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Analysis of Non-ignorable Missing and Left-Censored Longitudinal Biomarker Data

Sattar, Abdus (2010) Analysis of Non-ignorable Missing and Left-Censored Longitudinal Biomarker Data. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

In a longitudinal study of biomarker data collected during a hospital stay, observations may be missing due to administrative reasons, the death of the subject or the subject's discharge from the hospital, resulting in non-ignorable missing data. Standard likelihood-based methods for the analysis of longitudinal data, e.g, mixed models, do not include a mechanism that accounts for the different reasons for missingness. Rather than specifying a full likelihood function for the observed and missing data, we have proposed a weighted pseudo likelihood (WPL) method. Using this method a model can be built based on available data by accounting for the unobserved data via weights which are then treated as nuisance parameters in the model. The WPL method accounts for the nuisance parameters in the computation of the variances of parameter estimates. The performance of the proposed method has been compared with a number of widely used methods. The WPL method is illustrated using an example from the Genetic and Inflammatory Marker of Sepsis (GenIMS) study. A simulation study has been conducted to study the properties of the proposed method and the results are competitive with the widely used methods.In the second part, our goal is to address the problem of analyzing left-censored longitudinally measured biomarker data when subjects are lost due to the above mentioned reasons. We propose to analyze one such biomarker, IL-6, obtained from the GenIMS study, using a weighted random effects Tobit (WRT) model. We have compared the results of the WRT model with the random effects Tobit model. The simulation study shows that the WRT model estimates are approximately unbiased. The correct standard error has been computed using asymptotic pseudo likelihood theory. The use of multiple weights across the panel improves the estimate and produces smaller root mean square error. Therefore, the WRT model with multiple weights across panels is the recommended model for analyzing non-ignorable missing and left-censored biomarker longitudinal data. Model selection is an extremely important part of the analysis of any data set. As illustrated in these analyses, conclusions, which can directly impact public health, depend heavily on the data analytic approach.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Sattar, Abdussattarphd@gmail.com
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairWeissfeld, Lisa Alweis@pitt.eduLWEIS
Committee MemberChang, Chung-Chouchangj@pitt.eduCHANGJ
Committee MemberJeong, Jong-Hyeonjeong@nsabp.pitt.eduJJEONG
Committee MemberKong, Lanlkong@pitt.eduLKONG
Committee MemberUnruh, Markunruh@pitt.eduUNRUH
Date: 28 January 2010
Date Type: Completion
Defense Date: 29 September 2009
Approval Date: 28 January 2010
Submission Date: 20 October 2009
Access Restriction: 5 year -- Restrict access to University of Pittsburgh for a period of 5 years.
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: left-censored biomarker data; Longitudinal data analysis; non-ignorable missingness; pseudo likelihood theory
Other ID: http://etd.library.pitt.edu/ETD/available/etd-10202009-221943/, etd-10202009-221943
Date Deposited: 10 Nov 2011 20:03
Last Modified: 15 Nov 2016 13:50
URI: http://d-scholarship.pitt.edu/id/eprint/9495

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