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A Least-Squares Solution for Case IV of the Law of Comparative Judgment

Published online by Cambridge University Press:  01 January 2025

W. A. Gibson
W. A. Gibson*
Affiliation:
University of North Carolina
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Abstract

Case IV of Thurstone's Law of Comparative Judgment is displayed as a system of homogeneous linear equations for which a least-squares solution is presented, using various conditional equations which fix the origin and the unit of measurement. The computational load is, however, quite heavy.

Type
Original Paper
Information
Psychometrika , Volume 18 , Issue 1 , March 1953 , pp. 15 - 21
Copyright
Copyright © 1953 The Psychometric Society

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References

Thurstone, L. L. A law of comparative judgment. Psychol. Rev., 1927, 34, 273–286.CrossRefGoogle Scholar
Thurstone, L. L. Stimulus dispersions in the method of constant stimuli. J. exp. Psychol., 1931, 15, 284–297.CrossRefGoogle Scholar
Turnbull, H. W., and Aitken, A. C. An introduction to the theory of canonical matrices, London: Blackie and Son, Limited, 1932.Google Scholar