Banzato Erika, Roverato Alberto, Buja Alessandra, Boccuzzo Giovanna
Department of Statistical Sciences, University of Padova, via C. Battisti 241, 35121, Padova, Italy.
Department of Cardiologic, Vascular, and Thoracic Sciences and Public Health, University of Padova, via L. Loredan 18, 35131, Padova, Italy.
BMC Med Res Methodol. 2025 Apr 1;25(1):84. doi: 10.1186/s12874-025-02536-y.
The use of graphical models in the multimorbidity context is increasing in popularity due to their intuitive visualization of the results. A comprehensive understanding of the model itself is essential for its effective utilization and optimal application. This article is a practical guide on the use of graphical models to better understand multimorbidity. It provides a tutorial with a focus on the interpretation of the model structure and of the parameter values. In this study, we analyze data related to a cohort of 214,401 individuals, who were assisted by the Local Health Unit of the province of Padova (north-eastern Italy), collecting information from hospital discharge forms.
We explain some fundamental concepts, with special attention to the difference between marginal and conditional associations. We emphasize the importance of considering multimorbidity as a network, where the variables involved are part of an interconnected system of interactions, to correct for spurious effects in the analysis. We show how to analyze the network structure learned from the data by introducing and explaining some centrality measures. Finally, we compare the model obtained by adjusting for population characteristics with the results of a stratified analysis.
Using examples from the estimated model, we demonstrate the key differences between marginal and conditional associations. Specifically, we show that, marginally, all variables appear associated, while this is not the case when considering conditional associations, where many variables appear to be conditionally independent given the others. We present the results from the analysis of centrality indices, revealing that cardiovascular diseases occupy a central position in the network, unlike more peripheral conditions such as sensory organ diseases. Finally, we illustrate the differences between networks estimated in subpopulations, highlighting how disease associations vary across different groups.
Graphical models are a versatile tool for analyzing multimorbidity, offering insights into disease associations while controlling for the effects of other variables. This paper provides an overview of graphical models without focusing on detailed methodology, highlighting their utility in understanding network structures and potential subgroup differences, such as gender-related variations in multimorbidity patterns.
由于图形模型能够直观地呈现结果,其在多病共患背景下的应用日益广泛。全面理解模型本身对于有效利用和优化应用至关重要。本文是关于使用图形模型以更好理解多病共患的实用指南。它提供了一个教程,重点在于模型结构和参数值的解释。在本研究中,我们分析了与214,401名个体队列相关的数据,这些个体由意大利东北部帕多瓦省的地方卫生单位提供协助,数据收集自医院出院表格。
我们解释了一些基本概念,特别关注边际关联和条件关联之间的差异。我们强调将多病共患视为一个网络的重要性,其中所涉及的变量是相互关联的交互系统的一部分,以便在分析中校正虚假效应。我们展示了如何通过引入和解释一些中心性度量来分析从数据中学习到的网络结构。最后,我们将通过调整人口特征得到的模型与分层分析的结果进行比较。
通过估计模型中的示例,我们展示了边际关联和条件关联之间的关键差异。具体而言,我们表明,从边际上看,所有变量似乎都有关联,而在考虑条件关联时情况并非如此,在条件关联中,许多变量在其他变量给定的情况下似乎是条件独立的。我们展示了中心性指标分析的结果,揭示心血管疾病在网络中占据中心位置,这与感觉器官疾病等更外围的疾病不同。最后,我们说明了亚人群中估计的网络之间的差异,突出了疾病关联在不同组之间的变化情况。
图形模型是分析多病共患的通用工具,在控制其他变量影响的同时,能深入了解疾病关联。本文提供了图形模型的概述,未侧重于详细方法,突出了它们在理解网络结构和潜在亚组差异(如多病共患模式中与性别相关的差异)方面的效用。