Degree Type

Dissertation

Date of Award

1989

Degree Name

Doctor of Philosophy

Department

Statistics

First Advisor

H. T. David

Second Advisor

H. S. Wieand

Abstract

A statistical method is developed for the comparison of diagnostic tests when one test is based upon a discrete separator variable and the other(s) is/are based upon a continuous separator variable(s). This is a situation in which present statistical methods are not always appropriate;The method so developed makes "point-wise" comparisons of the sensitivities of the diagnostic tests after they have been set to have each of the specificities attainable by the one with the discrete separator variable. It is shown that, under very mild conditions, the vector of such comparisons is asymptotically multivariate normal. Monte Carlo studies show hypothesis testing procedures based upon this method have good power, but also tend to be anticonservative. This latter problem is seen to arise mainly from the required specificity estimation and to be alleviated with greater sample sizes. Several additional "fixes" to this problem are also examined. Application of the method to two published data sets is presented.

DOI

https://doi.org/10.31274/rtd-180813-8904

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Craig Allen Beam

Language

en

Proquest ID

AAI8920112

File Format

application/pdf

File Size

115 pages

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