Performance analysis of 3-class classifiers: Properties of the 3D ROC surface and the normalized volume under the surface

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 6146, Issue , 2006, Pages

  Sahiner, Berkman ^a   Chan, Heang Ping ^a   Hadjiiski, Lubomir M ^a  

^a UNIVERSITY OF MICHIGAN MEDICAL SCHOOL   (United States)

Author keywords

3 class classification; Computer aided diagnosis; ROC analysis

Indexed keywords

FALSE-POSITIVE FRACTIONS (FPF); FIGURE OF MERIT (FOM); NORMALIZED VOLUME UNDER THE SURFACE (NVUS); SIX-DIMENSIONAL (6D) ROC SPACE;

CLASSIFICATION (OF INFORMATION); COMPUTER AIDED DIAGNOSIS; CONSTRAINT THEORY; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION;

MEDICAL IMAGING;

EID: 33745175208     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.654581     Document Type: Conference Paper

References (11)

1. B. K. Scurfield, "Generalization of the theory of signal detectability to n-event m-dimensional forced-choice tasks," Journal of Mathematical Psychology 42, 5-31, 1998.
2. D. Mossman, "Three-way ROCs," Medical Decison Making 19, 78-89, 1999.
3. H. P. Chan, B. Sahiner, L. M. Hadjiiski, N. Petrick, and C. Zhou, "Design of three-class classifiers in computer-aided diagnosis: Monte Carlo simulation study," Proc SPIE 5032, 567-578, 2003.
4. C. T. Nakas and C. T. Yiannoutsos, "Ordered multiple-class ROC analysis with continuous measurements," Statistics in Medicine 23, 3437-3449, 2004.
5. D. C. Edwards, C. E. Metz, and M. A. Kupinski, "Ideal observers and optimal ROC hypersurfaces in N-class classification," IEEE Trans Med Imag 23, 891-895, 2004.
6. D. C. Edwards and C. E. Metz, "Restrictions on the three-class ideal observer's decision boundary lines " IEEE Transactions on Medical Imaging 24, 1566-1573 2005.
7. H. L. Van Trees, Detection, estimation, and modulation theory, John Wiley and Sons, New York, 1968.
8. D. D. Dorfman and E. Alf Jr, "Maximum likelihood estimation of parameters of signal detection theory and determination of confidence intervals-rating method data," Journal of Mathematical Psychology 6, 487-496, 1969.
9. C. E. Metz and X. Pan, ""Proper" binormal ROC curves: Theory and maximum-likelihood estimation," Journal of Mathematical Psychology 43, 1-33, 1999.
10. J. N. Lyness, "Notes on the adaptive Simpson quadrature routine," Journal of the Association for Computing Machinery 16, 483-495, 1969.
11. W. M. McKeeman, "Algorithm 145: Adaptive numerical integration by Simpson's rule," Communications of the Association for Computing Machinery 5, 604, 1962.