ASSESSING TIME-BY-COVARIATE INTERACTIONS IN PROPORTIONAL HAZARDS REGRESSION-MODELS USING CUBIC SPLINE FUNCTIONS

被引:178
作者
HESS, KR
机构
[1] Department of Patient Studies, University of Texas, M.D. Anderson Cancer Center, Houston, Texas, 77030-4095, Box 214
关键词
D O I
10.1002/sim.4780131007
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Proportional hazards (or Cox) regression is a popular method for modelling the effects of prognostic factors on survival. Use of cubic spline functions to model time-by-covariate interactions in Cox regression allows investigation of the shape of a possible covariate-time dependence without having to specify a specific functional form. Cubic spline functions allow one to graph such time-by-covariate interactions, to test formally for the proportional hazards assumption, and also to test for non-linearity of the time-by-covariate interaction. The functions can be fitted with existing software using relatively few parameters; the regression coefficients are estimated using standard maximum likelihood methods.
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页码:1045 / 1062
页数:18
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