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Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
A major objective in modern human genetics research is to better understand the molecular mechanisms underlying human complex traits. Although genome-wide association studies (GWASs) have been successful in detecting thousands of trait...
Genome-wide association studies (GWAS) have significantly contributed to the identification of genetic variants by leveraging thousands of loci associated with complex traits and diseases, leading to breakthroughs in human genetics...
A substantial amount of work exists for tensor regression analysis in a variety of clinical settings, including neuroimaging, genomics, and dental medicine. Our motivation for this paper is from a study of periodontal disease (PD) with a...
In meta-analysis practice, effect measures from individual studies are synthesized to produce an overall result. Researchers frequently face studies that report the same outcome differently. The first scenario is that continuous outcomes...
Many phenomena in ecology, evolution, and organismal biology relate to how a system changes through time. Unfortunately, most of the statistical methods that are common in these fields represent samples as static scalars or vectors....
In the rapidly evolving world of molecular biology, genetics and epigenetics have taken crucial roles in unraveling the complex origins of diseases. Through gene expression, genes govern the synthesis of proteins, the fundamental...
In many biomedical studies, multiple sourced data with varied features are observed on the same subjects. Examples include longitudinal markers measured along with a time-to-event outcome of interest and multiset data with varied...
This paper considers a few problems in the area of bioinformatics. First the problem of comparing distributions of chromosomal shapes estimated from wild type and gene knock-out Hi-C data. For each contact data matrix, we estimate...
In some large clinical studies, it may be impractical to give physical examinations to every subject at his/her last monitoring time in order to diagnose the occurrence of an event of interest. This challenge creates survival data with...
Since the introduction of anti-hypertensive medications in the mid-1950s, there has been an increased use of blood pressure medications in the US. The growing use of anti-hypertensive treatment has affected the distribution of blood...
The longitudinal data analysis plays an important role in a lot of applications today. It is defined by many measurements are obtained over many times. These measurements has complicated correlation structure because they are obtained...
Identifying influential observations in the data is desired to ensure proper inference and statistical analysis. Modern methods to identify influence cases uses cross-validation diagnostics based on the effect of deletion of i-th...
Dissertation focuses on exploring the capabilities of the SRSF statistical shape analysis framework through various applications. Each application gives rise to a specific mathematical shape analysis model. The theoretical investigation...
Investigating Significant Mutations of US SARS-CoV-2 RNA Sequences Using Stratified Spaces, and Genetic Connection to Drug-Induced Liver Injury (DILI) through Statistical Learning Methods
The first half of this dissertation aims to give a motivation for working with metric tree data. We give a brief introduction and application of data analysis on stratified spaces with special emphasis on phylogenetic tree data analysis....
The genetic architecture of Alzheimer's disease is largely unknown. Imaging-wide association study (IWAS) that integrates brain imaging information with genome-wide association studies (GWAS) results have successfully enhanced the...
Meta-analysis is a valuable tool to synthesize evidence and pool results from multiple sources. It plays an integral role in evidence-based medicine and may have a direct impact in the clinical setting. This dissertation explores several...
A basket trial evaluates one or more treatments for efficacy among more than one cancer type in a single clinical trial. Although the treatment targets the common genetic aberration that is associated with different cancer types, the...
Big data has brought both opportunities and challenges to our research community. Complex models can be built with large volumes of data researchers have never had access before. In this study we explore the structure learning of...
Unlike many of the current statistical models focusing on highly skewed longitudinal data, we present a novel model accommodating a skewed error distribution, partial linear median regression function, nonparametric wavelet expansion, ...
Human life and diseases are inseparable. For millions of years, humans and their ancestors suffered from diseases, caused by infectious pathogens (e.g., bacteria, viruses, parasites) and caused by our own bodies as they age and...
In many clinical studies, each patient is at risk of recurrent events as well as the terminating event. In Chapter 2, we present a novel latent-class based semiparametric joint model that offers clinically meaningful and estimable...
Meta-analysis has been a popular statistical tool to combine scientific findings from multiple studies addressing the same topic. Publication bias and heterogeneity are two critical issues that may influence the validity of the...
In this work, we propose a framework to develop testable hypotheses for the effects of changes in the experimental conditions on the dynamics of a biological system using mathematical models. We discuss the uncertainties present in this...
Adaptively incorporating historical information into analyses of current data can improve the precision of inference without requiring additional new observation. Unfortunately, not all borrowing methods are suitable when limited...
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
