Τόμος 21 (2007) – Τεύχος 2 – Συμπλήρωμα 1 – Άρθρο 10 – Επιθεώρηση Κλινικής Φαρμακολογίας και Φαρμακοκινητικής-Διεθνής Έκδοση – Volume 21 (2007) – Issue 2 – Supplement 1 – Article 10 – Epitheorese Klinikes Farmakologias και Farmakokinetikes-International Edition

Title Geometric representation of the function of an equivalent AUC of a ROC CURVE with a single point available
Author Theofanis Katostaras

School of Nursing, University of Athens, Athens, Greece

Citation Katostaras, T.: Geometric representation of the function of an equivalent AUC of a ROC CURVE with a single point available, Epitheorese Klin. Farmakol. Farmakokinet. 21(2.1): 221-224 (2007)
Publication Date Accepted for publication (Final version): June 1, 2007
Full Text Language English
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Keywords ROG function, minimax approximation, receiver operating characteristic function.
Other Terms review article
Summary The article presents a geometric representation of the function of an equivalent concave receiver operating characteristic (ROG) curve, when a single point is available. It constitutes a geometric approach of the function that corresponds to an equivalent area that the receiver operating characteristic ROG curve includes, which has been calculated using the mini-max approximation. The function is illustrated with a polygon with five or six sides, depending on the three cases of calculation of the area that is included under a ROG curve, according to the mini-max approximation.
References 1. Cantor S.B., Kattan M.W.: Determining the area under the ROC curve for a binary diagnostic test. Med. Desic. Making 20: 468-470 (2000)

2. Van den Hout W.: The area under an ROC curve with limited information. Med. Decis. Making 23: 160-166 (2003)

3. Park S.H., Goo J.M., Jo C.H.: Receiver operating characteristic (ROC) curve: practical review for radiologists. Korean J. Radiol. 5: 11-18 (2004)

4. Grenier B.: Les courbes ROC. In: Evaluation de la Decision Medicale. Introduction a l’Analyse Medico-economique (Grenier B, ed.). Pp. 77-92, Masson, Paris, 1999

5. Cantor S.B., Kattan M.W.: Response to: Area under the ROC curve for binary diagnostic test. Med. Decis. Making 21: 422 (2001)

6. Desbiens N.A.: Area under the ROC curve for the binary diagnostic test.  Med. Decis. Making 21: 421 (2001)

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