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Bayesian approach to inference and variable selection for misclassified and under-reported response models.
(2009-07-01)
Response partial missingness is a problem in studies conducted in a variety of disciplines. We investigate the impact ignoring response partial missingness has on determining a subset of significant covariates in non-linear ...
Topics in Bayesian sample size determination and Bayesian model selection.
(2007-08-21)
This dissertation contains three topics using the Bayesian paradigm for statistical inference. The first topic is related to Bayesian sample size determination with a misclassified prevalence variable when two possibly ...
Bayesian adaptive designs for non-inferiority and dose selection trials.
(2006-07-31)
The process of conducting a pharmaceutical clinical trial often produces information in a way that can be used as the trial progresses. Bayesian methods offer a highly flexible means of using such information yielding ...
Bayesian and maximum likelihood methods for some two-segment generalized linear models.
(2008-10-14)
The change-point (CP) problem, wherein parameters of a model change abruptly
at an unknown covariate value, is common in many fields, such as process control,
epidemiology, and ecology. CP problems using two-segment ...
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 ...
Bayesian approaches to problems in drug safety and adaptive clinical trial designs.
(2008-06-10)
The efficacy, safety, and cost of pharmaceutical products are critical issues in society today. Motivated both financially and ethically by these concerns, the pharmaceutical industry has continually worked to develop ...
Bayesian evaluation of surrogate endpoints.
(2006-07-29)
To save time and reduce the size and cost of clinical trials, surrogate endpoints are frequently measured instead of true endpoints. The proportion of the treatment effect explained by surrogate endpoints (PTE) is a widely ...
Bayesian approaches to parameter estimation and variable selection for misclassified binary data.
(2009-08-26)
Binary misclassification is a common occurrence in statistical studies that, when ignored, induces bias in parameter estimates. The development of statistical methods to adjust for misclassification is necessary to allow ...
Bayesian and pseudo-likelihood interval estimation for comparing two Poisson rate parameters using under-reported data.
(2009-04-01)
We present interval estimation methods for comparing Poisson rate parameters from two independent populations with under-reported data for the rate difference and the rate ratio. In addition, we apply the Bayesian paradigm ...
Normal approximation for Bayesian models with non-sampling bias.
(, 2014-01-28)
Bayesian sample size determination can be computationally intensive for mod-
els where Markov chain Monte Carlo (MCMC) methods are commonly used for in-
ference. It is also common in a large database where the unmeasured ...