Nonparametric estimation of the concordance correlation coefficient under univariate censoring

Biometrics

Volumn 63, Issue 1, 2007, Pages 164-172

  Guo, Ying ^a   Manatunga, Amita K ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

Agreement; Concordance correlation coefficient; Multivariate survival times; Time dependent agreement measure; Univariate censoring

Indexed keywords

DISEASES;

AGREEMENT COEFFICIENT; CONCORDANCE CORRELATION COEFFICIENT; CORRELATION COEFFICIENT; MULTIVARIATE SURVIVAL TIME; NON-PARAMETRIC ESTIMATIONS; SURVIVAL TIME; TIME DEPENDENT; TIME-DEPENDENT AGREEMENT MEASURE; UNIVARIATE; UNIVARIATE CENSORING;

BIOMETRICS;

BOOTSTRAPPING; ESTIMATION METHOD; SURVIVAL;

ARTICLE; BIVARIATE ANALYSIS; BOOTSTRAPPING; CORRELATION COEFFICIENT; HUMAN; NONPARAMETRIC TEST; PERFORMANCE; PROSTATE CANCER; SIMULATION; SURVIVAL; SURVIVAL TIME; TIME; UNIVARIATE ANALYSIS;

EID: 34247180104     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2006.00664.x     Document Type: Article

References (27)

1. American Society for Therapeutic Radiology and Oncology Consensus Panel. (1997). Consensus statement: Guidelines for PSA following radiation therapy. International Journal of Radiation Oncology, Biology, Physics 37, 1035-1041.
2. Anderson, J. E., Louis, T. A., and Holm, N. V. (1992). Time-dependent association measures for bivariate survival distributions. Journal of the American Statistical Association 87, 641-650.
3. Atkinson, G. and Nevill, A. (1997). Comment on the use of concordance correlation to assess the agreement between two variables. Biometrics 53, 775-777.
4. Barnhart, H. X. and Williamson, J. M. (2001). Modeling concordance correlation via GEE to evaluate reproducibility. Biometrics 57, 931-940.
5. Barnhart, H. X., Haber, M., and Song, J. (2002). Overall concordance correlation coefficient for evaluating agreement among multiple observers. Biometrics 58, 1120-1127.
6. Betensky, R. and Finkelstein, D. (1999). A non-parametric maximum likelihood estimator for bivariate interval censored data. Statistics in Medicine 18, 3089-3100.
7. Clayton, D. G. (1978). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65, 141-151.
8. Critz, F. A., Tarlton, R. S., and Holladay, D. A. (1995). Prostate specific antigen-monitored combination radiotherapy for patients with prostate cancer. Cancer 75, 2383-2391.
9. Critz, F. A., Levinson, K., Williams, W. H., and Holladay, D. A. (1996). Prostate-specific antigen nadir: The optimum level after irradiation for prostate cancer. Journal of Clinical Oncology 14, 2893-2900.
10. Dabrowska, D. M. (1988). Kaplan-Meier estimate on the plane. Annals of Statistics 16, 1475-1489.
11. Fan, J., Hsu, L., and Prentice, R. L. (2000). Dependence estimation over a finite bivariate failure time region. Lifetime Data Analysis 6, 343-355.
12. Gentleman, R. and Vandal, A. C. (2001). Computational algorithms for censored-data problems using intersection graphs. Journal of Computational and Graphical Statistics 10, 403-421.
13. Gill, R. D., van der Laan, M. J., and Wellner, J. A. (1995). Insufficient estimators of the bivariate survival function for three models. Annales de l'Institut Henri Poincaré 31, 545-597.
14. Guo, Y. and Manatunga, A. K. (2005). Modeling the agreement of discrete bivariate survival times using kappa coefficient. Lifetime Data Analysis 11, 309-332.
15. King, T. S. and Chinchilli, V. M. (2001a). A generalized concordance correlation coefficient for continuous and categorical data. Statistics in Medicine 20, 2131-2147.
16. King, T. S. and Chinchilli, V. M. (2001b). Robust estimators of the concordance correlation coefficient. Journal of Biopharmaceutical Statistics 20, 2131-2147.
17. Landis, J. R. and Koch, G. G. (1977). The measurement of observer agreement for categorical data. Biometrics 33, 159-174.
18. Laurent, R. T. S. (1998). Evaluating agreement with a gold standard in method comparison studies. Biometrics 54, 537-545.
19. Lin, D. Y. and Ying, Z. (1993). A sample nonparametric estimator of the bivariate survival function under univariate censoring. Biometrika 80, 573-581.
20. Lin, L. I. (1989). A concordance correlation coefficient to evaluate reproducibility. Biometrics 45, 255-268.
21. Lin, L. I. and Chinchilli, V. M. (1997). Rejoinder to the letter to the editor from Atkinson and Nevill. Biometrics 53, 777-778.
22. Liu, X., Du, Y., Teresi, J., and Hasin, D. S. (2005). Concordance correlation in the measurements of time to event. Statistics in Medicine 24, 1409-1420.
23. Oakes, D. (1989). Bivariate survival models induced by frailties. Journal of the American Statistical Association 84, 487-493.
24. Prentice, R. L. and Cai, J. (1992). Covariance and survival function estimation using censored multivariate failure time data. Biometrika 79, 495-512.
25. Prentice, R. L., Zoe Moodie, F., and Wu, J. (2004). Hazardbased nonparametric survival function estimation. Journal of the Royal Statistical Society, Series B 66, 305-319.
26. Tsai, W. Y. and Crowley, J. (1998). A note on nonparametric estimators of the bivariate survival function under univariate censoring. Biometrika 85, 573-580.
27. van der Vaart, A. W. and Wellner, J. A. (1996). Weak Convergence and Empirical Processes. New York: Springer-Verlag.