Browsing Department of Statistical Sciences by Title
Now showing items 26-42 of 42
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Poisson regression models for interval censored count data.
(2011-05-12)In this dissertation, we develop Bayesian models for interval censored Poisson counts in the presence of zero inflation and missing data. As a motivating example, we consider data arising from a Human Immunodeficiency Virus ... -
A restriction method for the analysis of discrete longitudinal missing data.
(2007-02-07)Clinical trial endpoints are traditionally either physical or laboratory responses. However, such endpoints fail to reflect how patients feel or function in their daily activities. Missing data is inevitable in most every ... -
Sample size determination for Emax model, equivalence / non-inferiority test and drug combination in fixed dose trials.
(2008-06-11)Sample size determination is one of the most important aspects in clinical designs. Careful selection of appropriate sample sizes can not only save economic and human resources, but also improve model performance and ... -
Sample size determination for two sample binomial and Poisson data models based on Bayesian decision theory.
(, 2014-01-28)Sample size determination continues to be an important research area in statistical analysis due to the cost and time constraints that often exist in areas such as pharmaceuticals and public health. We begin by outlining ... -
Selected topics in high-dimensional statistical learning.
(, 2012-11-29)Advances in microarray technology have equipped researchers to measure gene expression levels simultaneously from thousands of genes, yielding increasingly large and complex data sets. However, due to the cost and time ... -
Selected topics in statistical discriminant analysis.
(2007-02-07)This dissertation consists of three selected topics in statistical discriminant analysis: dimension reduction, regularization methods, and imputation methods. In Chapter 2 we first derive a new linear dimension-reduction ... -
Semiparametric AUC regression for testing treatment effect in clinical trial.
(2008-10-15)We investigated distribution free methods for testing covariate adjusted treatment effects. Dodd and Pepe (2003) proposed a semiparametric logistic regression model for the area under the ROC curve (AUC). Their model ... -
Semiparametric estimation and forecasting for functional-coefficient autoregressive models.
(, 2013-09-16)The functional-coefficient autoregressive (FCAR) model is a useful structure for reducing the size of the class of nonlinear time series models. Local linear regression has been shown to be an effective method for estimating ... -
Spatial Poisson regression : Bayesian approach correcting for measurement error with applications.
(2010-10-08)Under and over reporting is a common problem in social science research, adverse events associated with drug use, and many other areas of research. Furthermore, overdispersion is another common problem that plagues count ... -
Statistical considerations in the analysis of multivariate Phase II testing.
(2009-04-01)In medical diagnosis and treatment, many diseases are characterized by multiple measurable differences in clinical (e.g., physical or radiological differences) and laboratory parameters (biomarkers from "healthy levels". ... -
Statistical monitoring of a process with autocorrlated output and observable autocorrelated measurement error.
(2008-06-11)Our objective in this work is to monitor a production process yielding output that is correlated and contaminated with autocorrelated measurement error. Often, the elimination of the causes of the autocorrelation of the ... -
Topics in Bayesian inference : induced priors, proof loading for combination drugs, and distribution of archaeological skeletal assemblages.
(2010-06-23)Many illnesses are often treated with a combination of drugs. These combinations can be more effective than using any of the component drugs individually, but may lead to increased safety concerns. Prior to human trials ... -
Topics in Bayesian models with ordered parameters : response misclassification, covariate misclassification, and sample size determination.
(2015-06-30)Researchers often analyze data assuming models with constrained parameters. Order constrained parameters are of particular interest. In this dissertation, we examine three Bayesian models which incorporate ordered parameters. ... -
Topics in dimension reduction and missing data in statistical discrimination.
(2010-02-02)This dissertation is comprised of four chapters. In the first chapter, we define the concept of linear dimension reduction, review some popular linear dimension reduction procedures, discuss background research that we ... -
Topics in interval estimation for two problems using double sampling.
(, 2014-01-28)This dissertation addresses two distinct topics. The first considers interval estimation methods of the odds ratio parameter in two by two cohort studies with misclassified data. That is, we derive two first-order ... -
Topics in multivariate covariance estimation and time series analysis.
(, 2014-01-28)In this dissertation we will discuss two topics relevant to statistical analysis. The first is a new test of linearity for a stationary time series, that extends the bootstrap methods of Berg et al. (2010) to goodness-of-fit ... -
Topics in odds ratio estimation in the case-control studies and the bioequivalence testing in the crossover studies.
(, 2011-12-19)The double-sampling paradigm, which has become an important part of the epidemiological designs, includes two stages. First, individuals are classified into groups by disease and exposure levels using a fallible test, and ...