We propose a new graphical model to describe the comorbidity of allergic diseases. We present our model in two versions. First, we introduce a generative model that correctly reflects the variables' causal relationship. Then we propose an approximation of the generative model by another misspecified model that is computationally more efficient and easily interpretable. We will focus on the misspecified version, which we consider more practical. We include in the model two directed graphs, one graph of known dependency between the main binary variables (diseases), and a second graph of the dependence between the occurrence of the diseases and their symptoms. In the model, we also consider additional auxiliary variables. The proposed model is evaluated on a cross-sectional multicentre study in Poland on the ECAP database (www.ecap.pl). An assessment of the stability of the proposed model was obtained using bootstrap and jackknife techniques.

翻译：我们提出了一种新的图模型来描述过敏性疾病的共病性。该模型以两个版本呈现。首先，我们引入了一个能够正确反映变量因果关系的生成模型。随后，我们提出了该生成模型的一个近似模型——一个计算效率更高且易于解释的误设模型。我们将重点放在更实用的误设版本上。模型中包含两个有向图：一个是主要二元变量（疾病）之间已知依赖关系的图，另一个是疾病发生与其症状之间依赖关系的图。此外，我们还考虑了额外的辅助变量。该模型在波兰ECAP数据库（www.ecap.pl）中的一项横断面多中心研究上进行了评估。采用自助法和刀切法对该模型的稳定性进行了评估。