Nonparametric estimation and hypothesis testing on the partial area under receiver operating characteristic curves

Communications in Statistics - Theory and Methods

Volumn 34, Issue 9-10, 2005, Pages 2077-2088

  Liu, Aiyi ^a   Schisterman, Enrique F ^a   Chengqing, W U ^a,b  

^a EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Accuracy of diagnostic tests; Biomarkers; Mann Whitney statistics; Sensitivity; Specificity

Indexed keywords

BIOMARKERS; DISEASE CONTROL; STATISTICS;

ACCURACY OF DIAGNOSTIC TESTS; MANN-WHITNEY STATISTICS; SENSITIVITY; SPECIFICITY;

CURVE FITTING;

EID: 25644460384     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610920500203786     Document Type: Article

References (21)

1. Bamber, D. (1975). The area above the ordinal dominance graph and the area below the receiver operating characteristics graph. J. Math. Psychol. 12:387-415.
2. Budoff, M. J., Diamond, G. A., Raggi, P., Arad, Y., Guerci, A. D., Callister, T. Q., Berman, D. S. (2002). Continuous probabilistic prediction of angiographically significant coronary artery disease using electron beam tomography. Circulation 105:1791-1796.
3. DeLong, E. R., DeLong, D. M., Clarke-Pearson, D. L. (1988). Comparing the areas under two or more correlated receiver operating characteristic curves: a nonparametric approach. Biometrics 44:837-845.
4. Hanley, J. A. (1996). The use of the 'binormal' model for parametric ROC analysis of quantitative diagnostic tests. Statist. Med. 15:1575-1585.
5. Hanley, J. A., McNeil, B. J. (1982). The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology 143:29-36.
6. Hanley, J. A., McNeil, B. J. (1983). A method of comparing the areas under receiver operating characteristic curves derived from the same cases. Radiology 148:839-843.
7. Jennison, C., Turnbull, B. W. (2000). Group Sequential Methods With Applications to Clinical Trials. New York: Chapman&Hall/CRC.
8. Lan, K. K. G., Zucker, D. M. (1993). Sequential monitoring of clinical trials: The role of information and Brownian motion. Statist. Med. 12:753-765.
9. Mazumdar, M., Liu, A. (2003). Group sequential design for comparative diagnostic accuracy studies. Statist. Med. 22:727-739.
10. Metz, C. E., Pan, X. (1999). 'Proper' binormal ROC curves: theory and maximum-likelihood estimation. J. Math. Psychol. 43:1-33.
11. Metz, C. E., Herman, B. A., Roe, C. A. (1996). Statistical comparison of two ROC-curve estimates obtained from partially-paired datasets. Med. Decision Making 18:110-121.
12. Metz, C. E., Herman, B. A., Shen, J. H. (1998). Maximum likelihood estimation of receiver operating characteristic (ROC) curves from continuously-distributed data. Statist. Med. 17:1033-1053.
13. Obuchowski, N. A., McClish, D. K. (1997). Sample size determination for diagnostic accuracy studies involving binormal ROC curve parameters. Statist. Med. 16:1529-1542.
14. Pan, X., Metz, C. E. (1997). The 'proper' binormal model: parametric receiver operating characteristic curve estimation with degenerate data. Academic Radiology 4:380-389.
15. Thompson, M. L., Zucchini, W. (1989). On the statistical analysis of ROC curves. Statist. Med. 8:1277-1290.
16. van der Vaart, A. W. (1998). Asymptotic Statistics. New York: Cambridge University Press.
17. Whitehead, J. (1997). The Design and Analysis of Sequential Clinical Trials. 2nd ed. New York: Wiley.
18. Wieand, S., Gail, M. H., James, B. R., James, K. L. (1989). A family of non-parametric statistics for comparing diagnostic markers with paired or unpaired data. Biometrika 75:585-592.
19. Zhang, D. D., Zhou, X. H., Freeman, D. H., Freeman, J. L. (2002). A non-parametric method for the comparison of partial areas under ROC curves and its application to large health care data sets. Statist. Med. 21:701-715.
20. Zou, K. H., Hall, W. J. (2002). Semiparametric and parametric transformation models for comparing diagnostic markers with paired design. J. Appl. Statist. 29:803-816.
21. Zou, K. H., Hall, W. J., Shapiro, D. E. (1997). Smooth nonparametric receiver operating characteristic curves for continuous diagnostic tests. Statist. Med. 16:2143-2156.