Some aspects on Bayesian analysis of the LISREL model.

Tse Ka Ling Carol.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 72-76).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- The Factor Analysis Model --- p.1Chapter 1.2 --- Main Objectives --- p.2Chapter 1.2.1 --- Investigate the distribution of the estimated Factor Scores --- p.2Chapter 1.2.2 --- Propose an alternative method for getting the estimates of the LISREL model --- p.4Chapter 1.3 --- Summary --- p.4Chapter 2 --- Joint Bayesian Approach of the Factor Analysis Model --- p.6Chapter 2.1 --- Conditional Distribution --- p.7Chapter 2.1.1 --- Conditional distribution of Z given Y and θ --- p.7Chapter 2.1.2 --- Conditional distribution of θ given Y and Z --- p.7Chapter 2.2 --- Implementation of the Gibbs sampler for generating the random observations --- p.11Chapter 2.3 --- Bayesian Estimates and their Statistical Properties --- p.13Chapter 2.3.1 --- Estimates of unknown parameter --- p.13Chapter 2.3.2 --- Estimates of Factor Score --- p.14Chapter 3 --- Examine the distribution of the estimated factor scores --- p.15Chapter 3.1 --- The 1st Simulation Study --- p.15Chapter 3.2 --- The 2nd Simulation Study --- p.30Chapter 3.3 --- The 3rd Simulation Study --- p.31Chapter 4 --- An Alternative method for getting the parameter estimatesin the LISREL Model --- p.44Chapter 4.1 --- Full LISREL model --- p.44Chapter 4.2 --- Our proposed method --- p.46Chapter 4.3 --- Simulation Studies --- p.49Chapter 4.3.1 --- The 1st Simulation Study --- p.49Chapter 4.3.2 --- The 3rd Simulation Study --- p.50Chapter 4.4 --- Conclusion --- p.53Appendix --- p.56Bibliography --- p.7