The analysis of failure times in the presence of competing risks - PubMed (original) (raw)
- PMID: 373811
The analysis of failure times in the presence of competing risks
R L Prentice et al. Biometrics. 1978 Dec.
Abstract
Distinct problems in the analysis of failure times with competing causes of failure include the estimation of treatment or exposure effects on specific failure types, the study of interrelations among failure types, and the estimation of failure rates for some causes given the removal of certain other failure types. The usual formation of these problems is in terms of conceptual or latent failure times for each failure type. This approach is criticized on the basis of unwarranted assumptions, lack of physical interpretation and identifiability problems. An alternative approach utilizing cause-specific hazard functions for observable quantities, including time-dependent covariates, is proposed. Cause-specific hazard functions are shown to be the basic estimable quantities in the competing risks framework. A method, involving the estimation of parameters that relate time-dependent risk indicators for some causes to cause-specific hazard functions for other causes, is proposed for the study of interrelations among failure types. Further, it is argued that the problem of estimation of failure rates under the removal of certain causes is not well posed until a mechanism for cause removal is specified. Following such a specification, one will sometimes be in a position to make sensible extrapolations from available data to situations involving cause removal. A clinical program in bone marrow transplantation for leukemia provides a setting for discussion and illustration of each of these ideas. Failure due to censoring in a survivorship study leads to further discussion.
Similar articles
- Extended follow-up and spatial analysis of the American Cancer Society study linking particulate air pollution and mortality.
Krewski D, Jerrett M, Burnett RT, Ma R, Hughes E, Shi Y, Turner MC, Pope CA 3rd, Thurston G, Calle EE, Thun MJ, Beckerman B, DeLuca P, Finkelstein N, Ito K, Moore DK, Newbold KB, Ramsay T, Ross Z, Shin H, Tempalski B. Krewski D, et al. Res Rep Health Eff Inst. 2009 May;(140):5-114; discussion 115-36. Res Rep Health Eff Inst. 2009. PMID: 19627030 - Competing risks analysis of patients with osteosarcoma: a comparison of four different approaches.
Tai BC, Machin D, White I, Gebski V; EOI (The European Osteosarcoma Intergroup). Tai BC, et al. Stat Med. 2001 Mar 15;20(5):661-84. doi: 10.1002/sim.711. Stat Med. 2001. PMID: 11241570 Clinical Trial. - Hazard rate models with covariates.
Prentice RL, Kalbfleisch JD. Prentice RL, et al. Biometrics. 1979 Mar;35(1):25-39. Biometrics. 1979. PMID: 497336 - Regression models for hazard rates versus cumulative incidence probabilities in hematopoietic cell transplantation data.
Logan BR, Zhang MJ, Klein JP. Logan BR, et al. Biol Blood Marrow Transplant. 2006 Jan;12(1 Suppl 1):107-12. doi: 10.1016/j.bbmt.2005.09.005. Biol Blood Marrow Transplant. 2006. PMID: 16399594 Review. - Conceptual problems in the definition and interpretation of attributable fractions.
Greenland S, Robins JM. Greenland S, et al. Am J Epidemiol. 1988 Dec;128(6):1185-97. doi: 10.1093/oxfordjournals.aje.a115073. Am J Epidemiol. 1988. PMID: 3057878 Review.
Cited by
- Bayesian parametric estimation based on left-truncated competing risks data under bivariate Clayton copula models.
Michimae H, Emura T, Miyamoto A, Kishi K. Michimae H, et al. J Appl Stat. 2024 Feb 22;51(13):2690-2708. doi: 10.1080/02664763.2024.2315458. eCollection 2024. J Appl Stat. 2024. PMID: 39290358 - Patient-specific guides for consistently achieving R0 bone margins after resection of primary malignant bone tumors of the pelvis.
du Cluzel de Remaurin X, Dumaine V, Cladiere-Nassif V, Anract P, Biau D. du Cluzel de Remaurin X, et al. World J Surg Oncol. 2024 Sep 4;22(1):233. doi: 10.1186/s12957-024-03478-3. World J Surg Oncol. 2024. PMID: 39232698 Free PMC article. - Reducing Central Nervous System-Active Medications to Prevent Falls and Injuries Among Older Adults: A Cluster Randomized Clinical Trial.
Phelan EA, Williamson BD, Balderson BH, Cook AJ, Piccorelli AV, Fujii MM, Nakata KG, Graham VF, Theis MK, Turner JP, Tannenbaum C, Gray SL. Phelan EA, et al. JAMA Netw Open. 2024 Jul 1;7(7):e2424234. doi: 10.1001/jamanetworkopen.2024.24234. JAMA Netw Open. 2024. PMID: 39052289 Free PMC article. Clinical Trial. - Immunosuppression at ICU admission is not associated with a higher incidence of ICU-acquired bacterial bloodstream infections: the COCONUT study.
Zebian G, Kreitmann L, Houard M, Piantoni A, Piga G, Ruffier des Aimes S, Holik B, Wallet F, Labreuche J, Nseir S. Zebian G, et al. Ann Intensive Care. 2024 Jun 5;14(1):83. doi: 10.1186/s13613-024-01314-1. Ann Intensive Care. 2024. PMID: 38837065 Free PMC article. - Overall Survival of Primary Single Intracranial Atypical Meningioma with Different Surgical and Postoperative Treatment Options: Evidence from the SEER Database.
Qin JJ, Li C, Fu J, Chen XZ. Qin JJ, et al. J Multidiscip Healthc. 2024 May 27;17:2647-2658. doi: 10.2147/JMDH.S461450. eCollection 2024. J Multidiscip Healthc. 2024. PMID: 38828268 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Other Literature Sources