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Evaluating systematic differences between laboratories in interlaboratory comparisons

Measurement Techniques volume 52, pages 788–793 (2009)Cite this article

A Bayesian analysis of the data from interlaboratory comparisons involving a single stable traveling standard is presented. The approach is based on the assumption that each participating laboratory provides an estimate of the value of the measurand with zero estimated bias. In addition, it is assumed that each of the reported uncertainties is given in the form of two separate components, one associated with random effects and the other associated with systematic effects. It is finally assumed that all information is consistent. Using Gaussian probability density functions, simple formulas for the joint estimate of the value of the measurand and for the a posteriori estimates of the biases and of their differences are derived. Formulas for the uncertainties of all these estimates are also given.

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References

  1. A. G. Chunovkina, C. Elster, I. Lira, and W. Wöger, “Analysis of key comparison data and laboratory biases,” Metrologia, No. 45, 211–216 (2008).

  2. BIPM, International Vocabulary of Metrology: Basic and General Concepts and Associated Terms (VIM), Joint Committee for Guides in Metrology, JCGM 200 (2008).

  3. BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, and OIML, Evaluation of Measurement Data: Supplement 1 to the “Guide to the Expression of Uncertainty in Measurement:” Propagation of Distributions Using a Monte Carlo Method, Joint Committee for Guides in Metrology, JCGM 101 (2008).

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Authors and Affiliations

  1. D. I. Mendeleyev Institute for Metrology, 19 Moskovskii Prospekt, St. Petersburg, Russia

    A. G. Chunovkina

  2. Physikalisch-Technische Bundesanstalt, Abbestr. 2-12, 10587, Berlin, Germany

    C. Elster & W. Wöger

  3. Department of Mechanical and Metallurgical Engineering, Pontificia Universidad Católica de Chile, Vicuña Mackenna, 4860, Santiago, Chile

    I. Lira

  4. Drosselweg 1, 50735, Cologne, Germany

    W. Wöger

Authors
  1. A. G. Chunovkina
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  2. C. Elster
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  3. I. Lira
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  4. W. Wöger
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Additional information

Published in Izmeritel’naya Tekhnika, No. 7, pp. 68–71, July, 2009.

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Chunovkina, A.G., Elster, C., Lira, I. et al. Evaluating systematic differences between laboratories in interlaboratory comparisons. Meas Tech 52, 788–793 (2009). https://doi.org/10.1007/s11018-009-9340-1

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  • DOI: https://doi.org/10.1007/s11018-009-9340-1

Keywords

  • Probability Density Function
  • Standard Uncertainty
  • Joint Probability Density Function
  • Interlaboratory Comparison
  • Joint Estimate