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Average Exponent from Magnitude Production

Published online by Cambridge University Press:  01 January 2025

Stanley J. Rule
Stanley J. Rule*
Affiliation:
University of Alberta
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Abstract

When magnitude production is used to obtain a psychophysical power function for a group of Ss, the group exponent is shown to be the harmonic mean of individual-S exponents under the conditions usually employed in empirical research. The conditions are (a) the same numbers are presented to each S, (b) responses to each number are pooled over Ss by taking geometric means, and (c) the function is fit by the method of least squares in which regression is of the logarithm of Ss' responses upon the logarithm of numbers presented by E.

Type
Original Paper
Information
Psychometrika , Volume 34 , Issue 2 , June 1969 , pp. 233 - 235
Copyright
Copyright © 1969 The Psychometric Society

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Footnotes

*

This paper was supported in part by grant no. APA-151 from the National Research Council of Canada. The author wishes to thank William W. Rozeboom for his helpful comments on this paper.

References

Bruvold, W. H., & Gaffey, W. R. Subjective intensity of mineral tastes in water. Journal of Experimental Psychology, 1965, 69, 369–374.CrossRefGoogle ScholarPubMed
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