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Regression Analysis In Longitudinal Studies With Non-ignorable Missing Outcomes

Shen, Changyu (2004) Regression Analysis In Longitudinal Studies With Non-ignorable Missing Outcomes. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

One difficulty in regression analysis for longitudinal data is that the outcomes are oftenmissing in a non-ignorable way (Little & Rubin, 1987). Likelihood based approaches todeal with non-ignorable missing outcomes can be divided into selection models and patternmixture models based on the way the joint distribution of the outcome and the missing-dataindicators is partitioned. One new approach from each of these two classes of models isproposed. In the first approach, a normal copula-based selection model is constructed tocombine the distribution of the outcome of interest and that of the missing-data indicatorsgiven the covariates. Parameters in the model are estimated by a pseudo maximum likelihoodmethod (Gong & Samaniego, 1981). In the second approach, a pseudo maximum likelihoodmethod introduced by Gourieroux et al. (1984) is used to estimate the identifiable parametersin a pattern mixture model. This procedure provides consistent estimators when the meanstructure is correctly specified for each pattern, with further information on the variancestructure giving an efficient estimator. A Hausman type test (Hausman, 1978) of modelmisspecification is also developed for model simplification to improve efficiency. Separatesimulations are carried out to assess the performance of the two approaches, followed byapplications to real data sets from an epidemiological cohort study investigating dementia,including Alzheimer's disease.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Shen, Changyuchsst52@pitt.eduCHSST52
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairWeissfeld, Lisa Alweis@pitt.eduLWEIS
Committee MemberTang, Gonggot1@pitt.eduGOT1
Committee MemberDodge, Hiroko Hdodge@edc.pitt.edu
Committee MemberRockette, Howard Eherbst@pitt.eduHERBST
Committee MemberGanguli, MaryGanguliM@upmc.eduGANGULIM
Committee MemberMazumdar, Satimaz1@pitt.eduMAZ1
Date: 21 April 2004
Date Type: Completion
Defense Date: 22 March 2004
Approval Date: 21 April 2004
Submission Date: 16 April 2004
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: Intermittent Missingness; Mini Mental State Exam; Missing Not At Random
Other ID: http://etd.library.pitt.edu/ETD/available/etd-04162004-232213/, etd-04162004-232213
Date Deposited: 10 Nov 2011 19:37
Last Modified: 19 Dec 2016 14:35
URI: http://d-scholarship.pitt.edu/id/eprint/7214

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