Coincidence of Agreement between Probabilistic and Algebraic Choosers

Coincidence of Agreement between Probabilistic and Algebraic Choosers Algebraic choosers make precise responses to pairwise preference comparisons on alternatives that are based on the relative rankings of the alternatives over some set of n attributes of comparison. Probabilistic choosers are less precise than algebraic choosers are, and they give pairwise preference responses that have some probability of being in agreement with the response of an algebraic chooser. The magnitude of this probability reflects the degree of discriminatory power of the probabilistic chooser. The current study significantly expands earlier work on the probability that algebraic and probabilistic choosers will select the same maximal alternative. Three factors are found to have an impact on this coincidence probability: the number of attributes of comparison that are being considered, the discriminatory power of probabilistic choosers, and the degree of dependence between attribute rankings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quality & Quantity Springer Journals

Coincidence of Agreement between Probabilistic and Algebraic Choosers

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2007 by Springer Science + Business Media B.V.
Subject
Social Sciences; Methodology of the Social Sciences; Social Sciences, general
ISSN
0033-5177
eISSN
1573-7845
D.O.I.
10.1007/s11135-007-9090-6
Publisher site
See Article on Publisher Site

Abstract

Algebraic choosers make precise responses to pairwise preference comparisons on alternatives that are based on the relative rankings of the alternatives over some set of n attributes of comparison. Probabilistic choosers are less precise than algebraic choosers are, and they give pairwise preference responses that have some probability of being in agreement with the response of an algebraic chooser. The magnitude of this probability reflects the degree of discriminatory power of the probabilistic chooser. The current study significantly expands earlier work on the probability that algebraic and probabilistic choosers will select the same maximal alternative. Three factors are found to have an impact on this coincidence probability: the number of attributes of comparison that are being considered, the discriminatory power of probabilistic choosers, and the degree of dependence between attribute rankings.

Journal

Quality & QuantitySpringer Journals

Published: Feb 27, 2007

References

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