measurement. , 1950, Psychological review.

[8]  F ATTNEAVE,et al.  Dimensions of similarity. , 1950, The American journal of psychology.

[9]  S. S. Stevens Mathematics, measurement, and psychophysics. , 1951 .

[10]  R. Bales,et al.  Channels of communication in small groups. , 1951 .

[11]  W. Torgerson Multidimensional scaling: I. Theory and method , 1952 .

[12]  G. Ekman Dimensions of Color Vision , 1954 .

[13]  R. Lord The Distribution of Distance in a Hypersphere , 1954 .

[14]  Robert P. Abelson,et al.  A Technique and a Model for Multi-Dimensional Attitude Scaling , 1954 .

[15]  Gösta Ekman,et al.  Dimensions of emotion , 1955 .

[16]  The tactual identification of shapes for coding switch handles. , 1955 .

[17]  S. Messick An empirical evaluation of multidimensional successive intervals , 1956 .

[18]  Sidney Siegel,et al.  A method for obtaining an ordered metric scale , 1956 .

[19]  R. Shepard Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space , 1957 .

[20]  Harold Schlosberg,et al.  A new series of facial expressions. , 1957 .

[21]  E. Rothkopf A measure of stimulus similarity and errors in some paired-associate learning tasks. , 1957, Journal of experimental psychology.

[22]  R. Shepard Stimulus and response generalization: tests of a model relating generalization to distance in psychological space. , 1958, Journal of experimental psychology.

[23]  C. H. Coombs,et al.  An Application of a Nonmetric Model for Multidimensional Analysis of Similarities , 1958 .

[24]  R. Shepard Stimulus and response generalization: deduction of the generalization gradient from a trace model. , 1958, Psychological review.

[25]  Joseph L. Zinnes,et al.  Theory and Methods of Scaling. , 1958 .

[26]  R. F. Fagot A model for ordered metric scaling by comparison of intervals , 1959 .

[27]  F. Restle A metric and an ordering on sets , 1959 .

[28]  T. Indow,et al.  Multidimensional mapping of Munsell colors varying in hue and chroma. , 1960, Journal of experimental psychology.

[29]  T. Indow,et al.  Multidimensional mapping of Munsell colors varying in hue, chroma, and value. , 1960, Journal of experimental psychology.

[30]  W. Hays,et al.  Multidimensional unfolding: Determining the dimensionality of ranked preference data , 1960 .

[31]  Richard C. W. Kao,et al.  On a connection between factor analysis and multidimensional unfolding , 1960 .

[32]  H. Harman Modern factor analysis , 1961 .

[33]  L. Tucker,et al.  Psychological models for relating discrimination and magnitude estimation scales. , 1961, Psychological review.

[34]  William L. Hays,et al.  Multidimensional unfolding: Determining configuration from complete rank order preference data , 1961 .

[35]  W. Mcguire A multiprocess model for paired-associate learning. , 1961 .

[36]  R. Abelson,et al.  Multidimensional scaling of facial expressions. , 1962, Journal of experimental psychology.

[37]  J DEESE,et al.  On the structure of associative meaning. , 1962, Psychological review.