Institute of Medical Biometry and Epidemiology, University Medical Center Hamburg-Eppendorf (UKE), Hamburg, Germany; Institute of Medical Biometry and Statistics, University of Lübeck, Lübeck, Germany.
Dtsch Arztebl Int. 2024 Feb 23;121(4):128-134. doi: 10.3238/arztebl.m2023.0278.
Regression analysis is a standard method in medical research. It is often not clear, however, how the individual components of regression models are to be understood and interpreted. In this article, we provide an overview of this type of analysis and discuss its special features when used in observational studies.
Based on a selective literature review, the individual components of a regression model for differently scaled outcome variables (metric: linear regression; binary: logistic regression; time to event: Cox regression; count variable: Poisson or negative binomial regression) are explained, and their interpretation is illustrated with respect to a study on multiple sclerosis. The prerequisites for the use of each of these models, their applications, and their limitations are described in detail.
Regression analyses are used to quantify the relation between several variables and the outcome variable. In randomized clinical trials, this flexible statistical analysis method is usually lean and prespecified. In observational studies, where there is a need to control for potential confounders, researchers with knowledge of the topic in question must collaborate with experts in statistical modeling to ensure high model quality and avoid errors. Causal diagrams are an increasingly important basis for evaluation. They should be constructed in collaboration and should differentiate between confounders, mediators, and colliders.
Researchers need a basic understanding of regression models so that these models will be well defined and their findings will be fully reported and correctly interpreted.
回归分析是医学研究中的一种标准方法。然而,对于回归模型的各个组成部分应该如何理解和解释,往往并不清楚。本文对这种分析方法进行了概述,并讨论了其在观察性研究中的特点。
基于选择性文献回顾,解释了不同比例的因变量(度量:线性回归;二项:逻辑回归;时间事件:Cox 回归;计数变量:泊松或负二项回归)的回归模型的各个组成部分,并结合多发性硬化症的研究说明了它们的解释。详细描述了每种模型的使用前提、应用和局限性。
回归分析用于量化几个变量与因变量之间的关系。在随机临床试验中,这种灵活的统计分析方法通常是精简的和预设的。在需要控制潜在混杂因素的观察性研究中,有问题主题知识的研究人员必须与统计建模专家合作,以确保高质量的模型并避免错误。因果图是评估的一个越来越重要的基础。它们应该在协作中构建,并区分混杂因素、中介因素和共发因素。
研究人员需要对回归模型有基本的了解,以便对这些模型进行明确定义,并充分报告和正确解释其发现。