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Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement

In some metrology applications multiple results of measurement for a common measurand are obtained and it is necessary to determine whether the results agree with each other. A result of measurement based on the Guide to the Expression of Uncertainty in Measurement (GUM) consists of a measured value...

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Autores principales: Kacker, Raghu N., Kessel, Rüdiger, Sommer, Klaus-Dieter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2010
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548867/
https://www.ncbi.nlm.nih.gov/pubmed/27134797
http://dx.doi.org/10.6028/jres.115.031
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author Kacker, Raghu N.
Kessel, Rüdiger
Sommer, Klaus-Dieter
author_facet Kacker, Raghu N.
Kessel, Rüdiger
Sommer, Klaus-Dieter
author_sort Kacker, Raghu N.
collection PubMed
description In some metrology applications multiple results of measurement for a common measurand are obtained and it is necessary to determine whether the results agree with each other. A result of measurement based on the Guide to the Expression of Uncertainty in Measurement (GUM) consists of a measured value together with its associated standard uncertainty. In the GUM, the measured value is regarded as the expected value and the standard uncertainty is regarded as the standard deviation, both known values, of a state-of-knowledge probability distribution. A state-of-knowledge distribution represented by a result need not be completely known. Then how can one assess the differences between the results based on the GUM? Metrologists have for many years used the Birge chisquare test as ‘a rule of thumb’ to assess the differences between two or more measured values for the same measurand by pretending that the standard uncertainties were the standard deviations of the presumed sampling probability distributions from random variation of the measured values. We point out that this is misuse of the standard uncertainties; the Birge test and the concept of statistical consistency motivated by it do not apply to the results of measurement based on the GUM. In 2008, the International Vocabulary of Metrology, third edition (VIM3) introduced the concept of metrological compatibility. We propose that the concept of metrological compatibility be used to assess the differences between results based on the GUM for the same measurand. A test of the metrological compatibility of two results of measurement does not conflict with a pairwise Birge test of the statistical consistency of the corresponding measured values.
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spelling pubmed-45488672016-04-29 Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement Kacker, Raghu N. Kessel, Rüdiger Sommer, Klaus-Dieter J Res Natl Inst Stand Technol Article In some metrology applications multiple results of measurement for a common measurand are obtained and it is necessary to determine whether the results agree with each other. A result of measurement based on the Guide to the Expression of Uncertainty in Measurement (GUM) consists of a measured value together with its associated standard uncertainty. In the GUM, the measured value is regarded as the expected value and the standard uncertainty is regarded as the standard deviation, both known values, of a state-of-knowledge probability distribution. A state-of-knowledge distribution represented by a result need not be completely known. Then how can one assess the differences between the results based on the GUM? Metrologists have for many years used the Birge chisquare test as ‘a rule of thumb’ to assess the differences between two or more measured values for the same measurand by pretending that the standard uncertainties were the standard deviations of the presumed sampling probability distributions from random variation of the measured values. We point out that this is misuse of the standard uncertainties; the Birge test and the concept of statistical consistency motivated by it do not apply to the results of measurement based on the GUM. In 2008, the International Vocabulary of Metrology, third edition (VIM3) introduced the concept of metrological compatibility. We propose that the concept of metrological compatibility be used to assess the differences between results based on the GUM for the same measurand. A test of the metrological compatibility of two results of measurement does not conflict with a pairwise Birge test of the statistical consistency of the corresponding measured values. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2010 2010-12-01 /pmc/articles/PMC4548867/ /pubmed/27134797 http://dx.doi.org/10.6028/jres.115.031 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Kacker, Raghu N.
Kessel, Rüdiger
Sommer, Klaus-Dieter
Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title_full Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title_fullStr Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title_full_unstemmed Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title_short Assessing Differences Between Results Determined According to the Guide to the Expression of Uncertainty in Measurement
title_sort assessing differences between results determined according to the guide to the expression of uncertainty in measurement
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548867/
https://www.ncbi.nlm.nih.gov/pubmed/27134797
http://dx.doi.org/10.6028/jres.115.031
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