一种高效的估计方法,用于对纵向和生存数据的联合建模
Jody Krahn1, Shakhawat Hossain1, Shahedul Khan2
1Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, MB, Canada.
Journal of applied statistics
|November 16, 2023
概括
本研究介绍了对纵向和生存数据的联合模型的预测和收缩估计方法. 这些方法改善了参数估计和变量选择,这对于医学研究中可靠的统计分析至关重要.
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:
- 纵向和生存数据的联合模型越来越多地用于医学和流行病学研究.
- 这些模型通常将线性混合效应模型用于重复测量和Cox模型用于生存时间的整合.
- 高效的参数估计和变量选择是关键的,但在当前的联合建模文献中是欠发达的领域.
研究的目的:
- 开发和评估预测和收缩估计方法,以共同建模纵向和生存数据.
- 为了应对变量选择和参数估计方面的挑战,当一些共变量可能无法预测生存时间时.
- 为复杂的生物医学数据提供可靠的统计分析.
主要方法:
- 通过结合全模型和受限制子集模型估计器,提出了预测和收缩估计器.
- 通过使用线性假设限制参数来定义估计器.
- 使用数值平均二次误差 (MSE) 和相对MSE进行评估的性能.
主要成果:
- 证明了收缩估计器在收缩维度超过2时,与完整模型估计器相比,风险降低.
- 通过数值MSE计算量化拟议方法的性能.
- 通过广泛的模拟研究和真实数据示例,验证了拟议方法的有效性.
结论:
- 开发的预测和收缩方法提高了联合纵向生存模型中的参数估计和变量选择.
- 这些方法为医学和流行病学研究中的统计分析提供了更可靠的方法.
- 这些发现表明,在分析复杂的纵向和生存数据时,统计准确性和效率有所提高.
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