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

被引:175
|
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.
引用
收藏
页码:1045 / 1062
页数:18
相关论文
共 45 条
  • [21] Proportional hazards modeling of time-dependent covariates using linear regression: A case study
    Kumar, D
    Westberg, U
    [J]. IEEE TRANSACTIONS ON RELIABILITY, 1996, 45 (03) : 386 - 392
  • [22] Estimating effects of rare haplotypes on failure time using a penalized Cox proportional hazards regression model
    Souverein, Olga W.
    Zwinderman, Aeilko H.
    Jukema, J. Wouter
    Tanck, Michael W. T.
    [J]. BMC GENETICS, 2008, 9 (1)
  • [23] Estimating effects of rare haplotypes on failure time using a penalized Cox proportional hazards regression model
    Olga W Souverein
    Aeilko H Zwinderman
    J Wouter Jukema
    Michael WT Tanck
    [J]. BMC Genetics, 9
  • [24] Mixed Models for Repeated Measures Should Include Time-by-Covariate Interactions to Assure Power Gains and Robustness Against Dropout Bias Relative to Complete-Case ANCOVA
    Schuler, Alejandro
    [J]. THERAPEUTIC INNOVATION & REGULATORY SCIENCE, 2022, 56 (01) : 145 - 154
  • [25] Mixed Models for Repeated Measures Should Include Time-by-Covariate Interactions to Assure Power Gains and Robustness Against Dropout Bias Relative to Complete-Case ANCOVA
    Alejandro Schuler
    [J]. Therapeutic Innovation & Regulatory Science, 2022, 56 : 145 - 154
  • [26] An explicit time integration method for structural dynamics using cubic B-spline polynomial functions
    Rostami, S.
    Shojaee, S.
    Saffari, H.
    [J]. SCIENTIA IRANICA, 2013, 20 (01) : 23 - 33
  • [27] Numerical Simulation of Time Fractional BBM-Burger Equation Using Cubic B-Spline Functions
    Kamran, Mohsin
    Abbas, Muhammad
    Majeed, Abdul
    Emadifar, Homan
    Nazir, Tahir
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [28] Generating Survival Times Using Cox Proportional Hazards Models with Cyclic and Piecewise Time-Varying Covariates
    Huang, Yunda
    Zhang, Yuanyuan
    Zhang, Zong
    Gilbert, Peter B.
    [J]. STATISTICS IN BIOSCIENCES, 2020, 12 (03) : 324 - 339
  • [29] Generating Survival Times Using Cox Proportional Hazards Models with Cyclic and Piecewise Time-Varying Covariates
    Yunda Huang
    Yuanyuan Zhang
    Zong Zhang
    Peter B. Gilbert
    [J]. Statistics in Biosciences, 2020, 12 : 324 - 339
  • [30] Estimating Covariate-Adjusted Log Hazard Ratios in Randomized Clinical Trials Using Cox Proportional Hazards Models and Nonparametric Randomization Based Analysis of Covariance
    Saville, Benjamin R.
    Koch, Gary G.
    [J]. JOURNAL OF BIOPHARMACEUTICAL STATISTICS, 2013, 23 (02) : 477 - 490