Physical Sciences and Mathematics Commons^™

Disk Diffusion Breakpoint Determination Using A Bayesian Nonparametric Variation Of The Errors-In-Variables Model, Glen Richard Depalma

Open Access Dissertations

Drug dilution (MIC) and disk diffusion (DIA) are the two most common antimicrobial susceptibility tests used by hospitals and clinics to determine an unknown pathogen's susceptibility to various antibiotics. Both tests use breakpoints to classify the pathogen as either susceptible, indeterminant, or resistant to each drug under consideration. While the determination of these drug-specific MIC classification breakpoints is straightforward, determination of comparable DIA breakpoints is not. It is this issue that motivates this research.

Traditionally, the error-rate bounded (ERB) method has been used to calibrate the two tests. This procedure involves determining DIA breakpoints which minimize the observed discrepancies between …

Objective Bayesian Hypothesis Testing And Estimation For The Risk Ratio In A Correlated 2x2 Table With Structural Zero, Xiaohua Bai

All Theses

We illustrate the construction of an objective Bayesian hypothesis testing and point estimation for the risk ratio in a correlated 2x2 table with structural zero. We solve the problem using Bayesian method through the reference prior, and corresponding posterior distribution of the risk ratio can be derived. Then combined the intrinsic discrepancy, an invariant inforamtion-based loss function, provides an integrated objective Bayesian solution to both hypothesis testing and point estimation problems.

Applications Of Bayesian Statistics In Fluvial Bed Load Transport, Mark L. Schmelter

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The science of fluvial sediment transport studies the processes involved in the movement of river sediments. It is commonly understood that when rivers flood they have a great capacity to move sand, gravel, and even larger cobbles and boulders. This process is not only limited to the big floods that usually attract so much attention, but also the more common river flows play a very important role in forming a river. As engineers and scientists, we like to be able to develop equations and relationships that describe some natural phenomenon—in this case, fluvial sediment transport. While we are able to …