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UBC Theses and Dissertations
Joint inference of NLME and GLMM models with informative censoring Zhang, Hongbin
Abstract
Non-linear mixed effects models (NLME) and generalized linear mixed effects models (GLMM) are commonly used to model longitudinal process. This thesis goes beyond the single process modelling and focuses on jointly modelling multiple longitudinal processes with different types of variables. In particular, we investigate methods on joint inference of NLME and GLMM models for the following three problems: (1) joint models of NLME and GLMM for complete data with NLME for the time-dependent mis-measured covariate and GLMM for discrete longitudinal response; (2) joint models with covariate subject to informative left censoring; and (3) joint models with informative right censoring with respect to both response and covariate. For each problem, we propose two joint modelling methods to obtain "exact" and approximate maximum likelihood estimates (MLEs) of all model parameters. Measurement errors and missing data are addressed simultaneously in a unified way. Some asymptotic results are also developed. The proposed methods are illustrated with a HIV data. Simulation results show that the joint modelling methods perform better than the commonly used naive method and two-step method.
Item Metadata
Title |
Joint inference of NLME and GLMM models with informative censoring
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2014
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Description |
Non-linear mixed effects models (NLME) and generalized linear mixed effects models (GLMM)
are commonly used to model longitudinal process. This thesis goes beyond the single process
modelling and focuses on jointly modelling multiple longitudinal processes with different types
of variables. In particular, we investigate methods on joint inference of NLME and GLMM
models for the following three problems: (1) joint models of NLME and GLMM for complete
data with NLME for the time-dependent mis-measured covariate and GLMM for discrete
longitudinal response; (2) joint models with covariate subject to informative left censoring;
and (3) joint models with informative right censoring with respect to both response and
covariate. For each problem, we propose two joint modelling methods to obtain "exact" and
approximate maximum likelihood estimates (MLEs) of all model parameters. Measurement
errors and missing data are addressed simultaneously in a unified way. Some asymptotic results
are also developed. The proposed methods are illustrated with a HIV data. Simulation results
show that the joint modelling methods perform better than the commonly used naive method
and two-step method.
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Genre | |
Type | |
Language |
eng
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Date Available |
2014-11-19
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0135597
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2015-02
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada