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

Peter-T. Wilrich ()

AStA Advances in Statistical Analysis, 2013, vol. 97, issue 1, 10 pages

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

Keywords: Cochran test; Grubbs test; Mandel’s h and k statistics; Outlier tests (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10182-011-0185-y

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