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ERIC Number: EJ921810
Record Type: Journal
Publication Date: 2011-Apr
Pages: 19
Abstractor: As Provided
ISSN: ISSN-1076-9986
Accounting for Individual Differences in Bradley-Terry Models by Means of Recursive Partitioning
Strobl, Carolin; Wickelmaier, Florian; Zeileis, Achim
Journal of Educational and Behavioral Statistics, v36 n2 p135-153 Apr 2011
The preference scaling of a group of subjects may not be homogeneous, but different groups of subjects with certain characteristics may show different preference scalings, each of which can be derived from paired comparisons by means of the Bradley-Terry model. Usually, either different models are fit in predefined subsets of the sample or the effects of subject covariates are explicitly specified in a parametric model. In both cases, categorical covariates can be employed directly to distinguish between the different groups, while numeric covariates are typically discretized prior to modeling. Here, a semiparametric approach for recursive partitioning of Bradley-Terry models is introduced as a means for identifying groups of subjects with homogeneous preference scalings in a data-driven way. In this approach, the covariates that--in main effects or interactions--distinguish between groups of subjects with different preference orderings, are detected automatically from the set of candidate covariates. One main advantage of this approach is that sensible partitions in numeric covariates are also detected automatically. (Contains 5 figures and 4 tables.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Austria (Vienna); Germany