Title | Formula calculation of the area under the roc curve, with the method of extension, when a single point is available | |
Author | Theofanis Katostaras
Faculty of Nursing, University of Athens, Athens, Greece |
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Citation | Katostaras, T.: Formula calculation of the area under the roc curve, with the method of extension, when a single point is available, Epitheorese Klin. Farmakol. Farmakokinet. 22(3): 419-422 (2008) | |
Publication Date | Accepted for publication (Final Version): 10 July 2008 | |
Full Text Language | English | |
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Keywords | ROC, AUC, receiver operating characteristic curve. | |
Other Terms | Review article | |
Summary | In this paper is proposed the method of extension for the calculation of the area under the concave ROC curve, and determination of corresponding function, if only one pair of specificity (Sp0) and sensitivity (Se0) is available. The method of extension is algebraic and is supported by the assumption that the ROC curve constitutes the graphic representation of the function which is continuous, without local extremes and has the form TP=f(FP)= κ0 + κ1FP +κ2FP2, [0,1]. The area is calculated by the formula:
AUC=(7Sp0+7Se0-2Sp0Se0)/12 |
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Online ISSN 1011-6575
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Articles published in this Journal are Indexed or Abstracted in: • Chemical Abstracts • Elsevier’s Bibliographic Databases: Scopus, EMBASE, EMBiology, Elsevier BIOBASE SCImago Journal and Country Rank Factor
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