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NONPARAMETRIC METHODS IN COMPARING TWO CORRELATED ROC CURVES

Bandos, Andriy (2005) NONPARAMETRIC METHODS IN COMPARING TWO CORRELATED ROC CURVES. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

Receiver Operating Characteristic (ROC) analysis is one of the most widely used methods for summarizing intrinsic properties of a diagnostic system, and is often used in evaluation and comparison of diagnostic technologies, practices or systems. These methods play an important role in public health since they enable researchers to achieve a greater insight into the properties of diagnostic tests and eventually to identify a more appropriate and beneficial procedure for diagnosing or screening for a specific disease or condition. The topic of this dissertation is the nonparametric testing of hypotheses about ROC curves in a paired design setting. Presently only a few nonparametric tests are available for the task of comparing two correlated ROC curves. Thus we focus on this basic problem leaving the extensions to more complex settings for future research. In this work, we study the small-sample properties of the conventional nonparametric method presented by DeLong et al. and develop three novel nonparametric approaches for comparing diagnostic systems using the area under the ROC curve. The permutation approach that we present enables conducting an exact test and allows for an easy-to-use asymptotic approximation. Next, we derive a closed-form bootstrap-variance, construct an asymptotic test, and compare them to the existing competitors. Finally exploiting the idea of "discordances" we develop a conceptually new conditional approach that offers advantages in certain types of studies.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Bandos, Andriyanb61@pitt.eduANB61
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairRockette, Howard E
Committee MemberGur, David
Committee MemberAnderson, Stewart
Committee MemberArena, Vincent C
Date: 13 September 2005
Date Type: Completion
Defense Date: 25 July 2005
Approval Date: 13 September 2005
Submission Date: 29 July 2005
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: School of Public Health > Biostatistics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: diagnostic test evaluation; bootstrap; nonparametric mehods; ROC; permutations
Other ID: http://etd.library.pitt.edu/ETD/available/etd-07292005-012632/, etd-07292005-012632
Date Deposited: 10 Nov 2011 19:54
Last Modified: 15 Nov 2016 13:47
URI: http://d-scholarship.pitt.edu/id/eprint/8697

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