An application of Harrell's C-index to PH frailty models

Statistics in Medicine

Volumn 29, Issue 30, 2010, Pages 3160-3171

  Van Oirbeek, R ^a,b   Lesaffre, E ^a,c  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b HASSELT UNIVERSITY   (Belgium)

^c ERASMUS MEDICAL CENTER   (Netherlands)

Author keywords

Clustered data; Concordance probability; Harrell's C index; Proportional hazards frailty models; Survival

Indexed keywords

ARTICLE; BAYES THEOREM; CONFIDENCE INTERVAL; DATA ANALYSIS; MATHEMATICAL ANALYSIS; MAXIMUM LIKELIHOOD METHOD; MONTE CARLO METHOD; PREDICTION; PROBABILITY; QUANTITATIVE ANALYSIS; SIMULATION; STATISTICAL MODEL; VARIANCE;

BAYES THEOREM; COMPUTER SIMULATION; CONFIDENCE INTERVALS; DENTAL AMALGAM; FORECASTING; HUMANS; LIKELIHOOD FUNCTIONS; SURVIVAL ANALYSIS;

EID: 78650239589     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.4058     Document Type: Article

References (17)

1. Schemper M, Stare J. Explained variation in survival analysis. Statistics in Medicine 1996; 15:1999-2012. DOI: 10.1234/12345678.
2. Graf E, Schmoor C, Sauerbrei W, Schumacher M. Assesment and comparison of prognostic classification schemes for survival data. Statistics in Medicine 1999; 18:2529-2545.
3. Schemper M, Henderson R. Predictive accuracy and explained variation in Cox regression. Biometrics 2000; 56:249-255. DOI: 10.1002/sim.1486.
4. Harrell Jr FE, Califf RM, Pryor DB, Lee KL, Rosati RA. Evaluating the yield of medical tests. Journal of the American Medical Association 1982; 247(18):2543-2546.
5. Pencina M, D'Agostino RB. Overall C as a measure of discrimination in survival analysis: model specific population value and confidence interval estimation. Statistics in Medicine 2004; 23:2109-2123. DOI: 10.1002/sim.1802.
6. Yan G, Greene T. Investigating the effects of ties on measures of concordance. Statistics in Medicine; 27(21):4190-4206. DOI: 10.1002/sim.3257.
7. Antolini L, Boracchi P, Biganzoli E. A time-dependent discrimination index for survival data. Statistics in Medicine 2005; 24:3927-3944. DOI: 10.1002/sim.2427.
8. Heagerty PJ, Zheng Y. Survival model predictive accuracy and ROC curves. Biometrics 2005; 61:92-105. DOI: 10.1111/j.0006-341X.2005.030814.x.
9. Gönen M, Heller G. Concordance probability and discriminatory power in proportional hazards regression. Biometrika 2005; 92(4):965-970. DOI: 10.1093/biomet/92.4.965.
10. Duchateau L, Janssen P. The Frailty Model. Springer Science +Business Media: New York, 2008.
11. Field CA, Welsh AH. Bootstrapping clustered data. Journal of the Royal Statistical Society, Series B 2007; 3:369-390. DOI: 10.1111/j.1467-9868.2007.00593.x.
12. Rubin DB. The Bayesian bootstrap. The Annals of Statistics 1981; 9:130-134. DOI: 10.1214/aos/1176345338.
13. Efron B, Tibshirani RJ. An Introduction to the Bootstrap. Chapman & Hall/CRC: London, Boca Raton, FL, 1993.
14. Gelman A. Prior distributions for variance parameters in hierarchical models. Bayesian Analysis 2006; 1(3):515-533. DOI: 10.1.1.64.7507.
15. Therneau TM, Grambsch PM. Modeling Survival Data. Springer: New York, 2000.
16. Kreulen CM, Tobi H, Gruythuysen RJM, van Amerongen WE, Borgmeijer PJ. Replacement risk of amalgam treatment modalities: 15-year results. Journal of Dentistry 1998; 26:627-632. DOI: 10.1016/S0300-5712(98)00009-8.
17. Vaida F, Blanchard S. Conditional Akaike information for mixed-effects models. Biometrika 2005; 92(2):351-370.