A Marginal-Mean ANOVA Approach for Analyzing Multireader Multicase Radiological Imaging Data

Stephen L Hillis

doi:10.1002/sim.5926

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A Marginal-Mean ANOVA Approach for Analyzing Multireader Multicase Radiological Imaging Data

Journal article

Peer reviewed

A Marginal-Mean ANOVA Approach for Analyzing Multireader Multicase Radiological Imaging Data

Stephen L Hillis

Statistics in medicine, Vol.33(2), pp.330-360

01/30/2014

DOI: 10.1002/sim.5926

PMCID: PMC4640471

PMID: 24038071

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Abstract

The correlated-error ANOVA method proposed by Obuchowski and Rockette (OR) has been a useful procedure for analyzing reader-performance outcomes, such as the area under the receiver-operating-characteristic curve, resulting from multireader multicase radiological imaging data. This approach, however, has only been formally derived for the test-by-reader-by-case factorial study design. In this paper I show that the OR model can be viewed as a marginal-mean ANOVA model. Viewing the OR model within this marginal-mean ANOVA framework is the basis for the marginal-mean ANOVA approach, the topic of this paper. This approach (1) provides an intuitive motivation for the OR model, including its covariance-parameter constraints; (2) provides easy derivations of OR test statistics and parameter estimates, as well as their distributions and confidence intervals; and (3) allows for easy generalization of the OR procedure to other study designs. In particular, I show how one can easily derive OR-type analysis formulas for any balanced study design by following an algorithm which only requires an understanding of conventional ANOVA methods.

correlated ANOVA

diagnostic radiology

Receiver operating characteristic (ROC) curve

Details

Title: Subtitle: A Marginal-Mean ANOVA Approach for Analyzing Multireader Multicase Radiological Imaging Data
Creators: Stephen L Hillis - Departments of Radiology and Biostatistics, The University of Iowa, 3710 Medical Laboratories, 200 Hawkins Drive, Iowa City, IA 52242-1077, U.S.A.; Comprehensive Access and Delivery Research and Evaluation (CADRE) Center, Iowa City VA Health Care System
Resource Type: Journal article
Publication Details: Statistics in medicine, Vol.33(2), pp.330-360
DOI: 10.1002/sim.5926
PMID: 24038071
PMCID: PMC4640471
NLM abbreviation: Stat Med
ISSN: 0277-6715
eISSN: 1097-0258
Language: English
Date published: 01/30/2014
Academic Unit: Radiology; Biostatistics
Record Identifier: 9984051995702771

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