Bootstrap-based methods for estimating standard errors in Cox's regression analyses of clustered event times

Statistics in Medicine

Volumn 29, Issue 7-8, 2010, Pages 915-923

  Xiao, Yongling ^a,b   Abrahamowicz, Michal ^a,b  

^a MCGILL UNIVERSITY   (Canada)

^b RESEARCH INSTITUTE OF THE MCGILL UNIVERSITY HEALTH CENTRE   (Canada)

Author keywords

Bootstrap; Correlated data; Frailty; Robust variance estimation; Simulations; Survival analysis

Indexed keywords

ARTICLE; BOOTSTRAPPING; CLUSTER ANALYSIS; COMPUTER PROGRAM; HUMAN; INTERMETHOD COMPARISON; PROPORTIONAL HAZARDS MODEL; REGRESSION ANALYSIS; RHEUMATOID ARTHRITIS; SIMULATION;

ADULT; ARTHRITIS, RHEUMATOID; BIOSTATISTICS; CLUSTER ANALYSIS; COMPUTER SIMULATION; CONFIDENCE INTERVALS; FEMALE; HUMANS; MALE; PROPORTIONAL HAZARDS MODELS; QUEBEC; REGRESSION ANALYSIS; SOFTWARE;

EID: 77949413168     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3807     Document Type: Article

References (25)

1. Hougaard P. Analysis of Multivariate Survival Data. Springer: New York, 2000.
2. Hougaard P. Survival models for heterogeneous populations derived from stable distributions. Biometrika 1986; 73:387-396.
3. Wei LJ, Lin DY, Weissfeld L. Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. Journal of the American Statistical Association 1989; 84:1065-1073.
4. Lin DY, Wei LJ. The robust inference for the Cox proportional hazards model. Journal of the American Statistical Association 1989; 84:1074-1078.
5. Therneau TM, Grambsch PM. Modeling Survival Data: Extending the Cox Model, Chapter 9. Springer: New York, 2000; 231-260.
6. Efron B, Tsibirani RJ. An Introduction to the Bootstrap. Chapman & Hall: New York, 1993.
7. Abrahamowicz M, MacKenzie T. Joint estimation of time-dependent and non-linear effects of continuous covariates on survival. Statistics in Medicine 2007; 26:392-408.
8. Remontet L, Bossard N, Belot A, Estève J. An overall strategy based on regression models to estimate relative survival and model the effects of prognostic factors in cancer survival studies. Statistics in Medicine 2007; 26:2214-2228.
9. Kooperberg C, Stone CJ, Truong YK. Hazard regression. Journal of the American Statistical Association 1995; 90:78-94.
10. Breslow NE. Covariance analysis of censored survival data. Biometrics 1974; 30:89-99.
11. Davison AC, Hinkley DV. Bootstrap Methods and their Application. Cambridge University Press: Cambridge, 1997.
12. Feldman DE, Bernatsky S, Haggerty J, Leffondré K, Tousignant P, Roy Y, Xiao Y, Zummer M, Abrahamowicz M. Delay in consultation with specialists for persons with suspected new-onset rheumatoid arthritis: a population-based study. Arthritis and Rheumatism 2007; 57:1419-1425.
13. Barlow W, Prentice R. Residuals for relative risk regression. Biometrika 1988; 75:65-74.
14. R Development Core Team. R A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. 2008, ISBN: 3-900051-07-0. Available from: http://www.R-project.org.
15. SAS Institute Inc. SAS 9.1.3 Help and Documentation, SAS Institute Inc., Cary, NC, 2000-2004.
16. Hsu L, Gorfine M, Malone K. On robustness of marginal regression coefficient estimates and hazard functions in multivariate survival analysis of family data when the frailty distribution is mis-specified. Statistics in Medicine 2007; 26:4657-4678.
17. Schmoor C, Schumacher M. Effects of covariate omission and categorization when analysing randomized trials with the Cox model. Statistics in Medicine 1997; 16:225-237.
18. Grambsch P, Therneau T. Proportional hazards tests and diagnostics based on weighted residuals. Biometrika 1994; 81:515-526.
19. O'Quigley J, Pessione F. The problem of a covariate-time qualitative interaction in survival study. Biometrics 1991; 47:101-115.
20. Therneau TM, Grambsch PM, Pankratz VS. Penalized survival models and frailty. Journal of Computational and Graphical Statistics 2003; 1:156-175.
21. Brookhart MA, Wang PS, Solomon DH, Schneeweiss S. Evaluating short-term drug effects using a physician-specific prescribing preference as an instrumental variable. Epidemiology 2006; 17:268-275.
22. Schneeweiss S, Seeger JD, Landon J, Walker AM. Aprotinin during coronary-artery bypass grafting and risk of death. New England Journal of Medicine 2008; 358:771-783.
23. Glidden DV. Checking the adequacy of the gamma frailty model for multivariate failure times. Biometrika 1999; 86:381-393.
24. Chen M, Bandeen-Roche K. A diagnostic for association in bivariate survival models. Lifetime Data Analysis 2005; 11:245-264.
25. Box-Steffensmeier JM, Bradford SJ. Event History Modeling: A Guide for Social Sciences. Cambridge University Press: Cambridge, 2004; 54-58.