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Radiation Protection Dosimetry Advance Access originally published online on July 25, 2006
Radiation Protection Dosimetry 2006 121(1):52-63; doi:10.1093/rpd/ncl095
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© The Author 2006. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Bayesian decision threshold, detection limit and confidence limits in ionising-radiation measurement

K. Weise1, K. Hübel2, E. Rose3, M. Schläger4, D. Schrammel5, M. Täschner6 and R. Michel6,*

1 Parkstrasse 11, D-38179 Schwülper, Germany
2 Bayerisches Landesamt für Umwelt, Bürgermeister-Ulrich-Strasse 160, D-86179 Augsburg, Germany
3 Gutenbergstrasse 22, D-52428 Jülich, Germany
4 Forschungszentrum Jülich, S-BP, D-52425 Jülich, Germany
5 Forschungszentrum Karlsruhe, Fortbildungszentrum für Technik und Umwelt (FTU), D-76021 Karlsruhe, Germany
6 Zentrum für Strahlenschutz und Radioökologie, Universität Hannover, Am Kleinen Felde 30, D-30167 Hannover, Germany

* Corresponding author: michel{at}zsr.uni-hannover.de


  Abstract

Based on Bayesian statistics and the Bayesian theory of measurement uncertainty, characteristic limits such as the decision threshold, detection limit and limits of a confidence interval can be calculated taking into account all sources of uncertainty. This approach consists of the complete evaluation of a measurement according to the ISO Guide to the Expression of Uncertainty in Measurement (GUM) and the successive determination of the characteristic limits by using the standard uncertainty obtained from the evaluation. This procedure is elaborated here for several particular models of evaluation. It is, however, so general that it allows for a large variety of applications to similar measurements. It is proposed for the revision of those parts of DIN 25482 and ISO 11929 that are still based on conventional statistics and, therefore, do not allow to take completely into account all the components of measurement uncertainty in the calculation of the characteristic limits.


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