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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.
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...
Mediation analysis seeks to quantify the portion of the effect of an exposure on an outcome that occurs through a postulated causal pathway. Changes in an observable mediator variable reflect activity on the pathway. To measure effects...
Meta-analysis is a widely used tool for synthesizing results from multiple studies. As such, it plays an essential role in evidence-based medicine and clinical decision-making. However, a few concerns may seriously affect the validity of...
Single-Index models are a semiparametric tool which offer a compromise between the flexibility of a fully non-parametric model and the interpretability of a parametric model. Additionally, restricting the link function to be monotone...
Due to the rapid development of imaging acquisition techniques, a large amount of large-scale biomedical studies on neuro-related diseases have been established, such as Alzheimer's Disease Neuroimaging Initiative (ADNI) study, the Human...
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....
Prostate Specific Antigen (PSA) is a widely accepted marker of prostate cancer recurrence. Genitourinary surgeons and oncologists are particularly interested in whether a surgery using robotic device improves times to PSA recurrence...
When we construct a Bayesian hierarchical model, we are required to specify a prior distribution. There are some considerations when specifying the prior distribution, such as prior misspecification, and this use of preliminary estimates...
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...
Variable selection methods have become an important and growing problem in Bayesian analysis. The literature on Bayesian variable selection methods tends to be applied to a single response- type, and more typically, a continuous response...
In this dissertation, we introduce a model that we call the Bayesian wavelet neural network (BWNN) for variable selection in the sparsely observed spatio-temporal data setting. Our first attempts were motivated by a process augmentation...
In the classical literature of Statistics, a large amount of methods have been addressed for data analysis on Euclidean space. Over the past few decades, however, a growing interest has been devoted to non-Euclidean data analysis. In...
This dissertation introduces a nonparametric regression approach for multivariate skewed responses using Bayesian additive regression trees (BART). Existing BART methods use ensembles of decision trees to model a mean function, and have...
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...
In large-scale imaging studies, addressing heterogeneity presents a big challenge arising from diverse geographic locations, variations in instrumentation, differences in image acquisition protocols, and undisclosed latent variables....
Evidence synthesis has been widely used in contemporary evidence-based medicine. In evidence synthesis, systematic reviews and meta-analyses are transparent and reproducible methods for synthesizing data from multiple sources, thereby...
Following the pioneering research conducted by Chipman et al. (2010), the utilization of Bayesian Additive Regression Trees (BART) model has proliferated significantly across a multitude of domains. BART's inherent versatility and...
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.
