Interfaculty Institute of Mathematics and Statistics, Calisia University-Kalisz, 62-800 Kalisz, Poland.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, 61-614 Poznań, Poland.
Int J Environ Res Public Health. 2021 Jan 27;18(3):1109. doi: 10.3390/ijerph18031109.
The aim of this study was to investigate if the provinces of Poland are homogeneous in terms of the observed spatio-temporal data characterizing the health situation of their inhabitants. The health situation is understood as a set of selected factors influencing inhabitants' health and the healthcare system in their area of residence. So far, studies concerning the health situation of selected territorial units have been based on data relating to a specific year rather than longer periods. The task of assessing province homogeneity was carried out in two stages. In stage one, the original spatio-temporal data space (space of multivariate time series) was transformed into a functional discriminant coordinates space. The resulting functional discriminant coordinates are synthetic measures of the health situation of inhabitants of particular provinces. These measures contain complete information regarding 8 diagnostic variables examined over a period of 6 years. In the second stage, the Ward method, commonly used in cluster analysis, was applied in order to identify groups of homogeneous provinces in the space of functional discriminant coordinates. Sixteen provinces were divided into four clusters. The homogeneity of the clusters was confirmed by the multivariate functional coefficient of variation.
本研究旨在探讨波兰各省在描述居民健康状况的时空数据方面是否具有同质性。健康状况被理解为一组影响居民健康和其居住地区医疗保健系统的选定因素。到目前为止，关于特定地区卫生状况的研究都是基于特定年份的数据，而不是更长时间的数据。评估省份同质性的任务分两个阶段进行。在第一阶段，原始的时空数据空间（多元时间序列空间）被转换为功能判别坐标空间。所得的功能判别坐标是特定省份居民健康状况的综合指标。这些指标包含了 6 年期间 8 个诊断变量的完整信息。在第二阶段，应用了聚类分析中常用的 Ward 方法，以便在功能判别坐标空间中识别同质省份的群组。16 个省被分为四个集群。通过多变量功能变异系数验证了集群的同质性。
