The analysis of high-dimensional contingency tables with comparable ordinal categories.

Shum Chun-Yin.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 63-64).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.ivChapter 1 --- Introduction --- p.1Chapter 2 --- Ordinal Contingency Table --- p.5Chapter 2.1 --- Model --- p.5Chapter 2.2 --- The Maximum Likelihood Method --- p.7Chapter 2.3 --- Limitation of the Maximum Likelihood Estimation in Large Sample --- p.8Chapter 2.4 --- The Partition Maximum Likelihood Approach --- p.9Chapter 3 --- Modification of the Partition Maximum Likelihood Approach --- p.12Chapter 3.1 --- The Modified Partition Maximum Likelihood Approach --- p.12Chapter 3.2 --- Mx Implementation --- p.14Chapter 3.2.1 --- Maximum Likelihood Procedure --- p.14Chapter 3.2.2 --- Modified PML Procedure --- p.15Chapter 3.3 --- Examples --- p.16Chapter 3.3.1 --- Example 1 : Attitudes of Morality and Equality --- p.16Chapter 3.3.2 --- Example 2 : A Panel Model for Political Efficacy --- p.17Chapter 3.4 --- Limitation of the Modified PML Approach --- p.19Chapter 3.5 --- Simulation Study for the Modified PML Approach --- p.20Chapter 4 --- Generalization to Structural Equation Model --- p.22Chapter 4.1 --- Model --- p.23Chapter 4.2 --- Procedure --- p.24Chapter 4.3 --- Examples --- p.26Chapter 4.3.1 --- Example 1 : Attitudes of Morality and Equality --- p.26Chapter 4.3.2 --- Example 2 : A Panel Model for Political Efficacy --- p.28Chapter 5 --- Generalization to Stochastic Constraints on Thresholds --- p.31Chapter 5.1 --- Model --- p.32Chapter 5.2 --- Bayesian Analysis of the Model --- p.33Chapter 5.3 --- Examples --- p.35Chapter 5.3.1 --- Example 1 : Attitudes of Morality and Equality --- p.35Chapter 5.3.2 --- Example 2 : A Panel Model for Political Efficacy --- p.36Chapter 6 --- Conclusion and Discussion --- p.38Chapter A --- Mx Script of the ML Estimation - for Example 1 --- p.40Chapter B --- Mx Script of the Modified PML Estimation - for Example 1 --- p.42Chapter C --- Mx Script of the Modified PML Estimation - for Example 2 --- p.45Bibliography --- p.6