Journal
STATISTICAL METHODS IN MEDICAL RESEARCH
Volume 27, Issue 10, Pages 3092-3103Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/0962280217692830
Keywords
Polytomous discrimination index; multi-category classification; diagnostic medicine; nonparametric estimation; multi-sample U-statistics
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Polytomous discrimination index is a novel and important diagnostic accuracy measure for multi-category classification. After reconstructing its probabilistic definition, we propose a nonparametric approach to the estimation of polytomous discrimination index based on an empirical sample of biomarker values. In this paper, we provide the finite-sample and asymptotic properties of the proposed estimators and such analytic results may facilitate the statistical inference. Simulation studies are performed to examine the performance of the nonparametric estimators. Two real data examples are analysed to illustrate our methodology.
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