Articlebronze2007

Draft GUM Supplement 1 and Bayesian analysis

Clemens Elster · Wolfgang Wöger · M G Cox

33 citations0/0 files storedMetrologia

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Scientific Measurement and Uncertainty Evaluation Probability and Statistical Research Statistical Methods and Bayesian Inference

Abstract

The relation between uncertainty evaluation according to the recent draft of GUM Supplement 1 and the application of Bayesian statistics including Bayes' theorem is considered. In the case of a Type A evaluation of uncertainty, repeated measurement indications are regarded as independently drawn from normal frequency distributions and, according to its suggestion, the numerical evaluation method of Supplement 1 is applied after having assigned scaled and shifted t -distributions to the corresponding input quantities. It will be shown that this approach is equivalent to a Bayesian analysis using Bayes' theorem with commonly used prior distributions.

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References

2006GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT 1995Guide to the Expression of Uncertainty in Measurement 2006The use of a Monte Carlo method for evaluating uncertainty and expanded uncertainty 1993A Bayesian theory of measurement uncertainty

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