Models for establishing substantive theory in behavioral, medical, psychological and sociological sciences usually involve casual effects and correlations among the manifest variables and latent variables that cannot be measured by one single measurement. The aim of this thesis is to give some statistical analyses of some latent variable models. There are seven chapters in this thesis. The first two chapters respectively give an outline of the thesis and present some methodologies. In Chapters 3 and 4, the maximum likelihood and Bayesis estimations of the models for binary data and polytomous data are given respectively, in which some statistical analyses are also discussed. Chapters 5 describes a Bayesian procedure and two maximum likelihood methods to analyze the general nonlinear structural equation models. In Chapter 6, nonlinear structural equation models with continuous and polytomous variables are discussed. Finally, we extend the previous methodology to deal with the multilevel data in Chapter 7. / by Hong-tu Zhu. / "December 1999." / Adviser: Sik-Yum Lee. / Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1479. / Thesis (Ph.D.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (p. 120-135). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. Ann Arbor, MI : ProQuest dissertations and theses, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_342888 |
| Date | January 1999 |
| Contributors | Zhu, Hong-tu., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, theses |
| Format | electronic resource, microform, microfiche, 1 online resource (174 p. : ill.) |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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