Hypothesis-based Acceptance Sampling for Modules F and F1 of the European Measuring Instruments Directive

IF 1.5 Q2 SOCIAL SCIENCES, MATHEMATICAL METHODS
K. Klauenberg, Cord A. Müller, C. Elster
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Abstract

Abstract Millions of measuring instruments are verified each year before being placed on the markets worldwide. In the EU, such initial conformity assessments are regulated by the Measuring Instruments Directive (MID). The MID modules F and F1 on product verification allow for statistical acceptance sampling, whereby only random subsets of instruments need to be inspected. This article re-interprets the acceptance sampling conditions formulated by the MID. The new interpretation is contrasted with the one advanced in WELMEC guide 8.10, and three advantages have become apparent. First, an economic advantage of the new interpretation is a producers’ risk bounded from above, such that measuring instruments with sufficient quality are accepted with a guaranteed probability of no less than 95%. Second, a conceptual advantage is that the new MID interpretation fits into the well known, formal framework of statistical hypothesis testing. Thirdly, the new interpretation applies unambiguously to finite-sized lots, even very small ones. We conclude that the new interpretation is to be preferred and suggest re-formulating the statistical sampling conditions in the MID. Re-interpreting the MID conditions implies that currently available sampling plans are either not admissible or not optimal. We derive a new acceptance sampling scheme and recommend its application. Supplementary materials for this article are available online.
欧洲测量仪器指令模块F和F1的基于假设的验收抽样
摘要每年有数百万种测量仪器在投放全球市场之前经过验证。在欧盟,此类初始符合性评估受测量仪器指令(MID)的监管。产品验证的MID模块F和F1允许进行统计验收抽样,因此只需要检查仪器的随机子集。本文重新解释了MID制定的验收抽样条件。将新的解释与WELMEC指南8.10中提出的解释进行了对比,三个优点变得明显。首先,新解释的一个经济优势是生产者的风险由上而下,因此,质量足够的测量仪器被接受,保证概率不低于95%。其次,一个概念上的优势是,新的MID解释符合众所周知的统计假设检验的正式框架。第三,新的解释明确适用于有限规模的地块,即使是非常小的地块。我们得出的结论是,新的解释是首选的,并建议重新制定MID中的统计抽样条件。重新解释MID条件意味着当前可用的抽样计划要么不可接受,要么不是最佳的。我们推导了一种新的验收抽样方案,并推荐了它的应用。本文的补充材料可在线获取。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Statistics and Public Policy
Statistics and Public Policy SOCIAL SCIENCES, MATHEMATICAL METHODS-
CiteScore
3.20
自引率
6.20%
发文量
13
审稿时长
32 weeks
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