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Latent variable models for longitudinal study with informative missingness

Qin, Li (2006) Latent variable models for longitudinal study with informative missingness. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

Missing problem is very common in today's public health studies because of responses measured longitudinally. In this dissertation we proposed two latent variable models for longitudinal data with informative missingness. In the first approach, a latent variable model is developed for the categorical data, dividing the observed data into two latent classes: a 'regular' class and a 'special' class. Outcomes belonging to the regular class can be modeled using logistc regression and the outcomes in the special class have pre-deterministic values. Under the important assumption of conditional independence in the latent variable models, the longitudinal responses and the missingness process are independent given the latent classes. Parameters that we are interested in are estimated by the method of maximum likelihood based on the above assumption and correlation between responses. In the second approach, the latent variable in the proposed model is continuous and assumed to be normally distributed with unity variance. In the latent variable model, the values of the latent variable are affected by the missing patterns and the latent variable is also a covariate in modeling the longitudinal responses. We use the EM algorithm to obtain the estimates of the parameters and Gauss-Hermite quadrature is used to approximate the integral of the latent variable. The covariance matrix of the estimates can be calculated by using the bootstrap method or obtained from the inverse of the Fisher information matrix of the final marginal likelihood.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Qin, Liliq1@pitt.eduLIQ1
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairWeissfeld, Lisa Alweis@pitt.eduLWEIS
Committee MemberLevine, Michele Dlevinem@upmc.eduMLEVINE
Committee MemberMazumdar, Satimaz1@pitt.eduMAZ1
Committee MemberAnderson, Stewartsja@nsabp.pitt.eduSJA
Date: 7 June 2006
Date Type: Completion
Defense Date: 4 April 2006
Approval Date: 7 June 2006
Submission Date: 11 April 2006
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: Graduate School of Public Health > Biostatistics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Hermite integration; shared parameter model; tetrachoric correlation; weighted GEE
Other ID: http://etd.library.pitt.edu/ETD/available/etd-04112006-161539/, etd-04112006-161539
Date Deposited: 10 Nov 2011 19:35
Last Modified: 19 Dec 2016 14:35
URI: http://d-scholarship.pitt.edu/id/eprint/6995

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