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Validating the applicability of the GUM procedure.

Cox, M G; Harris, P M (2014) Validating the applicability of the GUM procedure. Metrologia, 51 (4). S167-S175

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International Standard ISO 17025:2005 states that the degree of rigour needed in an estimation of uncertainty of measurement depends on several factors including the requirements of the customer. So, generally to deliver a measurement result acceptable to a customer requires a degree of assurance in its quality. We investigate the extent to which such assurance can be given in applying the Guide to the expression of uncertainty in measurement (GUM). For many practical cases, a measurement result incorporating an evaluated uncertainty that is correct to one significant decimal digit would be acceptable.
Accordingly, attention is given in published GUM Supplements and in the GUM revision process to quantifying the numerical precision of an uncertainty statement provided by following those documents. Any such quantification is naturally relative to the adequacy of the measurement model and the knowledge used about the input quantities in that model. For general univariate and multivariate measurement models, we emphasize the use of a Monte Carlo method, as recommended in GUM Supplements 1 and 2. One use of this method is as a benchmark in terms of which measurement results provided by the GUM can be assessed in any particular instance. For measurement models that are linear in the input quantities and for which the probability distributions for those quantities are independent, we indicate the use of other approaches such as convolution methods based on the fast Fourier transform and Chebyshev polynomials as benchmarks.

Item Type: Article
Keywords: GUM, uncertainty, validation, Chebfun
Subjects: Mathematics and Scientific Computing
Mathematics and Scientific Computing > Measurement Uncertainties
Identification number/DOI: 10.1088/0026-1394/51/4/S167
Last Modified: 02 Feb 2018 13:13
URI: http://eprintspublications.npl.co.uk/id/eprint/6236

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