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Multivariate and Structural Equation Models for Family Data

Morris, Nathan J.
http://rave.ohiolink.edu/etdc/view?acc_num=case1247004562

Abstract Details

2009, Doctor of Philosophy, Case Western Reserve University, Epidemiology and Biostatistics.
Most diseases of interest to modern genetic epidemiologists are complex both in their etiology and measurement. That is, they result from a complicated interplay of various environmental and genetic factors, and they are subject to fuzzy, noisy and often multidimensional disease definitions. Although complex diseases are inherently multivariate, it is often difficult to see how multivariate methods may be used in family data. For example, there are several contradictory claims in the literature about the asymptotic distribution of the multivariate variance component likelihood ratio test for linkage analysis. We show that the previous claims are not correct, but computational efficient algorithms may be used to find the distribution. However, the likelihood ratio test is not robust to non-normality in this context, so several robust score tests for multivariate linkage analysis are developed. Via extensive simulations, we explore the statistical properties of these tests. Finally, a framework for using structural equation models (SEM) in family data is developed. This framework includes both a latent measurement model and a structural model with covariates. This allows for a wide variety of models, including latent growth curve models. It is shown how variance components such as polygenic, environmental and genetic variance components can be included in the SEM.
Catherine Stein, PhD (Advisor)
Robert Elston, PhD (Committee Chair)
Xiaofent Zhu, PhD (Committee Member)
Ralph O’Brien, PhD (Committee Member)
181 p.
Multivariate Linkage Analysis; Constrained Asymptotics; Structural Equation Models; Pedigree; Variance Component; Mixed Model

Recommended Citations

Citations

  • Morris, N. J. (2009). Multivariate and Structural Equation Models for Family Data [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1247004562

    APA Style (7th edition)

  • Morris, Nathan. Multivariate and Structural Equation Models for Family Data. 2009. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1247004562.

    MLA Style (8th edition)

  • Morris, Nathan. "Multivariate and Structural Equation Models for Family Data." Doctoral dissertation, Case Western Reserve University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=case1247004562

    Chicago Manual of Style (17th edition)

case1247004562
874
© 2009, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.