评估邻居结构在贝叶斯病映射中的影响
Minh Hanh Nguyen1,2, Thomas Neyens1,3, Andrew B Lawson4,5
1Data Science Institute, I-BioStat, Hasselt University, Hasselt, Belgium.
Journal of applied statistics
|March 5, 2026
概括
对于使用微量级数据进行贝叶斯病映射,在条件自回归模型中,一个简单的第一阶邻域结构的性能与更高阶结构相比,节省了计算时间.
科学领域:
- 空间统计的空间统计.
- 流行病学 流行病学
- 计算统计的计算统计.
背景情况:
- 定义邻里结构对于使用条件自回归 (CAR) 模型绘制贝叶斯病映射至关重要.
- 关于社区结构如何影响模型性能与微量级数据的研究很少.
研究的目的:
- 评估不同社区结构对CAR模型性能对细度疾病映射的影响.
- 用比利时林堡的COVID-19死亡数据来比较社区结构.
主要方法:
- 模拟2020年COVID-19死亡率与使用BYM和BYM2模型在小区域的流行前率.
- 实施了三个皇后社区结构 (高达五级) 和两个权重方案.
- 进行了一项模拟研究,以评估空间相关性复制,并使用WAIC,适合性,参数估计和计算时间对比模型.
主要成果:
- 基于顺序的重量矩阵表现优于二进制矩阵.
- 一级邻里结构显示了与更高阶结构可比的性能,但计算时间显著减少.
- 比YM2模型,比YM2模型对社区结构选择的敏感度更高.
结论:
- 高阶邻域矩阵在贝叶斯病测绘中提供了最小的优势,使用微量级数据.
- 在这种情况下,一个简单的第一阶级社区结构是对CAR模型的务实和合适的选择.
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