Beta regression for modeling a covariate-adjusted ROC.

dc.contributor.advisorTubbs, Jack Dale.
dc.creatorStanley, Sarah Elizabeth, 1992-
dc.creator.orcid0000-0002-0740-8688
dc.date.accessioned2018-05-30T13:35:16Z
dc.date.available2018-05-30T13:35:16Z
dc.date.created2018-05
dc.date.issued2018-03-12
dc.date.submittedMay 2018
dc.date.updated2018-05-30T13:35:16Z
dc.description.abstractThe receiver operating characteristic (ROC) curve is a well-accepted measure of accuracy for diagnostic tests. In many applications, test performance is affected by covariates. As a result, several regression methodologies have been developed to model the ROC as a function of covariate effects within the generalized linear model (GLM) framework. We present an alternative to two existing parametric and semi-parametric methods for estimating a covariate adjusted ROC. These methods utilize GLMs for binary data with an expected value equal to the probability that the test result for a diseased subject exceeds that of a non-diseased subject with the same covariate values. This probability is referred to as the placement value. Given that the ROC is the cumulative distribution of the placement values, we propose a new method that directly models the placement values through beta regression. We compare the beta regression method to the existing parametric and semiparametric approaches with simulation and a clinical study. Bayesian extensions for the parametric and the beta methods are developed and the performance of these extensions is evaluated through simulation study. We apply the proposed beta regression approach and its Bayesian extension to a simple network meta-analysis problem using a Bayesian indicator model selection method.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2104/10377
dc.language.isoen
dc.rights.accessrightsWorldwide access.
dc.rights.accessrightsAccess changed 7/31/20.
dc.subjectROC. ROC regression. Beta regression.
dc.titleBeta regression for modeling a covariate-adjusted ROC.
dc.typeThesis
dc.type.materialtext
local.embargo.lift2020-05-01
local.embargo.terms2020-05-01
thesis.degree.departmentBaylor University. Dept. of Statistical Science.
thesis.degree.grantorBaylor University
thesis.degree.levelDoctoral
thesis.degree.namePh.D.

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