Misspecified regression model for the subdistribution hazard of a competing risk

We consider a competing risks setting, when evaluating the prognostic influence of an exposure on a specific cause of failure. Two main regression models are used in such analyses, the Cox cause-specific proportional hazards model and the subdistribution proportional hazards model. They are exemplified in a real data example focusing on relapse-free interval in acute leukaemia patients. We examine the properties of the estimator based on the latter model when the true model is the former. An explicit relationship between subdistribution hazards ratio and cause-specific hazards ratio is derived, assuming a flexible parametric distribution for latent failure times.

[1]  Henry W. Block,et al.  A Continuous, Bivariate Exponential Extension , 1974 .

[2]  R. Gray.  A Class of $K$-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk , 1988 .

[3]  M S Pepe,et al.  Kaplan-Meier, marginal or conditional probability curves in summarizing competing risks failure time data? , 1993, Statistics in medicine.

[4]  V T Farewell,et al.  The analysis of failure times in the presence of competing risks. , 1978, Biometrics.

[5]  J. Fine,et al.  Regression modeling of competing crude failure probabilities. , 2001, Biostatistics.

[6]  John P Klein,et al.  Regression Modeling of Competing Risks Data Based on Pseudovalues of the Cumulative Incidence Function , 2005, Biometrics.

[7]  Patricia J. Solomon,et al.  Effect of misspecification of regression models in the analysis of survival data , 1984 .

[8]  John P Klein,et al.  Modelling competing risks in cancer studies , 2006, Statistics in medicine.

[9]  Margaret S. Pepe,et al.  Inference for Events with Dependent Risks in Multiple Endpoint Studies , 1991 .

[10]  Ganapati P. Patil,et al.  A BIVARIATE EXPONENTIAL MODEL WITH APPLICATIONS TO RELIABILITY AND COMPUTER GENERATION OF RANDOM VARIABLES , 1977 .

[11]  Susanne Rosthøj,et al.  Competing risks as a multi-state model , 2002, Statistical methods in medical research.

[12]  H. Dombret,et al.  Randomized comparison of double induction and timed-sequential induction to a "3 + 7" induction in adults with AML: long-term analysis of the Acute Leukemia French Association (ALFA) 9000 study. , 2004, Blood.

[13]  Robert Gray,et al.  A Proportional Hazards Model for the Subdistribution of a Competing Risk , 1999 .

[14]  B. Freidlin,et al.  Testing treatment effects in the presence of competing risks , 2005, Statistics in medicine.

[15]  John D. Kalbfleisch,et al.  Misspecified proportional hazard models , 1986 .