The Analysis of Proximities: Multidimensional Scaling with an Unknown Distance Function. I.
- 1 June 1962
- journal article
- research article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 27 (2) , 125-140
- https://doi.org/10.1007/bf02289630
Abstract
A computer program is described that is designed to reconstruct the metric configuration of a set of points in Euclidean space on the basis of essentially nonmetric information about that configuration. A minimum set of Cartesian coordinates for the points is determined when the only available information specifies for each pair of those points—not the distance between them—but some unknown, fixed monotonic function of that distance. The program is proposed as a tool for reductively analyzing several types of psychological data, particularly measures of interstimulus similarity or confusability, by making explicit the multidimensional structure underlying such data.Keywords
This publication has 13 references indexed in Scilit:
- Multidimensional scaling of facial expressions.Journal of Experimental Psychology, 1962
- Multidimensional Unfolding: Determining the Dimensionality of Ranked Preference DataPsychometrika, 1960
- A measure of stimulus similarity and errors in some paired-associate learning tasks.Journal of Experimental Psychology, 1957
- The tactual identification of shapes for coding switch handles.Journal of Applied Psychology, 1955
- The Distribution of Distance in a HypersphereThe Annals of Mathematical Statistics, 1954
- Dimensions of Color VisionThe Journal of Psychology, 1954
- Channels of Communication in Small GroupsAmerican Sociological Review, 1951
- Dimensions of SimilarityThe American Journal of Psychology, 1950
- The Distribution of Distance in a HypersphereThe Annals of Mathematical Statistics, 1950
- Studies in International Morse Code. 2. Errors made in code reception.Journal of Applied Psychology, 1943