Semiparametric inference for ROC curves with censoring

Scandinavian Journal of Statistics

Volumn 35, Issue 2, 2008, Pages 212-227

  Liang, Hua ^a,c   Zhou, Yong ^b,d  

^a UNIVERSITY OF ROCHESTER   (United States)

^b SHANGHAI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^c UNIVERSITY OF ROCHESTER MEDICAL CENTER   (United States)

^d CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Confidence interval; Coverage; Empirical likelihood function; Empirical likelihood ratio; Estimating equation; Kaplan Meier estimation

Indexed keywords

EID: 43749105385     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2007.00580.x     Document Type: Article

References (20)

1. Chen, S. X. & Hall, P. (1993). Smoothed empirical likelihood confidence intervals for quantiles. Ann. Statist. 21, 1166–1181.
2. Claeskens, G., Jing, B. Y., Peng, L. & Zhou, W. (2003). An empirical likelihood confidence interval for an ROC curve. Can. J. Statist. 31, 173–190.
3. Copelan, E. A., Biggs, J. C., Thompson, J. M., Crilley, P., Szer, J., Klein, J. P., Kapoor, N., Avalos, B. R., Cunningham, I. & Atkinson, K. (1991). Treatment for acute myelocytic leukemia with allogeneic bone marrow transplantation following preparation with BuCy2. Blood 78, 838–843.
4. Gill, R. D. (1980). Censoring and stochastic integrals. Mathematical Centre Tracts, Vol. 124. Mathematisch Centrum, Amsterdam.
5. Griner, P. F., Mayewski, R. J., Mushlin, A. I. & Greenland, P. (1981). Selection and interpretation of diagnostic tests and procedures. Ann. Intern. Med. 94, 555–600.
6. Linnet, K. (1987). Comparison of quantitative diagnostic tests: type I error, power, and sample size. Statist. Med. 6, 147–158.
7. Lloyd, C. J. (1998). Using smoothed received operating characteristic curves to summarize and compare diagnostic systems. J. Amer. Statist. Assoc. 93, 1356–1364.
8. Owen, A. B. (2001). Empirical likelihood. Chapman & Hall/CRC, London.
9. Platt, R. W., Hanley, J. A. & Yang, H. (2000). Bootstrap confidence intervals for the sensitivity of a quantitative diagnostic test. Statist. Med. 19, 313–322.
10. Qin, J. (1994). Semi‐empirical likelihood ratio confidence intervals for the difference of two sample means. Ann. Statist. 46, 117–126.
11. Qin, J. (1999). Empirical likelihood ratio based confidence intervals for mixture proportions. Ann. Statist. 27, 1368–1384.
12. Qin, J. & Lawless, J. (1994). Empirical likelihood and general estimating equations. Ann. Statist. 22, 300–325.
13. Ren, H. B., Zhou, X. H. & Liang, H. (2004). A flexible method for estimating ROC curve. J. Appl. Statist. 31, 773–784.
14. Robins, J. & Rotnitzky, A. (1992). Recovery of information and adjustment for dependent censoring using surrogate markers. In AIDS Epidemiology–Methodological Issues (eds N. Jewell, K. Dietz & V. Farewell), 297–331. Birkhäuser, Boston.
15. Stute, W. (1995). The central limit theorem under random censorship. Ann. Statist. 23, 422–439.
16. Van Der Vaart, A. W. & Wellner, J. A. (1996). Weak convergence and empirical processes with application to statistics. Springer‐Verlag, New York.
17. Zhou, W. & Jing, B. Y. (2003). Smoothed empirical likelihood confidence intervals for the difference of quantiles. Statist. Sin. 13, 83–95.
18. Zhou, Y. & Liang, H. (2005). Empirical‐likelihood‐based semiparametric inference for the treatment effect in the two‐sample problem with censoring. Biometrika 92, 271–282.
19. Zhou, X. H. & Qin, G. S. (2005). Improved confidence intervals for the sensitivity at a fixed level of specificity of a continuous‐scale diagnostic test. Statist. Med. 24, 465–477.
20. Zou, K. H., Hall, W. J. & Shapiro, D. E. (1997). Smooth non‐parametric receiver operating characteristic (ROC) curves for continuous diagnostic tests. Statist. Med. 16, 2143–2156.