Publication details for Tahani Coolen-MaturiCoolen-Maturi, T., Elkhafifi, F.F. & Coolen, F.P.A. (2014). Three-group ROC analysis: a nonparametric predictive approach. Computational Statistics & Data Analysis 78: 69-81.
- Publication type: Journal Article
- ISSN/ISBN: 0167-9473 (print)
- DOI: 10.1016/j.csda.2014.04.005
- Keywords: Diagnostic accuracy, Lower and upper probability, Nonparametric predictive inference, Receiver operating characteristic (ROC) surface, Youden’s index.
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
Measuring the accuracy of diagnostic tests is crucial in many application areas, in particular medicine and health care. The receiver operating characteristic (ROC) surface is a useful tool to assess the ability of a diagnostic test to discriminate among three ordered classes or groups. Nonparametric predictive inference (NPI) is a frequentist statistical method that is explicitly aimed at using few modelling assumptions in addition to data, enabled through the use of lower and upper probabilities to quantify uncertainty. It focuses exclusively on a future observation, which may be particularly relevant if one considers decisions about a diagnostic test to be applied to a future patient. The NPI approach to three-group ROC analysis is presented, including results on the volumes under the ROC surfaces and choice of decision threshold for the diagnosis.