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A new robust pairwise statistic, the pairwise median scaled difference (MSD),is proposed for the detection of anomalous location/uncertainty pairs inheteroscedastic interlaboratory study data with associated uncertainties. Thedistribution for the IID case is presented and approximate critical values forroutine use are provided. The determination of observation-specific quantilesand p-values for heteroscedastic data, using parametric bootstrapping, isdemonstrated by example. It is shown that the statistic has good power fordetecting anomalies compared to a previous pairwise statistic, and offers muchgreater resistance to multiple outlying values.

An outlier-resistant indicator of anomalies among inter-laboratory comparison data with associated uncertainty