论文标题

一种模型和方法,用于分析基于β-二项式分布以及相关统计测试的二进制测量方法的精度

A model and method for analyzing the precision of binary measurement methods based on beta-binomial distributions, and related statistical tests

论文作者

Takeshita, Jun-ichi, Suzuki, Tomomichi

论文摘要

这项研究开发了一种新的统计模型和方法,用于分析合作研究中二进制测量方法的精度。该模型基于β-二元分布。换句话说,它假设每个实验室的灵敏度都要服从β分布,并且在给定灵敏度下的二元测量值遵循二项式分布。我们提出了该模型可重复性和可重复性的关键精度测量,并提供了公正的估计。此外,通过考虑多种比例均匀性的统计测试方法,我们提出了适当的方法来确定新模型中的实验室效应。最后,我们将结果应用于食品安全和化学风险评估和管理领域的实际例子。

This study developed a new statistical model and method for analyzing the precision of binary measurement methods from collaborative studies. The model is based on beta-binomial distributions. In other words, it assumes that the sensitivity of each laboratory obeys a beta distribution, and the binary measured values under a given sensitivity follow a binomial distribution. We propose the key precision measures of repeatability and reproducibility for the model, and provide their unbiased estimates. Further, through consideration of a number of statistical test methods for homogeneity of proportions, we propose appropriate methods for determining laboratory effects in the new model. Finally, we apply the results to real-world examples in the fields of food safety and chemical risk assessment and management.

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