A practical two-step procedure for taking into account all available information (prior and current) about influence quantities in measurement uncertainty analysis

IF 0.8 4区工程技术 Q4 CHEMISTRY, ANALYTICAL

Accreditation and Quality Assurance Pub Date : 2024-03-23 DOI:10.1007/s00769-024-01583-0

Hening Huang

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引用次数: 0

Abstract

This paper considers the problem of computing the combined standard uncertainty of an indirect measurement, in which the measurand is related to multiple influence quantities through a measurement model. In practice, there may be prior information or current information, or both, about the influence quantities. We propose a practical two-step procedure for taking into account all available information (prior and current) about influence quantities in measurement uncertainty analysis. The first step is to combine prior and current information to form the merged information for each influence quantity based on the weighted average method or the law of combination of distributions. The second step deals with the propagation of the merged information to calculate the combined standard uncertainty using the law of propagation of uncertainty or the principle of propagation of distributions. The proposed two-step procedure is based entirely on frequentist statistics. A case study on the calibration of a test weight (mass calibration) is presented to demonstrate the effectiveness of the proposed two-step procedure and compare it with a subjective Bayesian approach.

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在测量不确定性分析中考虑有关影响量的所有可用信息（先验信息和当前信息）的实用两步程序

本文探讨了计算间接测量的综合标准不确定度的问题，在间接测量中，测量值通过测量模型与多个影响量相关。在实践中，可能存在关于影响量的先验信息或当前信息，或两者兼而有之。我们提出了一个实用的两步程序，用于在测量不确定度分析中考虑有关影响量的所有可用信息（先验信息和当前信息）。第一步是根据加权平均法或分布组合法，合并先验信息和当前信息，形成每个影响量的合并信息。第二步是对合并信息进行传播，利用不确定度传播定律或分布传播原理计算综合标准不确定度。建议的两步程序完全基于频数统计。本文介绍了一个校准测试砝码（质量校准）的案例研究，以证明所建议的两步程序的有效性，并将其与主观贝叶斯方法进行比较。

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

Accreditation and Quality Assurance 工程技术-分析化学

CiteScore

1.80

自引率

22.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Accreditation and Quality Assurance has established itself as the leading information and discussion forum for all aspects relevant to quality, transparency and reliability of measurement results in chemical and biological sciences. The journal serves the information needs of researchers, practitioners and decision makers dealing with quality assurance and quality management, including the development and application of metrological principles and concepts such as traceability or measurement uncertainty in the following fields: environment, nutrition, consumer protection, geology, metallurgy, pharmacy, forensics, clinical chemistry and laboratory medicine, and microbiology.