Laboratory of Biometry, University of Thessaly, Fytokou Str, N. Ionia, 384 46 Magnesia, Greece.
Stat Med. 2010 Dec 10;29(28):2946-55. doi: 10.1002/sim.4044.
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.
我们研究了指数 J(3)的性质，该指数定义为给定的三分类分类问题的准确性或最大正确分类。具体来说，使用 J(3)，人们可以评估这三种分布之间的区分程度，并在最优的一对截止点 c(1)<c(2) 中获得最佳分类比例，从而使正确分类比例的总和最大化。它也是三分类问题中 Youden 指数的推广。我们考虑了用于估计和检验的参数和非参数方法，并将这些方法应用于人类免疫缺陷病毒 (HIV) 患者 MRS 研究的数据。
