Wd. Smith et al., A MEASURE OF ASSOCIATION FOR ASSESSING PREDICTION ACCURACY THAT IS A GENERALIZATION OF NONPARAMETRIC ROC AREA, Statistics in medicine, 15(11), 1996, pp. 1199-1215
There is a need for a measure of prediction accuracy that generalizes
non-parametric receiver operating characteristic (ROC) area to polytom
ous ordinal patient state. We describe such a measure, prediction prob
ability P-K, derived from Kim's measure of association. We show that t
he value of P-K equals the value of non-parametric ROC area for dichot
omous patient state and is a meaningful generalization of nonparametri
c ROC area for polytomous state.