Proficiency Testing (PT) determines the performance of individual laboratories for specific tests or measurements and it is used to monitor the reliability of laboratories measurements. PT plays a highly valuable role as it provides an objective evidence of the competence of the participant laboratories. In this paper, we propose a multivariate model to assess equivalence among laboratories measurements in proficiency testing. Our method allow to include type B source of variation and to deal with multivariate data, where the item under test is measured at different levels. Although intuitive, the proposed model is nonergodic, which means that the asymptotic Fisher information matrix is random. As a consequence, a detailed asymptotic analysis was carried out to establish the strategy for comparing the results of the participating laboratories. To illustrate, we apply our method to analyze the data from the Brazilian Engine test group, PT program, where the power of an engine was measured by 8 laboratories at several levels of rotation.

翻译：能力测试(PT)确定个别实验室具体测试或测量的性能,并用来监测实验室测量的可靠性;PT发挥了非常宝贵的作用,因为它为参与实验室的能力提供了客观证据;在本文件中,我们提议了一个多变量模型,用以评估实验室测量能力测试的等同性;我们的方法包括B类变异源,并处理多变量数据,测试中的项目在不同级别上测量;虽然不直观,但拟议的模型是非遗传的,这意味着非实时渔业信息矩阵是随机的;因此,进行了详细的抽查分析,以制定比较参与实验室结果的战略;为了说明,我们采用我们的方法分析巴西发动机测试组(PT方案)的数据,在那里,发动机的功率由不同级别的8个实验室轮流测量。