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A method of successive cumulations for the scaling of pair-comparison preference judgments

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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 setS ofn stimuli,S = {S 1,S 2, …,S n }, 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 predictionsP = {P 1,P 2, …,P n } whereP i is the proportion of individuals in the population whose first choice among the elements ofS isS i . A numerical illustration is offered and comparisons are drawn with Coombs' unfolding technique.

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References

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Authors and Affiliations

  1. University of Minnesota, USA

    Marshall G. Greenberg

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  1. Marshall G. Greenberg
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Additional information

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.

Now with Proctor & Gamble Co.

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Greenberg, M.G. A method of successive cumulations for the scaling of pair-comparison preference judgments. Psychometrika 30, 441–448 (1965). https://doi.org/10.1007/BF02289533

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  • DOI: https://doi.org/10.1007/BF02289533

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