| Title | Formula calculation of the area under the roc curve, with the method of rotation, 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 rotation, when a single point is available, Epitheorese Klin. Farmakol. Farmakokinet. 22(3): 423-425 (2008) | |
| Publication Date | Accepted for publication (Final Version): 10 July 2008 | |
| Full Text Language | English | |
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| Keywords | ROC, AUC, minmax approximation, receiver operating characteristic curve. | |
| Other Terms | Review article | |
| Summary | With this article, a formula calculation of the distinctive ability of a test is proposed, with the calculation of the area under the ROC curve, when a single point of sensitivity (Se) and specifity (Sp). The area under the ROC curve demonstrates the probability of the test to correctly classify a patient and a non patient of a specific illness and is positively correlated with the diagnostic quality of the test. The assumption is made that the shape of the ROC curve is concave. The area is calculated using the formula
A=[Se2+Sp2-Se-Sp+Se.Sp.((Se+Sp).(Se+Sp-2)+6)] /(6Se.Sp) which renders a value larger than the trapezoid rule and smaller than the minimax approximation. |
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| References | 1. Sox H.C.,JR, Blatt M.A., Higgins M.C., Marton K.: Medical decision making. Butterworth-Heinemann, London, 1988
2. Wueff H.R.: Rational Diagnosis and Treatment. An introduction to clinical decision making. 2nd ed. Blackwell Scientific Publ., London, 1981 3. Hunink M.G., Glasziou P.P., Siegel J., Weeks J., Pliskin J., Elstein A., et al.: Decision Making in Health and Medicine. Pp. 177-213, Cambridge University Press, Cambridge, 2000 4. Grenier B.: Evaluation de la décision médicale. Introduction à l’analyse médicoéconomique. Pp. 77-92, Masson, Paris, 1990 5. Cantor S.B., Kattan M.W.: Determining the area under the ROC curve for dinary diagnostic test. Med. Decis. Making 20: 468-470 (2000) 6. van den Hout W.B.: The area under an ROC curve with limited information. Med. Decis. Making 23: 160-166 (2003) |
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| Relative Papers |
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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