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A Note on Multidimensional Psychophysical Analysis

Published online by Cambridge University Press:  01 January 2025

Gale Young  and
A. S. Householder
Gale Young
Affiliation:
Olivet College
A. S. Householder
Affiliation:
University of Chicago
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Abstract

On viewing Thurstone's psychophysical scale from the point of view of the mathematical theory of one-parameter continuous groups, it is seen that a variety of different psychological or statistical assumptions can all be made to lead to a scale possessing similar properties, though requiring different computational techniques for their determination. The natural extension to multi-dimensional scaling is indicated.

Type
Original Paper
Information
Psychometrika , Volume 6 , Issue 5 , October 1941 , pp. 331 - 333
Copyright
Copyright © 1941 The Psychometric Society

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References

Householder, Alston S. and Young, Gal. Weber laws, the Weber law, and psychophysical analysis. Psychometrika, 1940, 5, 183–193.CrossRefGoogle Scholar
Young, Gal and Householder, A. S. Discussion of a set of points in terms of their mutual distances. Psychometrika, 1938, 3, 19–22.CrossRefGoogle Scholar