Estimation of the area under ROC curve with censored data

Journal of Statistical Planning and Inference

Volumn 139, Issue 3, 2009, Pages 1033-1044

  Wang, Qihua ^a,b   Yao, Lili ^a,c   Lai, Peng ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Asymptotic normality; Counting process and martingale theory; ROC curve

Indexed keywords

EID: 56949088003     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.06.006     Document Type: Article

References (18)

1. Bamber D.C. The area above the ordinal dominance graph and the area below the receiver operating characteristic curve graph. J. Math. Psychol. 12 (1975) 387-412
2. Breslow N.E., Edler L., and Breger J. A two-sample censored data rank test for acceleration. Biometrics 40 (1984) 1049-1062
3. Fleming T.P., and Harrington D.P. Counting Processes and Survival Analysis (1991), Springer, New York
4. Fleming T.P., O'Fallon J.R., O'Brien P.D., and Harrington D.P. Modified Kolmogorov-Smirnov test procedures with application to arbitrarily right-censored data. Biometrics 36 (1980) 607-625
5. Griner P.F., Mayewski R.J., Mushlin A.I., et al. Selection and interpretation of diagnostic tests and procedures. Ann. Internat. Med. 94 (1981) 557-600
6. Heagerty P.J., Lumley T., and Pepe M.S. Time-dependent ROC curves for censored survival data and a diagnostic marker. Biometrics 56 (2000) 337-344
7. Kaplan E., and Meier R. Nonparametric estimation from incomplete observations. J. Statist. Assoc. 53 (1958) 457-481
8. Major P., and Rejto L. Strong embedding of the estimator of the distribution function under random censorship. Ann. Statist. 16 (1988) 1113-1132
9. Munk A. Equivalence and interval testing for Lehmann's alternative. J. Amer. Assoc. 91 (1996) 1187-1195
10. Qin Y.S. Semiparametric likelihood ratio confidence intervals for various differences of two populations. Statist. Probab. Lett. 33 (1997) 135-143
11. Qin G.S., and Zhou X.-H. Empirical likelihood inference for the area under the ROC curve. Biometrics 62 (2006) 613-622
12. Richardson D.S. Measures of skill and value of ensemble prediction systems, their interrelationship and the effect of ensemble size. Quart. J. Roy. Meteor. Soc. 127 (2001) 2473-2489
13. Shorack G.R., and Wellner J.A. Empirical Processes with Applications to Statistics (1986), Wiley, New York
14. Wang Q.H. Some large sample results for a class of functionals of Kaplan-Meier estimator. Acta Math. Sinica 14 (1998) 191-200
15. Wellek S. A new approach to equivalence assessment in standard comparative bioavailability trials by means of the Mann-Whitney statistics. Biometrics J. 38 (1996) 695-710
16. Wolfe D.A., and Hogg R.V. On constructing statistics and reporting data. Amer. Statist. 25 (1971) 27-30
17. Zhou Y., and Liang H. Empirical likelihood-based semiparametric inference of the treatment effect in the two-sample problem with censoring. Biometrika 92 (2005) 271-282
18. Zweig M.H., and Campbell G. Receiver operating characteristic (ROC) curves plots: a fundamental evaluation toll in clinical medicine. Chinese Chem. 39 (1993) 561-577