TY - JOUR
T1 - Modelling intransitive preferences
T2 - A random-effects approach
AU - Tsai, Rung Ching
AU - Böckenholt, Ulf
N1 - Funding Information:
The authors are grateful to Michael Regenwetter and three reviewers for their helpful comments. Requests for reprints should be sent to Rung-Ching Tsai ([email protected]) or Ulf Böckenholt ([email protected]). The research of the first author was fully supported by grant NSC 93-2413-H-003-069 from the National Science Council of Taiwan. Ulf Böckenholt was supported by the Social Sciences and Humanities Research Council of Canada.
PY - 2006/2
Y1 - 2006/2
N2 - Current models for individual-level paired comparison data are based on the three assumptions that (1) pairwise judgments are independent, (2) the utility of an item remains invariant across trials, and (3) pair-specific variability can account for intransitive choice behaviour. All three assumptions seem strong and likely to be violated in empirical applications. This paper introduces a new framework for the analysis of paired comparison data which relaxes these three assumptions and considers the utilities associated with the same item across trials to be neither independent nor identical, but related. The proposed approach provides new insights about the reliability and consistency of paired comparison judgments and can account for systematic violations of transitivity. An application, based on a replication of Tversky's [(1969). Intransitivity of preference. Psychological Review, 76, 31-48] gamble study, illustrates the usefulness of the new approach in modelling both transitive and intransitive preferences.
AB - Current models for individual-level paired comparison data are based on the three assumptions that (1) pairwise judgments are independent, (2) the utility of an item remains invariant across trials, and (3) pair-specific variability can account for intransitive choice behaviour. All three assumptions seem strong and likely to be violated in empirical applications. This paper introduces a new framework for the analysis of paired comparison data which relaxes these three assumptions and considers the utilities associated with the same item across trials to be neither independent nor identical, but related. The proposed approach provides new insights about the reliability and consistency of paired comparison judgments and can account for systematic violations of transitivity. An application, based on a replication of Tversky's [(1969). Intransitivity of preference. Psychological Review, 76, 31-48] gamble study, illustrates the usefulness of the new approach in modelling both transitive and intransitive preferences.
KW - Intransitivity
KW - Paired comparison data
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U2 - 10.1016/j.jmp.2005.11.004
DO - 10.1016/j.jmp.2005.11.004
M3 - Article
AN - SCOPUS:32944464350
SN - 0022-2496
VL - 50
SP - 1
EP - 14
JO - Journal of Mathematical Psychology
JF - Journal of Mathematical Psychology
IS - 1
ER -