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A Method of Successive Cumulations for the Scaling of Pair-Comparison Preference Judgments

Published online by Cambridge University Press:  01 January 2025

Marshall G. Greenberg
Marshall G. Greenberg*
Affiliation:
University of Minnesota
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Abstract

The present model treats the scaling of pair-comparison preference judgments among a unidimensional set of stimuli across a population of individuals. Given a set S of n stimuli, S = {S1, S2, …, Sn}, the model yields a partially ordered metric on the interstimulus distances which may be used to construct an interval scale of values forS. Obtained also are a set of predictions P = {P1, P2, …, Pn} wherePi is the proportion of individuals in the population whose first choice among the elements of S is Si. A numerical illustration is offered and comparisons are drawn with Coombs' unfolding technique.

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 4 , December 1965 , pp. 441 - 448
Copyright
Copyright © 1965 Psychometric Society

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Footnotes

*

This work was supported in part by Grant GB 2345 from the National Science Foundation. An earlier version of this paper was prepared while the author was a consultant to Proctor & Gamble Co. during the summer of 1964.

References

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