Testing the equality of diagnostic effectiveness of one measure with respect to k different features

In several cases the same measurement is used as a marker for two or more population features, and it is useful to test whether this measurement has the same diagnostic effectiveness with respect to different features. In this paper we use the area under receiver operating characteristic curve as index for the discriminatory power among continuous variables and population features (eventuality, two or more diseases), and we propose a test to contrast the equality of the diagnostic effectiveness of this measurement.