论文标题
用于分层的COX模型的偏差套索,并适用于国家肾脏移植数据
De-biased lasso for stratified Cox models with application to the national kidney transplant data
论文作者
论文摘要
移植接受者(SRTR)系统的科学注册表已成为了解肾移植后移植失败的复杂机制的丰富资源,这是有效分配器官并实施适当护理的关键步骤。由于接受治疗患者的移植中心可能会严重混淆移植失败,因此中心分层的Cox模型可以消除其混杂作用。同样,由于接受者年龄是一个事实证明的不可修改的危险因素,因此一种常见的做法是由接受者年龄组分别拟合模型。在某些年龄组中,相对于协变量数量的中等样本大小可能会导致最大分层的部分可能性估计值和不可靠的置信区间,即使样品仍然超过协变量。为了在SRTR中的捐助者和接受者中衡量的全面列表中获取可靠的推断,我们通过二次编程提出了一种偏差的套索方法,用于拟合分层的COX模型。我们建立渐近性能,并通过模拟验证我们的方法会产生一致的估计和置信区间,并具有名义覆盖概率。这种偏见的方法在SRTR中考虑了近100个混杂因素,检测到,移植失败的危害随着所有受体年龄段的捐助者的年龄而非线性增加,而来自年长的捐助者的器官对年轻接受者的不利影响更大。我们的方法还描述了移植失败与许多危险因素之间的关联,例如接受者的主要诊断(例如,多囊病,肾小球疾病和糖尿病)和跨接受者年龄组的人类白细胞抗原位点的供体 - 复发不匹配。这些结果可能会为利益相关者提供捐助者 - 招聘匹配标准的完善。
The Scientific Registry of Transplant Recipients (SRTR) system has become a rich resource for understanding the complex mechanisms of graft failure after kidney transplant, a crucial step for allocating organs effectively and implementing appropriate care. As transplant centers that treated patients might strongly confound graft failures, Cox models stratified by centers can eliminate their confounding effects. Also, since recipient age is a proven non-modifiable risk factor, a common practice is to fit models separately by recipient age groups. The moderate sample sizes, relative to the number of covariates, in some age groups may lead to biased maximum stratified partial likelihood estimates and unreliable confidence intervals even when samples still outnumber covariates. To draw reliable inference on a comprehensive list of risk factors measured from both donors and recipients in SRTR, we propose a de-biased lasso approach via quadratic programming for fitting stratified Cox models. We establish asymptotic properties and verify via simulations that our method produces consistent estimates and confidence intervals with nominal coverage probabilities. Accounting for nearly 100 confounders in SRTR, the de-biased method detects that the graft failure hazard nonlinearly increases with donor's age among all recipient age groups, and that organs from older donors more adversely impact the younger recipients. Our method also delineates the associations between graft failure and many risk factors such as recipients' primary diagnoses (e.g. polycystic disease, glomerular disease, and diabetes) and donor-recipient mismatches for human leukocyte antigen loci across recipient age groups. These results may inform the refinement of donor-recipient matching criteria for stakeholders.