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Robust estimates of the theoretical standard deviation to be used in interlaboratory precision experiments

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Abstract

Interlaboratory experiments often contain results that strongly deviate from other results obtained in the same laboratory under repeatability conditions, or laboratory means that strongly deviate from other laboratory means. In ISO 5725-2 [1] and IUPAC [2], the basic standards for the organisation and analysis of interlaboratory experiments for the determination of precision of a measurement method, outlier tests are performed in order to detect such situations and to finally decide whether these values are retained in the analysis or discarded as outliers. This outlier treatment, which always has a subjective aspect, becomes unnecessary by using robust estimates of the repeatability and reproducibility standard deviation. This paper proposes to use Rousseeuw’s Q n as an extremely robust and efficient estimate of the standard deviation. Two examples show the performance of the new method.

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References

  1. ISO 5725-2:1994 Accuracy (trueness and precision) of measurement methods and results – Part 2: basic method for the determination of repeatability and reproducibility of a standard measurement method. International Standardisation Organization, Geneva, Switzerland

  2. IUPAC (1995) Protocol for the design, conduct and interpretation of method-performance studies. Pure Appl Chem 67:331–343

    Google Scholar 

  3. Croux C, Rousseeuw PJ (1992) A class of high-breakdown scale estimators based on subranges. Commun Statist Theory Meth 21:1935–1951

    Google Scholar 

  4. Rousseeuw PJ, Croux C (1993) Alternatives to the median absolute deviation. J Am Stat Assoc 88:1273–1283

    Article  Google Scholar 

  5. Graf U, Henning H-J, Stange K, Wilrich P-Th (1987) Formeln und Tabellen der angewandten mathematischen Statistik. Springer, Berlin Heidelberg New York

    Google Scholar 

  6. Analytical Methods Committee of the Royal Society of Chemistry (1989) Robust statistics: how not to reject outliers. Part 1: basic concepts. Analyst 114:1693–1697. Part 2: Inter-laboratory trials. Analyst 114:1699–1702

    Article  Google Scholar 

  7. ISO 5725-5:1998: Accuracy (trueness and precision) of measurement methods and results – Part 5: alternative methods for the determination of the precision of a standard measurement method. International Standardisation Organization, Geneva, Switzerland

  8. SLB (1989) Schweizerisches Lebensmittelbuch, Kapitel 60: Statistik und Ringversuche. Bern: EDMZ

  9. Huber PJ (1981) Robust statistics. Wiley, New York

    Google Scholar 

  10. Reichenbach A (1989) Robuste Methoden für die Auswertung von Ringversuchen. Diplomarbeit an der ETH Zürich

  11. Lischer P (1993) Ringversuche zur Bestimmung des Qualitätsstandards von Laboratorien. Seminar der Region Oesterreich-Schweiz der Internationalen Biometrischen Gesellschaft

  12. Lombard B (2003) Draft ISO/IDF Standard (Version 2 - March 2003). Microbiology of food and animal feeding stuffs—protocol for the establishment of precision characteristics of quantitative methods by interlaboratory studies

  13. ISO 16140:2003: Microbiology of food and animal feeding stuffs—protocol for the validation of alternative methods. International Standardisation Organization, Geneva, Switzerland

  14. Lombard B, Cornu M, Lahellec C, Feinberg MH (2005) Experimental evaluation of different precision criteria applicable to microbiological counting methods. J AOAC Int 88:830–841, and corrections (2006) J AOAC Int 89:11A–13A

    CAS  Google Scholar 

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Correspondence to Peter-Th. Wilrich.

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Wilrich, PT. Robust estimates of the theoretical standard deviation to be used in interlaboratory precision experiments. Accred Qual Assur 12, 231–240 (2007). https://doi.org/10.1007/s00769-006-0240-7

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  • DOI: https://doi.org/10.1007/s00769-006-0240-7

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