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The Connection Between Magnitude and Discrimination Scales and Direct and Indirect Scaling Methods

Published online by Cambridge University Press:  01 January 2025

Hannes Eisler
Hannes Eisler*
Affiliation:
University of Stockholm, Sweden
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Abstract

(1) An analysis of the method of paired comparisons shows that Case V and Case VI, the latter characterized by log-normal distributions and Weber’s law for subjective continua, are fundamentally indistinguishable. Case VI produces a log-arithmetic interval scale of subjective magnitude. (2) It is demonstrated that the difference between discrimination scales according to Case V and from category rating is due to the difference between intra- and interindividual variability yielding different Weber functions.

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 3 , September 1965 , pp. 271 - 289
Copyright
Copyright © 1965 Psychometric Society

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Footnotes

*

This research was supported by the Humanistic Faculty of the University of Stockholm and by the Swedish Social Science Research Council. I am indebted to Mr. U. Forsberg for computational assistance.

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