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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 ...
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, ...
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 ...
Three Aspects of Biostatistical Learning Theory
(2015-05-15)
In the present dissertation we consider three classical problems in biostatistics and statistical learning - classification, variable selection and statistical inference.
Chapter 2 is dedicated to multi-class classification. ...
Sensitivity Analysis for Linear Structural Equation Models, Longitudinal Mediation With Latent Growth Models and Blended Learning in Biostatistics Education
(2015-05-15)
In chapter 1, we consider the biases that may arise when an unmeasured confounder is omitted from a structural equation model (SEM) and sensitivity analysis techniques to correct for such biases. We give an analysis of ...
Statistical Methods for Analyzing Complex Spatial and Missing Data
(2015-12-04)
In chapter 1, we develop a novel two-dimensional wavelet decomposition to decompose spatial surfaces into different frequencies without imposing any restrictions on the form of the spatial surface. We illustrate the ...
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 Estimating the Effects of Multi-Pollutant Exposures in Children's Health Research
(2016-09-15)
We develop statistical strategies to explore how time-varying exposures to heavy metal mixtures affects cognition and cognitive trajectories in children. In chapter 1, we develop a Bayesian model, called Lagged Kernel ...
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 ...