我们在临床研究中,经常要研究疾病与生存率的关系,cox回归是用得比较常见的模型之一。Cox 比例风险模型依赖于风险随时间变化的假设(PH假设),意思是协变量对结局的影响随着时间变化是固定的。然而现实中常有不满足于PH假设的情况。如文章:All-cause and cause-specific mortality associated with diabetes in prevalent hemodialysis patients中 道了一个人的糖尿病状态可能会随着时间而变化,尿毒症患者肾功能随着时间变化加重,因此Cox 比例风险模型用在此处不合适,我们可以选用COX回归模型的扩展,一般有两种内在和外部,见下图
survival包自带的cox.zph函数可以用于PH假设的检查
这样我们就多了一个新指标tgroup,如下图
- Thomas L, Reyes EM. Tutorial: Survival Estimation for Cox Regression Models with Time-Varying Coefficients Using SASand R. Journal of Statistical Software 2014;61:1-23. 10.18637/jss.v061.c01
- Terry Therneau, Cynthia Crowson, Elizabeth Atkinson. Using Time Dependent Covariates and Time Dependent Coecients in the Cox Model. November 26, 2018
- Gray’s Time-Varying Coefficients Model for Posttransplant Survival of Pediatric Liver Transplant Recipients with a Diagnosis of Cancer
- Zhang Z, Reinikainen J, Adeleke KA, Pieterse ME, Groothuis-Oudshoorn CGM. Time-varying covariates and coefficients in Cox regression models. Ann Transl Med. 2018 Apr;6(7):121. doi: 10.21037/atm.2018.02.12. PMID: 29955581; PMCID: PMC6015946.
- Tian L, Zucker D, Wei LJ. On the Cox Model With Time-Varying Regression Coefficients. Harvard University Biostatistics Working Paper 2005;100:172-83.
- Adeleke KA, Abiodun AA, Ipinyomi RA. Semi-parametric non-proportional hazard model with time varying covariate. Womens Health Journal 2015;14:68-87
- Ren Y, Chang CC, Zenarosa GL, Tomko HE, Donnell DM, Kang HJ, Roberts MS, Bryce CL. Gray’s time-varying coefficients model for posttransplant survival of pediatric liver transplant recipients with a diagnosis of cancer. Comput Math Methods Med. 2013;2013:719389. doi: 10.1155/2013/719389. Epub 2013 May 12. PMID: 23762197; PMCID: PMC3665233.
- Sattar A, Argyropoulos C, Weissfeld L, Younas N, Fried L, Kellum JA, Unruh M. All-cause and cause-specific mortality associated with diabetes in prevalent hemodialysis patients. BMC Nephrol. 2012 Oct 1;13:130. doi: 10.1186/1471-2369-13-130. PMID: 23025844; PMCID: PMC3519533.
文章知识点与官方知识档案匹配,可进一步学习相关知识OpenCV技能树首页概览11598 人正在系统学习中
声明:本站部分文章及图片源自用户投稿,如本站任何资料有侵权请您尽早请联系jinwei@zod.com.cn进行处理,非常感谢!