Constrained estimation in covariance structure analysis with continuous and polytomous variables.

Chung Chi Keung.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves 80-84).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 2 --- Partition Maximum Likelihood Estimation of the General Model --- p.5Chapter 2.1 --- Introduction --- p.5Chapter 2.2 --- Model --- p.5Chapter 2.3 --- The Partition Maximum Likelihood Procedure --- p.8Chapter 2.3.1 --- PML estimation of pa --- p.9Chapter 2.3.2 --- PML estimation of pab --- p.13Chapter 2.3.3 --- Asymptotic properties of the first-stage PML estimates --- p.15Chapter 3 --- Bayesian Analysis of Stochastic Prior Information --- p.19Chapter 3.1 --- Introduction --- p.19Chapter 3.2 --- Bayesian analysis of the Model --- p.20Chapter 3.2.1 --- "Case 1, Γ = σ2I" --- p.21Chapter 3.2.2 --- Case 2，Г as diagonal matrix with different diagonal el- ements --- p.24Chapter 3.2.3 --- "Case 3, Г as a general positive definite matrix" --- p.26Chapter 4 --- Simulation Design and Numerical Example --- p.29Chapter 4.1 --- Simulation Design --- p.29Chapter 4.1.1 --- Model --- p.29Chapter 4.1.2 --- Methods of evaluation --- p.32Chapter 4.1.3 --- Data analysis --- p.33Chapter 4.2 --- Numerical Example --- p.34Chapter 4.2.1 --- Model --- p.35Chapter 5 --- Conclusion and Discussion --- p.42APPENDIX I to V --- p.44-50TABLES 1 to 10 --- p.51-77FIGURES 1 to 3 --- p.78-79REFERENCE --- p.80-8