Partial Partial Likelihood |
| |
Authors: | Göran Broström Marie Lindkvist |
| |
Institution: | 1. Department of Statistics , Ume? University , Ume?, Sweden gb@stat.umu.se;3. Department of Statistics , Ume? University , Ume?, Sweden |
| |
Abstract: | The maximum likelihood and maximum partial likelihood approaches to the proportional hazards model are unified. The purpose is to give a general approach to the analysis of the proportional hazards model, whether the baseline distribution is absolutely continuous, discrete, or a mixture. The advantage is that heavily tied data will be analyzed with a discrete time model, while data with no ties is analyzed with ordinary Cox regression. Data sets in between are treated by a compromise between the discrete time model and Efron's approach to tied data in survival analysis, and the transitions between modes are automatic. A simulation study is conducted comparing the proposed approach to standard methods of handling ties. A recent suggestion, that revives Breslow's approach to tied data, is finally discussed. |
| |
Keywords: | Breslow's method Cox regression Efron's method Partial likelihood Profile likelihood Survival analysis Tied data |
|
|