Robust estimates of the theoretical standard deviation to be used in interlaboratory precision experiments |
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Authors: | Peter-Th Wilrich |
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Institution: | 1.Freie Universit?t Berlin,Institut für Statistik und ?konometrie,Berlin,Germany |
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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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Keywords: | Interlaboratory experiments Measurement methods Precision Repeatability Reproducibility Robust statistical methods |
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