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Semiparametric marginal and mixed models for longitudinal data

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dc.contributor.advisor Qu, Annie
dc.creator Tsai, Guei-Feng
dc.date.accessioned 2011-08-15T20:19:38Z
dc.date.available 2011-08-15T20:19:38Z
dc.date.copyright 2005-08-29
dc.date.issued 2005-08-29
dc.identifier.uri http://hdl.handle.net/1957/22597
dc.description Graduation date: 2006 en_US
dc.description.abstract This thesis consists of three papers which investigate marginal models, nonparametric approaches, generalized mixed effects models and variance components estimation in longitudinal data analysis. In the first paper, a new marginal approach is introduced for high-dimensional cell-cycle microarray data with no replicates. There are two kinds of correlation for cell-cycle microarray data. Measurements within a gene are correlated and measurements between genes are also correlated since some genes may be biologically related. The proposed procedure combines a classifying method, quadratic inference function method and nonparametric techniques for complex high dimensional cell cycle microarray data. The gene classifying method is first applied to identify genes with similar cell cycle patterns into the same class. Then we use genes within the same group as pseudo-replicates to fit a nonparametric model. The quadratic inference function is applied to incorporate within-gene correlations. An asymptotic chi-squared test is also applied to test whether certain genes have cell cycles phenomena. Simulations and an example of cell-cycle microarray data are illustrated. The second paper proposes a new approach for generalized linear mixed models in longitudinal data analysis. This new approach is an extension of the quadratic inference function (Qu et al., 2000) for generalized linear mixed models. Two conditional extended scores are constructed for estimating fixed effects and random effects. This new approach involves only the first and second conditional moments. It does not require the specification of a likelihood function and also takes serial correlations of errors into account. In addition, the estimation of unknown variance components associated with random effects or nuisance parameters associated with working correlations are not required. Furthermore, it does not require the normality assumption for random effects. In the third paper, we develop a new approach to estimate variance components using the second-order quadratic inference function. This is an extension of the quadratic inference function for variance components estimation in linear mixed models. The new approach does not require the specification of a likelihood function. In addition, we propose a chi-squared test to test whether the variance components of interest are significant. This chi-squared test can also be used for testing whether the serial correlation is significant. Simulations and a real data example are provided as illustration. en_US
dc.language.iso en_US en_US
dc.subject.lcsh Longitudinal method -- Statistical methods en_US
dc.title Semiparametric marginal and mixed models for longitudinal data en_US
dc.type Thesis/Dissertation en_US
dc.degree.name Doctor of Philosophy (Ph. D.) in Statistics en_US
dc.degree.level Doctoral en_US
dc.degree.discipline Science en_US
dc.degree.grantor Oregon State University en_US
dc.contributor.committeemember Murtaugh, Paul A.
dc.contributor.committeemember Logendran, Logan R.
dc.description.digitization File scanned at 300 ppi (Monochrome, 24-bit Color) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR. en_US
dc.description.peerreview no en_us


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