title: Accelerated hazards mixture cure model.
abstract: We propose a new cure model for survival data with a surviving or cure fraction. The new model is a mixture cure model where the covariate effects on the proportion of cure and the distribution of the failure time of uncured patients are separately modeled. Unlike the existing mixture cure models, the new model allows covariate effects on the failure time distribution of uncured patients to be negligible at time zero and to increase as time goes by. Such a model is particularly useful in some cancer treatments when the treat effect increases gradually from zero, and the existing models usually cannot handle this situation properly.We develop a rank based semiparametric estimation method to obtain the maximum likelihood estimates of the parameters in the model. We compare it with existing models and methods via a simulation study, and apply the model to a breast cancer data set. The numerical studies show that the new model provides a useful addition to the cure model literature.
authors.affiliation: Department of Epidemiology and Biostatistics, University of South Carolina, Columbia, SC 29208, USA.
authors.forename: Jiajia
authors.initials: J
authors.lastname: Zhang
authors.forename: Yingwei
authors.initials: Y
authors.lastname: Peng
mesh_terms: D000465:Algorithms; D015982:Bias; D001943:Breast Neoplasms; D002986:Clinical Trials as Topic; D005260:Female; D006801:Humans; D015233:Models, Statistical; D008962:Models, Theoretical; D018426:SEER Program / Q000706:statistics & numerical data; D016019:Survival Analysis; D016896:Treatment Outcome; D014481:United States
references.citation: Stat Med. 2002 Nov 15;21(21):3235-47
references.pmid: 12375301
references.citation: Biometrics. 2000 Mar;56(1):227-36
references.pmid: 10783800
references.citation: Biometrics. 2000 Mar;56(1):237-43
references.pmid: 10783801
references.citation: Stat Med. 1998 Apr 30;17(8):813-30
references.pmid: 9595613
references.citation: Stat Med. 2007 Jul 20;26(16):3157-71
references.pmid: 17094075
references.citation: Biometrics. 1974 Mar;30(1):89-99
references.pmid: 4813387
references.citation: Biometrics. 1982 Dec;38(4):1041-6
references.pmid: 7168793
references.citation: Biometrics. 2001 Sep;57(3):853-60
references.pmid: 11550937
references.citation: Biometrics. 1994 Mar;50(1):61-76
references.pmid: 8086616