将调查权重应用于顺序回归模型,以改善依赖结果的样本与顺序结果的结论
Aya A Mitani1, Osvaldo Espin-Garcia1,2,3,4, Daniel Fernández5
1Dalla Lana School of Public Health, University of Toronto, ON, Canada.
Statistical methods in medical research
|October 23, 2024
概括
调查加权顺序回归模型准确地估计了在取样依赖结果的研究中暴露-结果关联. 权重纠正像刻板印象模型和相邻类别逻辑模型这样的模型中的偏差.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 流行病学 流行病学
背景情况:
- 取决于结果的抽样在研究中很常见,特别是对二元结果的病例对照研究.
- 标准顺序回归模型在取样分数取决于顺序结果变量时产生偏差的结果.
- 这种偏差需要强大的方法来分析在这种采样设计下的顺序结果.
研究的目的:
- 评估调查加权顺序回归模型的性能,以处理取决于结果的抽样.
- 为了比较四个顺序回归模型 (刻板印象,相邻类别,延续比率,累积逻辑) 带有和没有采样权重.
- 确定最可靠的模型来估计在偏差采样下与顺序结果的暴露结果关联.
主要方法:
- 进行了广泛的模拟研究,以评估模型性能.
- 采用了调查加权模型,其权重与采样分数成反比例.
- 我们比较了四种顺序回归模型:刻板印象 (SM),相邻类别 (AC),延续比率 (CR) 和累积逻辑 (CM).
主要成果:
- 权重模型 (SM,AC,CR,CM) 在所有情景中显示回归系数的偏差可忽略不计.
- 未加权模型显示偏差,特别是在拦截,除了SM和AC模型在大多数场景中.
- 权重的SM和AC模型比未加权的对应模型具有较低的相对根平均平方误差.
- 在加权CR和CM模型中,在类别分布不均的特定场景中也显示出更高的精度.
结论:
- 调查加权的顺序回归模型有效地减轻了暴露结果关联研究中的偏差,并采用了结果依赖的抽样.
- 推加权立体模型和相邻类型的逻辑模型,因为它们的准确性和精确性.
- 这些加权方法为顺序结果提供可靠的估计,即使采用复杂的抽样设计,如膝关节关节炎研究所示.
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