对一般化的线性混合模型的贝叶斯模型选择
Shuangshuang Xu1, Marco A R Ferreira1, Erica M Porter1
1Department of Statistics, Virginia Tech, Blacksburg, Virginia, USA.
Biometrics
|June 27, 2023
概括
本研究引入了针对一般化线性混合模型 (GLMMs) 的新贝叶斯模型选择,使用伪概率近似和分数贝叶斯因子来进行复杂数据分析中准确的模型比较.
科学领域:
- 统计 统计 统计 统计
- 计算统计学 计算统计学
背景情况:
- 通用线性混合模型 (GLMMs) 对于分析复杂的数据结构,如纵向,基因组和空间数据至关重要.
- 对于GLMMs来说,模型选择是具有挑战性的,因为整合随机效应的难以解决.
研究的目的:
- 为GLMMs开发一个强大的贝叶斯模型选择方法.
- 用伪概率近似来解决随机效应整合的分析难度.
- 提供一个灵活的框架来比较各种统计应用中的协差结构.
主要方法:
- 一个贝叶斯模型选择框架的GLMM使用伪概率近似的综合概率.
- 实施分数贝叶斯因子来推导后期模型概率,适应固定效应的不当先验.
- 考虑各种随机效应的共变性结构,包括空间和过度分散元件.
主要成果:
- 模拟研究表明,与Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.Poisson GLMMs.
- 该方法有效地处理模拟数据中的空间随机效应和过度分散.
- 涉及纵向和空间模型的案例研究证实了该方法的实际实用性和灵活性.
结论:
- 提出的贝叶斯模型选择方法为GLMM分析提供了可靠和灵活的替代方案.
- 分数贝叶斯因子方法提供了准确的后置模型概率,增强了模型比较.
- R包GLMMselect便于应用这种先进的统计方法.
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