Comparing center-specific cumulative incidence functions

Springer Science and Business Media LLC - Tập 22 - Trang 17-37 - 2015
Ludi Fan1, Douglas E. Schaubel2
1Eli Lilly and Company, Indianapolis, USA
2Department of Biostatistics, University of Michigan, Ann Arbor, USA

Tóm tắt

The competing risks data structure arises frequently in clinical and epidemiologic studies. In such settings, the cumulative incidence function is often used to describe the ultimate occurrence of a particular cause of interest. If the objective of the analysis is to compare subgroups of patients with respect to cumulative incidence, imbalance with respect to group-specific covariate distributions must generally be factored out, particularly in observational studies. This report proposes a measure to contrast center- (or, more generally group-) specific cumulative incidence functions (CIF). One such application involves evaluating organ procurement organizations with respect to the cumulative incidence of kidney transplantation. In this case, the competing risks include (i) death on the wait-list and (ii) removal from the wait-list. The proposed method assumes proportional cause-specific hazards, which are estimated through Cox models stratified by center. The proposed center effect measure compares the average CIF for a given center to the average CIF that would have resulted if that particular center had covariate pattern-specific cumulative incidence equal to that of the national average. We apply the proposed methods to data obtained from a national organ transplant registry.

Tài liệu tham khảo

Andersen PK, Gill RD (1982) Cox’s regression model for counting processes: a large sample study. Ann Stat 10:1100–1120 Anderson PK, Borgan A, Gill RD, Keiding N (1993) Statistical models based on counting processes. Biometrics 24:100–101 Benichou J, Gail MH (1990) Estimates of absolute cause-specific risk in cohort studies. Biometrics 46:813–826 Breslow N (1972) Contribution to the discussion on the paper by D. R. Cox, regression and life tables. J R Stat Soc B 34:216–217 Cheng SC, Fine JP, Wei LJ (1998) Prediction of cumulative incidence function under the proportional hazards model. Biometrics 54:219–228 Chiang CL (1968) Introduction to stochastic processes in biostatistics. Wiley, New York Cox DR (1959) The analysis of exponentially distributed lifetimes with two types of failure. J R Stat Soc B 21:411–421 Cox D (1972) Regression models and life-tables (with discussion). J R Stat Soc B 34:187–220 Cox D (1975) Partial likelihood. Biometrika 62:262–276 Crowder MJ (2001) Classical competing risks. Chapman and Hall/CRC Press, London Dabrowska DM, Doksum KA (1988) Estimates and testing in a two-sample generalized odds-rate model. J Am Stat Assoc 83:744–749 DeLong ER, Peterson ED, DeLong DM, Muhlbaier LH, Hackett S, Mark DB (1997) Comparing risk-adjustment methods for provider profiling. Stat Med 16:2645–2664 Fine JP, Gray RJ (1999) A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc 94:496–509 Fleming TR, Harrington DP (1991) Counting processes and survival analysis. Wiley, New York Gail MH (1975) A review and critique of some models used in competing risk analysis. Biometrics 31:209–222 Gray RJ (1988) A class of K-sample tests for comparing the cumulative incidence of a competing risk. Ann Stat 16:1141–1154 Harrington DP, Fleming TR (1982) A class of rank test procedures for censored survival data. Biometrika 69(3):553–566 Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data. Wiley, Hoboken Klein JP, Moeschberger ML (2003) Survival analysis. Springer, New York Logan BR, Nelson GO, Klein JP (2008) Analyzing center specific outcomes in hematopoietic cell transplantation. Lifetime Data Anal 14(4):389–404 Moeschberger ML, David HA (1971) Life tests under competing causes of failure and the theory of competing risks. Biometrics 27:909–923 Prentice RL, Kalbfleisch JD, Peterson AV, Flournoy V, Farewell VT, Breslow NE (1978) The analysis of failure times in the presence of competing risks. Biometrics 34:541–554 Tsiatis AA (1975) A nonidentifiability aspect of the problem of competing risks. Proc Natl Acad Sci 72:20–22 Zhang MJ, Fine JP (2008) Summarizing differences in cumulative incidence functions. Stat Med 27:4939–4949 Zhang X, Zhang MJ (2011) SAS macros for estimation of direct adjusted cumulative incidence curves under proportional subdistribution hazards models. Comput Methods Programs Biomed 101:87–93