一个连续时间动态因子模型,用于从移动健康研究中产生的强度纵向数据.
Madeline R Abbott1, Walter H Dempsey1, Inbal Nahum-Shani2
1Department of Biostatistics, https://ror.org/00jmfr291University of Michigan, Ann Arbor, MI, USA.
Psychometrika
|June 16, 2025
概括
本研究引入了一个动态因子模型来分析来自移动健康 (mHealth) 研究的密集纵向数据 (ILD). 该模型将复杂的情绪动态简化为可解释的潜在过程,以获得更好的行为科学见解.
科学领域:
- 心理学 心理学 心理学
- 统计 统计 统计 统计
- 移动健康服务提供者
背景情况:
- 来自移动健康 (mHealth) 研究的密集纵向数据 (ILD) 为动态结果提供了丰富的见解.
- 分析多变量纵向结果需要复杂的统计模型.
研究的目的:
- 开发一个动态因子模型来将ILD总结为低维的,可解释的潜伏过程.
- 用一个Ornstein-Uhlenbeck (OU) 随机过程来捕捉多变量潜伏过程的连续时间动态.
主要方法:
- 一个动态因子模型,结合了因子分析测量子模型和OU随机过程结构子模型.
- 计算效率的封闭形式概率和稀疏精度矩阵的推导.
- 一个区块坐标下降算法用于模型估计,通过模拟研究验证.
主要成果:
- 提出的动态因子模型有效地总结了复杂的ILD.
- 模拟研究表明,ILD的估计算法具有良好的统计特性.
- 对mHealth数据的应用揭示了可解释的潜伏因素,总结了18种情绪的动态.
结论:
- 动态因子模型为分析mHealth数据中的情绪动态提供了一个强大的工具.
- 该模型有助于解释瞬间的情绪和潜在的心理状态.
- 这些发现可以推进关于情绪动态和心理状态的行为科学理论.
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