Survival Analysis with Time‐Varying Regression Effects Using a Tree‐Based Approach
Survival Analysis with Time‐Varying Regression Effects Using a Tree‐Based Approach
复制标题
使用基于树的方法进行随时间变化的回归效应的生存分析
作者：
R. Xu;S. Adak
概括。正如国际非霍奇金淋巴瘤预后因素项目的数据所示，生存分析中经常出现不成比例的风险。开发了一种处理此类生存数据的基于树的方法，用于评估和估计 Cox 型模型下的时间相关回归效应。树方法将时变回归效应近似为分段常数，旨在估计回归参数的变化点。时间轴的递归分割采用了依赖于最大化得分统计的快速算法。分割之后，使用具有类似于分类和回归树 (CART) 的最佳属性的修剪算法来确定稀疏分割。引导重采样用于纠正由于分割点优化而导致的过度乐观。分段常数模型通常比更灵活的样条模型更适合回归参数的临床解释。该算法的实用性在淋巴瘤数据上得到了体现，我们进一步将已发布的国际风险指数发展为非霍奇金淋巴瘤的时变风险指数。
Summary. Nonproportional hazards often arise in survival analysis, as is evident in the data from the International Non‐Hodgkin's Lymphoma Prognostic Factors Project. A tree‐based method to handle such survival data is developed for the assessment and estimation of time‐dependent regression effects under a Cox‐type model. The tree method approximates the time‐varying regression effects as piecewise constants and is designed to estimate change points in the regression parameters. A fast algorithm that relies on maximized score statistics is used in recursive segmentation of the time axis. Following the segmentation, a pruning algorithm with optimal properties similar to those of classification and regression trees (CART) is used to determine a sparse segmentation. Bootstrap resampling is used in correcting for overoptimism due to split point optimization. The piecewise constant model is often more suitable for clinical interpretation of the regression parameters than the more flexible spline models. The utility of the algorithm is shown on the lymphoma data, where we further develop the published International Risk Index into a time‐varying risk index for non‐Hodgkin's lymphoma.
DOI：
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发表时间：
1972
期刊：
--
影响因子：
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作者：
D. Cox
通讯作者：
D. Cox
影响因子：
1.9
作者：
KIM, K;TSIATIS, AA
通讯作者：
TSIATIS, AA