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置信区间比较:LLOQ影响数据中最大概率估计的精度
Tanja Bülow1, Ralf-Dieter Hilgers1, Nicole Heussen1,2
1Department of Medical Statistics, RWTH Aachen University, Aachen, Germany.
PloS one
|November 2, 2023
概括
使用低于量化下限 (LLOQ) 的数据来估计分布参数具有挑战性. 使用受审查的样本估计的引导置信区间 (CI) 对LLOQ受影响的数据提供了较好的精度,而非对称的CI则更精确.
科学领域:
- 生物统计学 生物统计学
- 统计建模 统计建模
- 分析化学 分析化学
背景情况:
- 低于量化下限 (LLOQ) 的数据在参数估计和精度评估方面存在挑战.
- 准确处理无法量化的观测对于可靠的统计推断至关重要.
- 处理LLOQ数据的现有方法需要对不同的分布假设进行仔细评估.
研究的目的:
- 评估受LLOQs影响的正常,指数和波桑分布的平均值的审查样本最大概率估计的精度.
- 使用覆盖比例和间隔宽度来比较非对称和偏差校正的加速启动信任区间 (CI) 的性能.
- 评估不同比例的不可量化观测对CI性能的影响.
主要方法:
- 进行了一项模拟研究,以比较非对称和引导CI的平均值.
- 最大概率估计的分析表达式用于指数和波松分布.
- 经过审查的样本和简单的归算方法被用来解释LLOQs,审查数据的比例各不相同.
主要成果:
- 基于受审查的样本估计的BootstrapCI显示了比非对称CI更高的覆盖率和更窄的间隔宽度.
- 性能因分布而异;正常性假设数据受到高比例无法量化的观察结果的影响最大.
- 由于偏差较低,审查样本估计比简单的归算更可取,这提高了CI覆盖率.
结论:
- 引导式CI提供了一种更精确,更可靠的方法来估计各种分布中受LLOQ影响的数据的平均值.
- 建议使用受审查的样本方法来推导对置信区间的点估值.
- 这项研究为有效处理受LLOQ影响的数据提供了广泛可用的工具.
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