title: Goodness-of-fit test for proportional subdistribution hazards model.
abstract: This paper concerns using modified weighted Schoenfeld residuals to test the proportionality of subdistribution hazards for the Fine-Gray model, similar to the tests proposed by Grambsch and Therneau for independently censored data. We develop a score test for the time-varying coefficients based on the modified Schoenfeld residuals derived assuming a certain form of non-proportionality. The methods perform well in simulations and a real data analysis of breast cancer data, where the treatment effect exhibits non-proportional hazards.
authors.affiliation: Division of Biostatistics, School of Public Health, Yale University, New Haven, CT 06520, U.S.A.; VA Cooperative Studies Program Coordinating Center, West Haven, CT 06516, U.S.A.
authors.forename: Bingqing
authors.initials: B
authors.lastname: Zhou
authors.forename: Jason
authors.initials: J
authors.lastname: Fine
authors.forename: Glen
authors.initials: G
authors.lastname: Laird
mesh_terms: D000368:Aged; D001943:Breast Neoplasms / Q000188:drug therapy; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D005260:Female; D006801:Humans; D009364:Neoplasm Recurrence, Local / Q000517:prevention & control; D016016:Proportional Hazards Models; D013629:Tamoxifen / Q000627:therapeutic use
chemical_list: D013629:Tamoxifen
keywords: Martingale residual; competing risk; goodness-of-fit; hazard of subdistribution; proportional hazard; score test