Abstract

In this article, we present a gauge R & R study that is different from the standard setup in several ways. A balanced incomplete block design (BIBD) was used to collect the data because the measurement is destructive. Besides addressing reproducibility, differences in repeatability (i.e., tester variances) were also of interest. Here we use Bayesian methods to analyze the study data to address whether the three tester means and variances are similar. We also consider what happens if the BIBD structure of the data and possibly different tester variances are ignored in analyzing the study data.

中文翻译：

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案例研究：在平衡的不完全区组设计中比较测试器的均值和方差

摘要

在本文中，我们提出了一项在几个方面不同于标准设置的规范 R&R 研究。由于测量具有破坏性，因此使用平衡不完全区组设计 (BIBD) 来收集数据。除了解决重现性问题外，重现性的差异（即测试仪差异）也令人感兴趣。这里我们使用贝叶斯方法来分析研究数据，以解决三个测试器的均值和方差是否相似。我们还考虑如果在分析研究数据时忽略数据的 BIBD 结构和可能不同的测试者差异会发生什么。