功能主要组件分析作为混合效应模型的替代方案,用于描述缺失数据存在时稀疏重复的测量
Corentin Ségalas1, Catherine Helmer2, Robin Genuer1
1Univ. Bordeaux, INSERM, INRIA, BPH, U1219, Bordeaux, France.
Statistics in medicine
|September 9, 2024
概括
功能主要组件分析 (FPCA) 有效地分析稀疏的纵向健康数据,在随机缺失的数据方面表现良好. 然而,它与系统或缺失的非随机数据扎,类似于混合效应模型.
科学领域:
- 生物统计学 生物统计学
- 纵向数据分析 纵向数据分析
- 神经科学是一个神经科学.
背景情况:
- 分析纵向健康数据带来了诸如稀疏,容易出错的测量,个体内相关性,缺失的数据和各种轨迹形状等挑战.
- 混合效应模型 (MM) 是参数的,有效的,但计算密集的.
- 功能主要组件分析 (FPCA) 是密集数据的非参数替代方案,提供灵活性和潜在的较低计算成本.
研究的目的:
- 用稀疏,容易出错的纵向数据实证评估FPCA的表现,以及在各种缺失数据方案下其稳定性.
- 将FPCA的行为与混合效应模型 (MM) 的行为进行比较.
- 在基于人口的老龄化队列研究中,将FPCA应用于认知功能轨迹.
主要方法:
- 进行了一项实证模拟研究,以稀疏,易出错的重复测量来评估FPCA的行为.
- 根据不同的缺失数据机制 (随机缺失和非随机缺失) 测试FPCA的稳定性.
- FPCA用于分析基于人口的老龄化队列中的病例对照研究中的认知轨迹.
主要成果:
- 由于学,FPCA证明了适用于随机缺失 (MAR) 数据的适用性,除了频繁或系统性学的情况下.
- 与MM一样,FPCA在缺失非随机 (MNAR) 机制下被发现失败.
- 对认知轨迹的分析显示,未来的痴呆病例在诊断前5至2.5年呈现下降的急剧加速,与对照群不同.
结论:
- FPCA是一种可行的非参数方法,用于分析稀疏的纵向健康数据,特别是当数据随机丢失时.
- FPCA的局限性反映了MM的局限性,即不随机丢失的数据.
- 在一个老龄化的队列中,FPCA成功地确定了在痴呆症诊断之前的明显的认知衰退轨迹.
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