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Statistical interpretation of key comparison degrees of equivalence based on distributions of belief

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Blaza Toman

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SHORT COMMUNICATION

The Mutual Recognition Arrangement (MRA) requires the calculation of unilateral degrees of equivalence (DoE), defined as the difference between a laboratory's measurement and a key comparison reference value (KCRV). The functional form of the KCRV has been a source of much debate, with most of the proposed solutions being based on a frequentist interpretation of probability. The focus of this article is on the case when the result of each laboratory's measurement is interpreted as a mean and standard deviation of a probability distribution of belief about a measurand. Bayesian statistical methods are best suited to deal with this situation and lead to interesting insights about the form of the KCRV and the DoE.


PACS

06.20.-f Metrology

02.70.Rr General statistical methods

02.50.-r Probability theory, stochastic processes, and statistics

Subjects

Computational physics

Instrumentation and measurement

Dates

Issue 2 (April 2007)

Received 16 January 2007

Published 27 March 2007


An Addendum for this article has been published in 2007 Metrologia 44 423


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