Accuracy and cut-off point selection in three-class classification problems using a generalization of the Youden index

Christos T. Nakas, Todd A. Alonzo, Constantin T. Yiannoutsos

Research output: Contribution to journalArticle

51 Scopus citations


We study properties of the index J3, defined as the accuracy, or the maximum correct classification, for a given three-class classification problem. Specifically, using J3 one can assess the discrimination between the three distributions and obtain an optimal pair of cut-off points c1<c2 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.

Original languageEnglish (US)
Pages (from-to)2946-2955
Number of pages10
JournalStatistics in Medicine
Issue number28
StatePublished - Dec 1 2010



  • Accuracy
  • Cut-off selection
  • Maximally selected statistics
  • Random walks
  • ROC analysis
  • True-class rate
  • Youden index

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability

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