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Accuracy and cut‐off point selection in three‐class classification problems using a generalization of the Youden index
Author(s) -
Nakas, Christos T.,
Alonzo Todd A.,
Yiannoutsos Constantin T.
Publication year - 2010
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4044
Subject(s) - generalization , selection (genetic algorithm) , class (philosophy) , index (typography) , point (geometry) , computer science , youden's j statistic , statistics , artificial intelligence , mathematics , pattern recognition (psychology) , geometry , mathematical analysis , receiver operating characteristic , world wide web
We study properties of the index J 3 , defined as the accuracy, or the maximum correct classification, for a given three‐class classification problem. Specifically, using J 3 one can assess the discrimination between the three distributions and obtain an optimal pair of cut‐off points c 1 < c 2 in the sense that the sum of the correct classification proportions will be maximized. It also serves as the generalization of the Youden index in three‐class problems. Parametric and non‐parametric approaches for estimation and testing are considered and methods are applied to data from an MRS study on human immunodeficiency virus (HIV) patients. Copyright © 2010 John Wiley & Sons, Ltd.