A Choice Model for Paired Comparison Data based on Imperfectly Nested Sets
- 1 December 1964
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 29 (4) , 363-370
- https://doi.org/10.1007/bf02289602
Abstract
A ratio scale of subjective magnitude is developed from paired-comparison data. The model attempts to combine arguments of Restle, Ekman, and Luce relating data obtained from paired comparisons and corresponding data from direct psychophysical scaling methods at the ratio level. The basic set-theoretical model involves the use of imperfectly nested sets. A numerical example illustrates the application of the theory.Keywords
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