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 |
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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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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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