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.

翻译：本研究针对协作研究中二元测量方法的精度分析，提出了一种新的统计模型与方法。该模型基于Beta二项分布，即假设各实验室的灵敏度服从Beta分布，而在给定灵敏度下的二元测量值服从二项分布。我们提出了该模型下重复性与再现性这两个关键精度指标，并给出了它们的无偏估计量。此外，通过综合考虑多种比例齐性统计检验方法，我们提出了适用于新模型中实验室效应判定的合适方法。最后，我们将研究成果应用于食品安全及化学风险评估与管理领域的实际案例中。