Efficient nonparametric confidence bands for receiver operating-characteristic curves

Statistical Methods in Medical Research
Pablo Martínez-CamblorNorberto Corral

Abstract

Receiver operating-characteristic curve is a popular graphical method frequently used in order to study the diagnostic capacity of continuous (bio)markers. In spite of the existence of a huge number of papers devoted to both theoretical and practical aspects of this topic, the construction of confidence bands has had little impact in the specialized literature. As far as the authors know, in the CRAN there are only three R packages providing receiver operating-characteristic curve confidence regions: plotROC, pROC and fbroc. This work tries to fill this gap studying and proposing a new nonparametric method to build confidence bands for both the standard receiver operating-characteristic curve and its generalization for nonmonotone relationships. The behavior of the proposed procedure is studied via Monte Carlo simulations and the methodology is applied on two real-world biomedical problems. In addition, an R function to compute the proposed and some of the previously existing methodologies is provided as online supplementary material.

References

Jul 1, 1993·Medical Decision Making : an International Journal of the Society for Medical Decision Making·G Ma, W J Hall
Jan 23, 1999·Medical Decision Making : an International Journal of the Society for Medical Decision Making·D Mossman
Mar 1, 2000·Statistics in Medicine·K JensenH Schäfer
Mar 19, 2011·BMC Bioinformatics·Xavier RobinMarkus Müller
Feb 11, 2012·Journal of Hepatology·Jose Ramón Vidal-CastiñeiraCarlos López-Larrea
Apr 24, 2012·Journal of Applied Statistics·Eugene Demidenko
Jul 6, 2014·Statistical Methods in Medical Research·Pablo Martínez-CamblorEva Cernuda-Morollón

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Citations

Sep 19, 2020·The International Journal of Biostatistics·Pablo Martínez-CamblorA James O'Malley

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Software Mentioned

R function
R package pROC
pROC
R
fbroc
DEK
CRAN
JMS

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