Analysis of Paired Comparison Data Using Monte Carlo EM Algorithms
Tsai, Rung-Ching
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Permalink
https://hdl.handle.net/2142/82013
Description
Title
Analysis of Paired Comparison Data Using Monte Carlo EM Algorithms
Author(s)
Tsai, Rung-Ching
Issue Date
2001
Doctoral Committee Chair(s)
Bockenholt, Ulf
Department of Study
Psychology
Discipline
Psychology
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Statistics
Language
eng
Abstract
Representations of Thurstonian models cannot be uniquely identified because of the discrete nature and the difference structure of the paired comparison data. In this thesis, the identifiability of model parameters are investigated by studying empirically equivalent Thurstonian models. Equivalence relations and their implications on interpretation are presented in detail for a number of covariance structures. Wherever possible, specific conditions are given to allow researchers to examine the identifiability of the model parameters.
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