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Extensions of the absolute standardized hazard ratio and connections with measures of explained variation and variable importance.
Lifetime Data Analysis ( IF 1.3 ) Pub Date : 2020-07-23 , DOI: 10.1007/s10985-020-09504-2
Michael R Crager 1
Affiliation  

The absolute standardized hazard ratio (ASHR) is a scale-invariant scalar measure of the strength of association of a vector of covariates with the risk of an event. It is derived from proportional hazards regression. The ASHR is useful for making comparisons among different sets of covariates. Extensions of the ASHR concept and practical considerations regarding its computation are discussed. These include a new method to conduct preliminary checks for collinearity among covariates, a partial ASHR to evaluate the association with event risk of some of the covariates conditioning on others, and the ASHR for interactions. To put the ASHR in context, its relationship to measures of explained variation and other measures of separation of risk is discussed. A new measure of the contribution of each covariate to the risk score variance is proposed. This measure, which is derived from the ASHR calculations, is interpretable as variable importance within the context of the multivariable model.

中文翻译:

绝对标准化风险比的扩展以及与解释变异和变量重要性的度量的联系。

绝对标准化风险比 (ASHR) 是衡量协变量向量与事件风险关联强度的尺度不变标量度量。它来自比例风险回归。ASHR 可用于在不同的协变量集之间进行比较。讨论了ASHR 概念的扩展和有关其计算的实际考虑。其中包括对协变量之间的共线性进行初步检查的新方法、用于评估某些协变量对其他协变量的事件风险关联的部分ASHR,以及用于交互的ASHR。为了将 ASHR 置于上下文中,讨论了它与解释变异的度量和其他风险分离度量的关系。提出了一种衡量每个协变量对风险评分方差的贡献的新方法。
更新日期:2020-07-23
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