Mixed-effects analyses of rank-ordered data

Ulf Böckenholt*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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 languageEnglish (US)
Pages (from-to)45-62
Number of pages18
Issue number1
StatePublished - Mar 2001


  • 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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