使用替代性马模型对右倾数据的更好的性能
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Peter Veazie1,2, Orna Intrator3,4, Bruce Kinosian5,6
1Canandaigua Veterans Affairs Medical Center, 400 Fort Hill Ave., Canandaigua, New York, 14424, USA. peter_veazie@urmc.rochester.edu.
BMC medical research methodology
|December 15, 2023
概括
一个新的马分布模型,其中变量与平均值成比例,为经济学和医疗保健中的右倾数据提供了改进的估计. 这种替代规范减少了偏差,并提高了与标准模型相比的预测准确性.
科学领域:
- 计量经济学 计量经济学
- 生物统计学 生物统计学
- 医疗保健服务研究 医疗服务研究
背景情况:
- 对于玛分布的标准最大概率估计器 (MLE) 假设差异与平均值的平方成比例.
- 这种假设在对右倾经济和医疗保健数据 (如成本和等待时间) 的建模中很普遍.
- 提出了一个替代的玛规范,其中变量与平均值成正比.
研究的目的:
- 为了评估与标准模型相比,替代性玛规范的性能.
- 用模拟来比较参数偏差,标准误差和分布偏差.
- 通过使用现实世界医疗保健成本数据来评估模型适合性和预测准确性.
主要方法:
- 进行模拟实验,以调查两种玛规格的有限样本特性.
- 利用美国退伍军人事务部 (VA) 的医疗保健成本数据进行实证比较.
- 基于R平方,根平均平方误差和平均余值的评估模型.
主要成果:
- 模拟表明,与标准模型相比,替代性玛规范产生了较少的参数偏差,较低的标准误差和较少的斜率.
- 对VA医疗保健成本的实证分析表明,对于替代规范来说,模型适合性优越 (R-squared更高) 和预测性性能 (RMSE更低,残留量更小).
- 替代模型显示,对右倾连续变量来说,估计准确度更高.
结论:
- 替代性马规范为经济学和医疗保健中的右倾连续变量建模提供了有价值的工具.
- 这种方法在估计准确性和预测能力方面比传统的马模型具有优势.
- 研究人员应该考虑这种替代规范,以改善对偏斜数据的分析.
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