Electronic Journal of Statistics

Bias–corrected methods for estimating the receiver operating characteristic surface of continuous diagnostic tests

Khanh To Duc, Monica Chiogna, and Gianfranco Adimari

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Abstract

Verification bias is a well-known problem that may occur in the evaluation of predictive ability of diagnostic tests. When a binary disease status is considered, various solutions can be found in the literature to correct inference based on usual measures of test accuracy, such as the receiver operating characteristic (ROC) curve or the area underneath. Evaluation of the predictive ability of continuous diagnostic tests in the presence of verification bias for an ordinal three-class disease status is here discussed. In particular, several verification bias-corrected estimators of the ROC surface and of the volume underneath are proposed. Consistency and asymptotic normality of the proposed estimators are established and their finite sample behavior is investigated by means of Monte Carlo simulation studies. Two illustrations are also given.

Article information

Source
Electron. J. Statist., Volume 10, Number 2 (2016), 3063-3113.

Dates
Received: June 2016
First available in Project Euclid: 10 November 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1478747030

Digital Object Identifier
doi:10.1214/16-EJS1202

Mathematical Reviews number (MathSciNet)
MR3571963

Zentralblatt MATH identifier
1357.62321

Subjects
Primary: 62C99: None of the above, but in this section
Secondary: 62P10: Applications to biology and medical sciences

Keywords
Verification bias missing at random ROC surface analysis true class fractions

Citation

To Duc, Khanh; Chiogna, Monica; Adimari, Gianfranco. Bias–corrected methods for estimating the receiver operating characteristic surface of continuous diagnostic tests. Electron. J. Statist. 10 (2016), no. 2, 3063--3113. doi:10.1214/16-EJS1202. https://projecteuclid.org/euclid.ejs/1478747030


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References

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