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Critical values of Mandel’s h and k, the Grubbs and the Cochran test statistic

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  • Peter-T. Wilrich

Abstract

According to ISO 5725-2 ( 1994 ), measurement results obtained in an interlaboratory experiment are inspected for consistency by plotting Mandel’s h and k statistics and for outliers by application of the Grubbs test and the Cochran test. Critical values of these statistics for significance levels α=5% and α=1% and for some numbers p of laboratories and n of repeated measurements in the laboratories are supplied in ISO 5725-2 without reference to methods for their calculation. In this paper, exact formulae for the critical values of Mandel’s h and k and approximate formulae for the critical values of the Single Grubbs test, the Double Grubbs test and the Cochran test are derived. Copyright Springer-Verlag 2013

Suggested Citation

  • Peter-T. Wilrich, 2013. "Critical values of Mandel’s h and k, the Grubbs and the Cochran test statistic," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 97(1), pages 1-10, January.
    • Handle: RePEc:spr:alstar:v:97:y:2013:i:1:p:1-10
    DOI: 10.1007/s10182-011-0185-y
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