MARTINGALE-BASED RESIDUALS FOR SURVIVAL MODELS

MARTINGALE-BASED RESIDUALS FOR SURVIVAL MODELS
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DOI:
10.2307/2336057
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发表时间:
1990-03-01
期刊:
影响因子:
2.7
通讯作者:
FLEMING, TR
FLEMING, TR
中科院分区:
数学2区
文献类型:
--
作者:
THERNEAU, TM;GRAMBSCH, PM;FLEMING, TR

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基于残差分析的图解方法被认为是用于设置频繁使用的考克斯(1972)回归模型和用于Andersen-Gill(1982)对该模型的推广。我们从Barlow和普伦蒂斯(1988)提出的一类基于鞅的残差开始。这些残差和/或它们的变换对于研究协变量的函数形式、比例风险假设、每个受试者对β的估计的杠杆作用,以及缺乏对给定对象的模型拟合。
Graphical methods based on the analysis of residuals are considered for the setting of the highly-used Cox (1972) regression model and for the Andersen-Gill (1982) generalization of that model. We start with a class of martingale-based residuals as proposed by Barlow and Prentice (1988). These residuals and/or their transforms are useful for investigating the functional form of a covariate, the proportional hazards assumption, the leverage of each subject upon the estimates of .beta., and the lack of model fit to a given subject.