Mixed-effects analyses of rank-ordered data

Ulf Böckenholt

doi:10.1007/BF02295731

Mixed-effects analyses of rank-ordered data

Ulf Böckenholt^*

^*Corresponding author for this work

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26 Scopus citations

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.

Original language	English (US)
Pages (from-to)	45-62
Number of pages	18
Journal	Psychometrika
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/BF02295731
State	Published - Mar 2001

Keywords

Latent class analysis
Latent trait models
Luce's choice model
Nominal categories model
Probabilistic choice models

ASJC Scopus subject areas

Psychology(all)
Applied Mathematics

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10.1007/BF02295731

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title = "Mixed-effects analyses of rank-ordered data",

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 class analysis, Latent trait models, Luce's choice model, Nominal categories model, Probabilistic choice models",

author = "Ulf B{\"o}ckenholt",

note = "Funding Information: 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. Requests for reprints should be sent to Ulf B6ckenholt, Department of Psychology, University of Illinois, Champaign, IL 61820. E-Mail: ubockenh@s.psych.uiuc.edu",

year = "2001",

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N1 - Funding Information: 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. Requests for reprints should be sent to Ulf B6ckenholt, Department of Psychology, University of Illinois, Champaign, IL 61820. E-Mail: ubockenh@s.psych.uiuc.edu

PY - 2001/3

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N2 - 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.

AB - 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.

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KW - Nominal categories model

KW - Probabilistic choice models

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Mixed-effects analyses of rank-ordered data

Abstract

Keywords

ASJC Scopus subject areas

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