复杂调查数据的贝叶斯增长混合模型:对灾后创伤后应激障碍的轨迹进行聚类
Rebecca Anthopolos1, Qixuan Chen2, Joseph Sedransk3
1Division of Biostatistics, Department of Population Health, New York University Grossman School of Medicine.
The annals of applied statistics
|March 9, 2026
概括
这项研究为复杂的调查数据引入了贝叶斯增长混合模型 (GMM),与传统方法相比,提供了减少偏差和提高效率. 该方法有效地识别了风艾克之后的创伤后应激障碍 (PTSD) 轨迹.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 调查方法 调查方法
背景情况:
- 增长混合模型 (GMMs) 在复杂的调查数据中未得到充分利用.
- 现有的伪概率方法可能会由于调查权重导致效率下降.
- 复杂的样本设计 (分层,聚类) 需要专门的分析方法.
研究的目的:
- 提出一个包含复杂样本设计特征的贝叶斯式GMM.
- 提高估计偏差和调查数据分析效率.
- 在受风影响的人群中分析纵向创伤后应激障碍 (PTSD) 轨迹.
主要方法:
- 开发了一个贝叶斯式GMM,将样本设计特征作为共变量或方差元件.
- 实现了一个高效的Gibbs采样器,具有封闭形式的条件分布.
- 将模型应用于加尔维斯顿湾恢复研究 (GBRS) 的数据,采用分层的多阶段集群设计.
主要成果:
- 在德克萨斯州东南部居民中确定了四个临床上有意义的PTSD轨迹子组. 风Ike之后.
- 与不同的PTSD轨迹子组成员关系相关的特征风险因素.
- 与伪概率方法相比,已经证明了减少偏差和提高效率的潜力.
结论:
- 拟议的贝叶斯式GMM为分析复杂的调查数据提供了一个强大的框架.
- 该方法在减少偏差和提高效率方面具有优势,特别是当设计特征具有信息性时.
- 一个附带的R包,Bsvygmm,可用于实际实施.
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