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Mixed-Effects Analyses of Rank-Ordered Data

Published online by Cambridge University Press:  01 January 2025

Ulf Böckenholt
Ulf Böckenholt*
Affiliation:
University of Illinois at Urbana-Champaign
*
Requests for reprints should be sent to Ulf Böckenholt, Department of Psychology, University of Illinois, Champaign, IL 61820. E-Mail: ubockenh@s.psych.uiuc.edu
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Abstract

This paper presents a synthesis of Bock's (1972) nominal categories model and Luce's (1959) choice model for mixed-effects analyses of rank-ordered data. It is shown that the proposed ranking model is both parsimonious and flexible in accounting for preference heterogeneity as well as fixed and random effects of covariates. Relationships to other approaches, including Takane's (1987) ideal point discriminant model and Croon's (1989) latent-class version of Luce's ranking model, are also discussed. The application focuses on a ranking study of behavioral traits that parents find desirable in children.

Keywords

latent trait modelslatent class analysisprobabilistic choice modelsnominal categories modelLuce's choice model
Type
Articles
Information
Psychometrika , Volume 66 , Issue 1 , March 2001 , pp. 45 - 62
Copyright
Copyright © 2001 The Psychometric Society

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Footnotes

The manuscript for this article was submitted and accepted during my tenure as the Editor of Psychometrika. — Willem Heiser

This research was partially supported by NSF grant SBR-9730197. The author is grateful to Rung-Ching Tsai and three anonymous reviewers for their helpful comments on this research.

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