, Volume 6, Issue 5, pp 331–333 | Cite as

A note on multidimensional psychophysical analysis

  • Gale Young
  • A. S. Householder


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.


Public Policy Statistical Theory Mathematical Theory Natural Extension Computational Technique 
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  1. 1.
    Householder, Alston S. and Young, Gale. Weber laws, the Weber law, and psychophysical analysis.Psychometrika, 1940,5, 183–193.Google Scholar
  2. 2.
    Young, Gale and Householder, A. S. Discussion of a set of points in terms of their mutual distances.Psychometrika, 1938,3, 19–22, 126.Google Scholar

Copyright information

© Psychometric Society 1941

Authors and Affiliations

  • Gale Young
    • 1
  • A. S. Householder
    • 2
  1. 1.Olivet CollegeUSA
  2. 2.University of ChicagoUSA

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