%0 Journal Article %1 Hanley:1982:Radiology:7063747 %A Hanley, J A %A McNeil, B J %D 1982 %J Radiology %K evaluation %N 1 %P 29-36 %R 10.1148/radiology.143.1.7063747 %T The meaning and use of the area under a receiver operating characteristic (ROC) curve %U http://www.ncbi.nlm.nih.gov/pubmed/7063747 %V 143 %X A representation and interpretation of the area under a receiver operating characteristic (ROC) curve obtained by the "rating" method, or by mathematical predictions based on patient characteristics, is presented. It is shown that in such a setting the area represents the probability that a randomly chosen diseased subject is (correctly) rated or ranked with greater suspicion than a randomly chosen non-diseased subject. Moreover, this probability of a correct ranking is the same quantity that is estimated by the already well-studied nonparametric Wilcoxon statistic. These two relationships are exploited to (a) provide rapid closed-form expressions for the approximate magnitude of the sampling variability, i.e., standard error that one uses to accompany the area under a smoothed ROC curve, (b) guide in determining the size of the sample required to provide a sufficiently reliable estimate of this area, and (c) determine how large sample sizes should be to ensure that one can statistically detect differences in the accuracy of diagnostic techniques.

@article{Hanley:1982:Radiology:7063747, abstract = {A representation and interpretation of the area under a receiver operating characteristic (ROC) curve obtained by the "rating" method, or by mathematical predictions based on patient characteristics, is presented. It is shown that in such a setting the area represents the probability that a randomly chosen diseased subject is (correctly) rated or ranked with greater suspicion than a randomly chosen non-diseased subject. Moreover, this probability of a correct ranking is the same quantity that is estimated by the already well-studied nonparametric Wilcoxon statistic. These two relationships are exploited to (a) provide rapid closed-form expressions for the approximate magnitude of the sampling variability, i.e., standard error that one uses to accompany the area under a smoothed ROC curve, (b) guide in determining the size of the sample required to provide a sufficiently reliable estimate of this area, and (c) determine how large sample sizes should be to ensure that one can statistically detect differences in the accuracy of diagnostic techniques.}, added-at = {2018-09-15T15:10:10.000+0200}, author = {Hanley, J A and McNeil, B J}, biburl = {https://www.bibsonomy.org/bibtex/23b740f9b63ffd826a7b35487a58dcf0d/bsc}, description = {The meaning and use of the area under a receiver operating characte... - PubMed - NCBI}, doi = {10.1148/radiology.143.1.7063747}, interhash = {0df1106daa31d01c1051ef3f106cd52c}, intrahash = {3b740f9b63ffd826a7b35487a58dcf0d}, journal = {Radiology}, keywords = {evaluation}, month = apr, number = 1, pages = {29-36}, pmid = {7063747}, timestamp = {2018-09-15T15:10:10.000+0200}, title = {The meaning and use of the area under a receiver operating characteristic (ROC) curve}, url = {http://www.ncbi.nlm.nih.gov/pubmed/7063747}, volume = 143, year = 1982 }