用集成嵌套拉普拉斯近似来处理缺失数据和测量误差的联合贝叶斯框架
Emma Skarstein1, Sara Martino1, Stefanie Muff1,2
1Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway.
Biometrical journal. Biometrische Zeitschrift
|September 22, 2023
概括
本研究引入了一个统一的贝叶斯框架,同时解决测量误差 (ME) 和回归共变量中缺失的数据. 该方法利用集成嵌套拉普拉斯近似 (INLA) 进行可靠的数据分析.
科学领域:
- 统计建模 统计建模
- 数据分析方法论数据分析方法论
背景情况:
- 测量误差 (ME) 和缺失数据是统计分析中常见的挑战.
- 现有的方法通常将ME和缺失数据视为单独的问题,尽管它们有理论上的联系.
- 在回归共变量中考虑ME并不像处理缺失数据那么常见.
研究的目的:
- 开发一个统一的贝叶斯框架,同时处理ME和连续共变量的缺失数据.
- 扩展现有的ME方法,将缺失的数据纳入ME的极端病例.
- 提供适用于各种ME类型 (经典,伯克森) 和回归模型中的缺失数据场景的灵活方法.
主要方法:
- 使用贝叶斯框架与集成嵌套拉普拉斯近似 (INLA).
- 利用缺少数据与经典医学理论之间的关系.
- 开发INLA内部处理缺失数据的方法,适用于当没有ME存在时.
- 将Berkson ME纳入同一个贝叶斯框架.
主要成果:
- 在同一个共变量中,证明了对ME和缺失数据的同时会计.
- 展示了一种处理INLA中缺少数据的方法,作为ME的特殊案例.
- 扩大了框架,包括伯克森 ME.
- 联合贝叶斯框架容纳了ME和缺失数据在连续共变量中的组合.
结论:
- 拟议的联合贝叶斯框架为ME和回归模型中缺少的数据提供了统一的解决方案.
- 该方法是多功能性的,处理经典ME,伯克森ME和缺失数据,单独或组合.
- 该方法以模拟和真实数据为例,并以可重复的R-INLA和实验室实例为支持.
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