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Retrospective Mixed Model and Propensity Score Methods for Case Control Data
(2015-09-28)
In chapter one a Liability Threshold Mixed Linear Model (LTMLM) association statistic is introduced for ascertained case-control studies that increases power vs. existing mixed model methods for diseases with low prevalence, ...
Semiparametric Methods for Causal Mediation Analysis and Measurement Error
(2015-08-06)
Chapter 1: Since the early 2000s, evidence has accumulated for a significant differential effect of first-line antiretroviral therapy (ART) regimens on human immunodeficiency virus (HIV) treatment outcomes, such as CD4 ...
Robust Semi-Parametric Inference in Semi-Supervised Settings
(2016-05-17)
In this dissertation, we consider semi-parametric estimation problems under semi-supervised (SS) settings, wherein the available data consists of a small or moderate sized labeled data (L), and a much larger unlabeled data ...
On the Statistical Properties of Epidemics on Networks
(2016-05-09)
One major aim of statistics is to systematically study outcomes of interest in a population by observing the properties of a sample of that population. Some outcomes, such as the total number of people infected in an ...
Statistical methods for analyzing genetic sequencing association studies
(2016-05-16)
Case-control genetic sequencing studies are increasingly being conducted to identify rare variants associated with complex diseases. Oftentimes, these studies collect a variety of secondary traits--quantitative and qualitative ...
Bayesian Statistical Framework for High-Dimensional Count Data and its Application in Microbiome Studies
(2017-05-10)
High-dimensional count data arising from multinomial sampling is ubiquitous in microbiome studies. This dissertation aims to develop flexible Bayesian framework to model high-dimensional count data, which provides reliable ...
Statistical Methods for Evidence Synthesis
(2018-08-31)
In many empirical disciplines, scientific discovery is modularized into discrete papers each investigating one or more hypotheses. Synthesizing these modules of evidence is critical to inform a balanced and appropriately ...
Robust Methods for Estimating the Intraclass Correlation Coefficient and for Analyzing Recurrent Event Data
(2018-09-25)
Robust statistics have emerged as a family of theories and techniques for estimating parameters of a model while dealing with deviations from idealized assumptions. Examples of deviations include misspecification of ...
Methods for Estimating Hidden Structure and Network Transitions in Genomics
(2017-05-04)
The explosion of data arising from advances in high throughput sequencing has allowed scientists to study genomics in far greater detail. However, this high resolution picture of cells often makes it difficult to see the ...
Methods for the Analysis of Complex Time-to-Event Data
(2017-08-10)
This dissertation work is motivated by two time-to-event data examples, where current statistical methods are inadequate in addressing the nuances of data and the corresponding scientific question(s) of interest.
In Chapter ...