JSM 2005 - Toronto

Abstract #304388

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 59
Type: Topic Contributed
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: Social Statistics Section
Abstract - #304388
Title: An Item Response Model for Multidimensional Unfolding Preferential Choice Data
Author(s): Jimmy de la Torre*+
Companies: Rutgers University
Address: 10 Seminary Place, New Brunswick, NJ, 08901, United States
Keywords: multidimensional unfolding model ; item response model ; Markov chain Monte Carlo ; doubly non-central F-distribution
Abstract:

The probabilistic multidimensional unfolding model for preferential choice data originally proposed by Zinnes and Griggs (1974) is generalized to include discrimination parameters to account for differential weighting of the various dimensions that typically occurs in choice data. A Markov chain Monte Carlo algorithm for estimating the model parameters also is developed. In addition, because the item response functions for this model involve a doubly noncentral F-distribution that can be computationally expensive, different approximations of the distribution function are explored with particular emphases at F''=1 and lower degrees of freedom. Finally, a simulation study is provided to examine the performance of the proposed algorithm and approximations.


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Revised March 2005