Proportional hazards tests and diagnostics based on weighted residuals
1994; Oxford University Press; Volume: 81; Issue: 3 Linguagem: Inglês
10.1093/biomet/81.3.515
ISSN1464-3510
AutoresPatricia M. Grambsch, Terry M. Therneau,
Tópico(s)Statistical Methods and Inference
ResumoSUMMARY Nonproportional hazards can often be expressed by extending the Cox model to include time varying coefficients; e.g., for a single covariate, the hazard function for subject i is modelled as exp { fl(t)Zi(t)}. A common example is a treatment effect that decreases with time. We show that the function /3(t) can be directly visualized by smoothing an appropriate residual plot. Also, many tests of proportional hazards, including those of Cox (1972), Gill & Schumacher (1987), Harrell (1986), Lin (1991), Moreau, O'Quigley & Mesbah (1985), Nagelkerke, Oosting & Hart (1984), O'Quigley & Pessione (1989), Schoenfeld (1980) and Wei (1984) are related to time-weighted score tests of the proportional hazards hypothesis, and can be visualized as a weighted least-squares line fitted to the residual plot.
Referência(s)