An improved procedure for combining Type A and Type B components of measurement uncertainty

An improved procedure for combining Type A and Type B components of measurement uncertainty
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组合测量不确定度的 A 类和 B 类分量的改进程序

DOI:
10.1051/ijmqe/2012038
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发表时间:
2013
影响因子:
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通讯作者:
R. Willink
R. Willink
中科院分区:
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文献类型:
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作者:
R. Willink

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《测量不确定度表示指南》描述了一种评估测量不确定度的方法,该方法涉及将基本方差归因于总测量误差的每个分量。通过统计方法评估此类方差称为A型不确定度评估,而通过任何其他方式进行的评估称为B型评估。自由度与A型评价的相关性符合统计理论。然而,B类评估中使用“自由度”主要是为了实用性而开发的一个想法,并且可能会得到改进。这种想法忽略了这样一个事实,即相应误差的潜在分布通常被假设为比正态分布更钝,就像均匀分布一样,它可能导致低估总误差方差。因此,提出了B类评价的替代概念。由此产生的分析很容易与使用的自由度在A型评价,并导致一个整体的评价方法,往往允许适当的报价较短的不确定性区间。
The Guide to the Expression of Uncertainty in Measurement describes a method of evaluating measurement uncertainty that involves attributing an underlying variance to each component of the total measurement error. Assessment of such a variance by statistical methods is known as Type A evaluation of uncertainty, while assessment by any other means is known as Type B evaluation. The involvement of degrees of freedom with Type A evaluation is in accordance with statistical theory. However, the use of “degrees of freedom” with Type B evaluation is an idea primarily developed for practicality, and might be improved upon. That idea ignores the fact that the underlying distribution of the corresponding error will often be assumed to be blunter than normal, as with a uniform distribution, and it can lead to underestimation of the total error variance. Consequently, an alternative concept for Type B evaluation is presented. The resulting analysis fits easily with the use of degrees of freedom in Type A evaluation and leads to an overall method of evaluation that often permits the proper quotation of shorter uncertainty intervals.