Crager Michael R
Department of Biostatistics, Exact Sciences Corporation, 301 Penobscot Drive, Redwood City, CA, 94063, USA.
Lifetime Data Anal. 2020 Oct;26(4):872-892. doi: 10.1007/s10985-020-09504-2. Epub 2020 Jul 23.
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.
绝对标准化风险比（ASHR）是一种尺度不变的标量度量，用于衡量协变量向量与事件风险之间关联的强度。它源自比例风险回归。ASHR有助于对不同的协变量集进行比较。本文讨论了ASHR概念的扩展及其计算的实际考量。这些包括一种用于对协变量之间的共线性进行初步检验的新方法、一种用于评估在其他协变量条件下部分协变量与事件风险关联的部分ASHR，以及用于交互作用的ASHR。为了更好地理解ASHR，本文讨论了它与解释变异度量和其他风险分离度量之间的关系。本文提出了一种衡量每个协变量对风险评分方差贡献的新方法。该方法源自ASHR计算，在多变量模型的背景下可解释为变量重要性。
