George Brandon, Denney Thomas, Gupta Himanshu, Dell'Italia Louis, Aban Inmaculada
University of Alabama at Birmingham.
Auburn University.
Ann Appl Stat. 2016 Mar;10(1):527-548. doi: 10.1214/16-AOAS911. Epub 2016 Mar 25.
Longitudinal imaging studies have both spatial and temporal correlation among the multiple outcome measurements from a subject. Statistical methods of analysis must properly account for this autocorrelation. In this work we discuss how a linear model with a separable parametric correlation structure could be used to analyze data from such a study. The goal of this paper is to provide an easily understood description of how such a model works and discuss how it can be applied to real data. Model assumptions are discussed and the process of selecting a working correlation structure is thoroughly discussed. The steps necessitating collaboration between statistical and scientific investigators have been highlighted, as have considerations for missing data or uneven follow-up. The results from a completed longitudinal cardiac imaging study were considered for illustration purposes. The data comes from a clinical trial for medical therapy for patients with mitral regurgitation, with repeated measurements taken at sixteen locations from the left ventricle to measure disease progression. The spatiotemporal correlation model was compared to previously used summary measures to demonstrate improved power as well as increased flexibility in the use of time- and space-varying predictors.
纵向成像研究在来自同一受试者的多个结果测量值之间具有空间和时间相关性。统计分析方法必须恰当地考虑这种自相关性。在这项工作中,我们讨论了如何使用具有可分离参数相关结构的线性模型来分析此类研究的数据。本文的目的是提供对这种模型如何工作的易于理解的描述,并讨论它如何应用于实际数据。讨论了模型假设,并详细讨论了选择工作相关结构的过程。强调了统计人员与科研人员之间进行协作的必要步骤,以及对缺失数据或随访不均衡的考虑。为了说明目的,考虑了一项已完成的纵向心脏成像研究的结果。数据来自一项针对二尖瓣反流患者的药物治疗临床试验,在左心室的16个位置进行重复测量以评估疾病进展。将时空相关模型与先前使用的汇总测量方法进行比较,以证明其在使用随时间和空间变化的预测因子时具有更高的功效和更大的灵活性。