Confidence intervals and bands for the binormal ROC curve revisited

Journal of Applied Statistics

Volumn 39, Issue 1, 2012, Pages 67-79

  Demidenko, Eugene ^a  

^a DARTMOUTH MEDICAL SCHOOL   (United States)

Author keywords

area under ROC curve; breast cancer; confidence bans; confidence interval; ROC curve; time to vomiting; Working Hotelling

Indexed keywords

EID: 84858264580     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2011.578616     Document Type: Article

References (36)

1. Anno, G. H., Baum, S. J., Withers, H. R. and Young, R. W. 1989. Symptomatology of acute radiation effects in humans after exposure to doses of 0.5-30 Gy. Health Phys., 55: 821-838.
2. Bamber, D. 1975. The area above the ordinal dominance graph and the area below the receiver operating characteristic graph. J. Math. Psychol., 12: 387-415.
3. Begg, C. B. 1991. Advances in statistical methodology for diagnostic medicine in the 1980s. Stat. Med., 10: 1887-1895.
4. Bickel, P. J. and Doksum, K. A. 2001. Mathematical Statistics, 2nd ed, Upper Saddle River, NJ: Prentice Hall.
5. Cai, T. and Moskowitz, C. S. 2004. Semi-parametric estimation of the binormal ROC curve for a continuous diagnostic test. Biostatistics, 5: 573-586.
6. Coffin, M. and Sukhatme, S. 1997. Receiver operating characteristic studies and measurement errors. Biometrics, 53: 823-837.
7. Demidenko, E., Hartov, A. and Paulsen, K. 2004. Statistical estimation of resistance/conductance by electrical impedance tomography measurements. IEEE Trans. Med. Imaging, 23: 829-838.
8. Demidenko, E., Williams, B. B. and Swartz, H. M. 2009. Radiation dose prediction using data on time to emesis in the case of nuclear terrorism. Radiat. Res., 171: 310-319.
9. Flynn, D. F. and Goans, R. E. 2006. Nuclear terrorism: Triage and medical management of radiation and combined-injury casualties. Surg. Clin. N. Am., 86: 601-636.
10. Forsyth, A. R. 1959. Theory of Differential Equations, New York: Dover.
11. Goans, R. E. and Waselenko, J. K. 2005. Medical management of radiological causalities. Health Phys., 89: 505-512.
12. Hall, P., Hyndman, R. J. and Fan, Y. 2004. Nonparametric confidence intervals for receiver operating characteristic curves. Biometrika, 91: 743-750.
13. Halter, R. J., Zhou, T., Meaney, P. M., Hartov, A., Barth, R. J., Rosenkranz, K. M., Wells, W. A., Kogel, C. A., Borsic, A., Rizzo, E. J. and Paulsen, K. D. 2009. The correlation of in vivo and ex vivo tissue dielectric properties to validate electromagnetic breast imaging: Initial clinical experience. Physiol. Meas., 30: S121-S136.
14. Hanley, J. A. 1988. The robustness of the "binormal" assumptions used in fitting ROC curves. Med. Decis. Making, 8: 197-203.
15. Hanley, J. A. 1996. The use of the "binormal" model for parametric ROC analysis of quantitative diagnostic tests. Stat. Med., 15: 1575-1585.
16. Hanley, J. A. 1998. "Receiver operating characteristic (ROC) curves". In Encyclopedia of Biostatistics, Edited by: Armitage, P. and Colton, T. New York: Wiley.
17. Hanley, J. A. and McNail, B. J. 1982. The meaning and use of area under an ROC curve. Radiology, 148: 839-843.
18. Horváth, L., Horváth, Z. and Zhou, W. 2008. Confidence bands for ROC curves. J. Statist. Plann. Inference, 138: 1894-1904.
19. Hsieh, F. and Turnbull, B. W. 1996. Nonparametric and semiparametric estimation of the receiver operating characteristic curve. Ann. Stat., 24: 25-40.
20. Jossinet, J. and Schmitt, M. 1999. A review of parameters for the bioelectrical characterization of breast tissue. Ann. NY Acad. Sci., 873: 30-41.
21. Krzanowski, W. J. and Hand, D. J. 2009. ROC Curves for Continuous Data, Boca Raton, FL: Chapman and Hall/CRC Press.
22. Lachenbruch, P. A. 1975. Discriminant Analysis, London: Hafner Press.
23. Ma, G. Q. and Hall, W. J. 1993. Confidence bands for receiver operating characteristic curves. Med. Decis. Making, 13: 191-197.
24. Metz, C. E. 1978. Basic principles of ROC analysis. Semin. Nucl. Med., 8: 283-298.
25. Ng, E. Y.K., Sree, S. V., Ng, K. H. and Kaw, G. 2008. The use of tissue electrical characteristics for breast cancer detection: A perspective review. Technol. Cancer Res. Treat., 7: 295-308.
26. Obuchowski, N. A. 2005. Fundamentals of clinical research for radiologists. Am. J. Roentgenol., 184: 364-372.
27. Parker, D. D. and Parker, J. C. 2007. Estimating radiation dose from time to emesis and lymphocyte depletion. Health Phys., 93: 701-704.
28. Pepe, M. S. 2003. The Statistical Evaluation of Medical Tests for Classification and Prediction, Oxford: Oxford University Press.
29. R Development Core Team. R: A Language and Environment for Statistical Computing, Vienna, Austria: R Foundation for Statistical Computing. ISBN 3-900051-07-0 available at URL http://www.R-project.org.
30. Rao, C. R. 1973. Linear Statistical Inference and Its Applications, 2nd ed, New York: Wiley.
31. Soni, N. K., Hartov, A., Kogel, C., Poplack, S. P. and Paulsen, K. D. 2004. Multi-frequency electrical impedance tomography of the breast: New clinical results. Physiol. Meas., 25: 301-314.
32. Swets, J. A. 1986. Form of empirical ROCs in discrimination and diagnostic tasks: Implications for theory and measurement of performance. Psychol. Bull., 99: 181-198.
33. Tosteson, T. D., Buonaccorsi, J. P., Demidenko, E. and Wells, W. A. 2005. Measurement error and confidence intervals for ROC curves. Biom. J., 47: 409-416.
34. Working, H. and Hotelling, H. 1929. Applications of the theory of errors to the interpretation of trends. J. Am. Statist. Soc., 24: 73-85.
35. Xiong, C., Belle, G. van, Miller, J. P. and Morris, J. C. 2006. Measuring and estimating diagnostic accuracy when there are three ordinal diagnostic groups. Stat. Med., 25: 1251-1273.
36. Zhou, X.-H., Obuchowski, N. A. and McClish, D. K. 2002. Statistical Methods in Diagnostic Medicine, New York: Wiley.