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Laboratory effects models for interlaboratory comparisons

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An Erratum to this article was published on 09 October 2010

Abstract

The statistical analysis of results from inter-laboratory comparisons (for example Key Comparisons, or Supplemental Comparisons) produces an estimate of the measurand (reference value) and statements of equivalence of the results from the participating laboratories. Methods to estimate the reference value have been proposed that rest on the idea of finding a so-called consistent subset of laboratories, that is, eliminating allegedly outlying participants. We propose an alternative statistical model that accommodates all participant data and incorporates the dispersion of the measurement values obtained by different laboratories into the total uncertainty of the various estimates. This model recognizes the fact that the dispersion of values between laboratories often is substantially larger than the measurement uncertainties provided by the participating laboratories. We illustrate the methods on data from key comparison CCQM–K25.

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References

  1. Benjamini Y, Hochberg Y (1995) Controlling the false discovery rate: a practical and powerful approach to multiple testing. J R Stat Soc B 57:289–300

    Google Scholar 

  2. Bureau International des Poids et Mesures (BIPM), International Electrotechnical Commission (IEC), International Federation of Clinical Chemistry (IFCC), International Organization for Standardization (ISO), International Union of Pure and Applied Chemistry (IUPAC), International Union of Pure and Applied Physics (IUPAP), and International Organization of Legal Metrology (OIML) (1995) Guide to the expression of uncertainty in measurement. ISO/IEC Guide 98:1995. International Organization for Standardization (ISO), Geneva, Switzerland

  3. Chunovkina AG, Elster C, Lira I, Wöger W (2008) Analysis of key comparison data and laboratory biases. Metrologia 45(2):211–216

    Article  Google Scholar 

  4. Comité international des poids et mesures (CIPM). Mutual recognition of national measurement standards and of calibration and measurement certificates issued by national metrology institutes. Bureau International des Poids et Mesures (BIPM), Pavillon de Breteuil, Sèvres, France, October 14th 1999. Technical Supplement revised in October 2003

  5. Cox MG (2002) The evaluation of key comparison data. Metrologia 39:589–595

    Article  Google Scholar 

  6. Cox MG (2007) The evaluation of key comparison data: determining the largest consistent subset. Metrologia 44:187–200

    Article  Google Scholar 

  7. Davison AC, Hinkley D (1997) Bootstrap methods and their applications. Cambridge University Press, New York

    Google Scholar 

  8. Decker JE, Brown N, Cox MG, Steele AG, Douglas RJ (2006) Recent recommendations of the consultative committee for length (CCL) regarding strategies for evaluating key comparison data. Metrologia 43:L51–L55

    Article  Google Scholar 

  9. Hochberg Y, Tamhane A (1987) Multiple comparison procedures. Wiley, New York

    Book  Google Scholar 

  10. Iyer HK, Wang CM, Vecchia DF (2004) Consistency tests for key comparison data. Metrologia 41:223–230

    Article  Google Scholar 

  11. Kacker R, Forbes A, Kessel R, Sommer K-D (2008) Classical and Bayesian interpretation of the Birge test of consistency and its generalized version for correlated results from interlaboratory evaluations. Metrologia 45(3):257–264

    Article  Google Scholar 

  12. Lunn DJ, Thomas A, Best N, Spiegelhalter D (2000) WinBUGS—a Bayesian modelling framework: concepts, structure, and extensibility. Stat Comput 10:325–337

    Article  Google Scholar 

  13. Martin AD, Quinn KM, Park JH (2008) MCMCpack: Markov chain Monte Carlo (MCMC) Package, (2008) URL http://mcmcpack.wustl.ed.. R package version 0.9-5

  14. Pinheiro JC, Bates DM (2000) Mixed-effects models in S and S-Plus. Springer, New York

    Google Scholar 

  15. Possolo A, Toman B (2007) Assessment of measurement uncertainty via observation equations. Metrologia 44:464–475

    Article  Google Scholar 

  16. R Development Core Team. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, (2008) URL http://www.R-project.or. ISBN 3-900051-07-0

  17. Schantz M, Wise S (2004) CCQM–K25: determination of PCB congeners in sediment. Metrologia 41(Technical Supplement):08001

  18. Searle SR (1971) Linear models. Wiley, New York

    Google Scholar 

  19. Searle SR, Casella G, McCulloch CE (1992) Variance components. Wiley, New York

    Book  Google Scholar 

  20. Toman B (2007a) Bayesian approaches to calculating a reference value in key comparison experiments. Technometrics 49(1):81–87

    Article  Google Scholar 

  21. Toman B (2007b) Statistical interpretation of key comparison degrees of equivalence based on distributions of belief. Metrologia 44(2):L14–L17

    Article  Google Scholar 

  22. Wasserman L (2004) All of statistics, a concise course in statistical inference. Springer, New York

    Google Scholar 

  23. Zhang NF (2006) The uncertainty associated with the weighted mean of measurement data. Metrologia 43(3):195–204

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful to Paul De Bièvre for his interest in a discussion of laboratory effects models in the context of a CCQM Key Comparison, and also wish to express their appreciation for the many useful comments that Michele Schantz, Will Guthrie, Hung-kung Liu, and Nien-fan Zhang (all from NIST) made on an early draft of this contribution.

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Correspondence to Blaza Toman.

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Papers published in this section do not necessarily reflect the opinion of the Editors, the Editorial Board and the Publisher.

An erratum to this article is available at http://dx.doi.org/10.1007/s00769-010-0707-4.

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Toman, B., Possolo, A. Laboratory effects models for interlaboratory comparisons. Accred Qual Assur 14, 553–563 (2009). https://doi.org/10.1007/s00769-009-0547-2

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