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 | |
| State | Published - Mar 2001 |
Funding
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: [email protected]
Keywords
- Latent class analysis
- Latent trait models
- Luce's choice model
- Nominal categories model
- Probabilistic choice models
ASJC Scopus subject areas
- General Psychology
- Applied Mathematics