This article introduces tools to analyze set-valued data statistically. The tools were initially developed to analyze results from an interlaboratory comparison made by the Electromagnetic Compatibility Working Group of Eurolab France, where the goal was to select a consensual set of injection points on an electrical device. Families based on the Hamming-distance from a consensus set are introduced and Fisher's noncentral hypergeometric distribution is proposed to model the number of deviations. A Bayesian approach is used and two types of techniques are proposed for the inference. Hierarchical models are also considered to quantify a possible within-laboratory effect.

翻译：本文介绍用于统计分析集合值数据的工具。这些工具最初是为分析法国Eurolab电磁兼容工作组开展的实验室间比对结果而开发的，其目标是在电气设备上选择一组共识性的注入点。研究引入了基于与共识集合汉明距离的族系，并提出采用费希尔非中心超几何分布来建模偏差数量。通过贝叶斯方法进行推断，并提出两种类型的技术。同时考虑采用分层模型来量化可能存在的实验室内效应。