基于beta-binomial分布的二元测量方法精度分析模型及相关统计检验方法
A model and method for analyzing the precision of binary measurement methods based on beta-binomial distributions, and related statistical tests
AI总结：
本文提出基于beta-binomial分布的二元测量方法精度分析模型，引入重复性和再现性度量，并通过实际案例验证其在食品安全和化学风险评估中的应用。
摘要：
本研究开发了一种新的统计模型和方法，用于分析协作研究中二元测量方法的精度。该模型基于beta-binomial分布。换句话说，它假设每个实验室的灵敏度服从beta分布，而在给定灵敏度下二元测量值服从二项分布。我们提出了该模型的关键精度度量——重复性和再现性，并提供了其无偏估计。进一步地，通过考虑多种比例齐性检验方法，我们提出了确定新模型中实验室效应的适当方法。最后，我们将结果应用于食品安全和化学风险评估与管理领域的实际案例。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
