Extensions and applications of the Cox-Aalen survival model
Extensions and applications of the Cox-Aalen survival model
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DOI：
10.1111/j.0006-341x.2003.00119.x
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发表时间：
2003-12-01
期刊：
影响因子：
1.9
通讯作者：
Zhang, MJ
中科院分区：
文献类型：
--
作者：
Scheike, TH;Zhang, MJ
Cox 回归模型是大多数应用中生存分析的标准回归工具。然而，该模型通常仅提供某些协变量影响的粗略总结。因此，如果目的是详细描述协变量效应并计算预测概率，则需要更灵活的模型。在另一篇文章中，Scheike 和Zhang (2002, 斯堪的纳维亚统计杂志 29, 75-88)，我们建议对 Cox 回归模型进行灵活扩展，旨在仅针对需要额外灵活性的协变量扩展 Cox 模型。该方法的一个重要优点是，即使允许协变量产生非参数效应，也不需要寻找平滑参数的麻烦和困难。我们展示了扩展模型如何得出预测概率及其标准误差的简单公式，例如在竞争风险框架中。
Cox's regression model is the standard regression tool for survival analysis in most applications. Often, however, the model only provides a rough summary of the effect of some covariates. Therefore, if the aim is to give a detailed description of covariate effects and to consequently calculate predicted probabilities, more flexible models are needed. In another article, Scheike and Zhang (2002, Scandinavian Journal of Statistics 29, 75-88), we suggested a flexible extension of Cox's regression model, which aimed at extending the Cox model only for those covariates where additional flexibility are needed. One important advantage of the suggested approach is that even though covariates are allowed a nonparametric effect, the hassle and difficulty of finding smoothing parameters are not needed. We show how the extended model also leads to simple formulae for predicted probabilities and their standard errors, for example, in the competing risk framework.