摘要(英) |
In many survival studies, Cox PH model is widely discussed and applied in lots of situations. However, when we use Cox model, all the covariates have to satisfy proportional hazard assumption. Once any one of covariates violates the assumption, Cox model cannot be used. In such case, The AFT model may be an alternative model. Both Cox model and AFT model are multiplicative model. There are some research data in practice that are more appropriate to describe the covariate effects as additive, such as the Aalen additive model. To handle complicated data, we propose a more general addictive-multiplicative model, Aalen-Cox model, by putting those covariates which violate proportional hazard assumption into the addictive part in the Aalen-Cox model. In addition, we may further replace the Cox model by AFT model, thus the so-called Aalen-AFT model is constructed. In particular, to handle event time data with longitudinal covariates, we uses the joint model method, incorporating the EM-algorithm、MCMC and Newton-Raphson to do parameter estimation. The estimation method is evaluated via simulation. The Taiwan AIDS cohort data is used to verify the practicability of the new method. |
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