在高维回归中选择变量的简单信息标准
Matthieu Pluntz1, Cyril Dalmasso2, Pascale Tubert-Bitter1
1High-Dimensional Biostatistics for Drug Safety and Genomics, CESP, Université Paris-Saclay, UVSQ, Université Paris-Sud, Inserm, Villejuif, France.
Statistics in medicine
|December 12, 2024
概括
我们介绍了扩展的AIC (EAIC),这是一个用于高维回归中稀疏模型选择的新标准. 与AIC和BIC不同,EAIC控制虚假阳性率,提高了变量选择的准确性.
科学领域:
- 统计 统计 统计 统计
- 生物信息学是一种生物信息学.
- 药物监督 药物监督 药物监督
背景情况:
- 在基因组学和药物研究中常见的高维回归需要选择稀疏的回归器.
- 由于在变量选择中未解决多重测试,AIC和BIC等现有标准过于自由.
研究的目的:
- 提出一个新的信息标准,扩展AIC (EAIC),用于在高维回归中进行强大的稀疏模型选择.
- 为了确保在变量选择中进行非对称的家庭智能错误率 (FWER) 控制.
主要方法:
- 开发了扩展的AIC (EAIC) 公式,包括日志概率,模型大小,总候选回归器和FWER目标.
- 在线和物流回归设置中的模拟中使用LASSO对AIC,BIC,mBIC,mAIC和EBIC进行EAIC的评估.
- 应用EAIC检测药物监督数据中的不良药物反应信号.
主要成果:
- 在各种回归设置中,EAIC证明了有效的FWER控制,与AIC和BIC不同,AIC和BIC显示了许多虚假阳性.
- 与其他标准相比,模拟研究证实了EAIC的优越变量选择性能.
- 该方法证明有效地从现实世界药监数据中识别潜在的不良药物反应.
结论:
- 扩展的AIC (EAIC) 为高维回归中的稀疏模型选择提供了一个统计学上合理的方法.
- EAIC提供了更高的准确性和对错误阳性结果的控制,这对于基因组分析和药物监管等应用至关重要.
- 在复杂的数据集中,EAIC是自动信号检测和可靠的变量选择的宝贵工具.
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