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Publication Citation: Simultaneous Estimation and Reduction of Nonconformity in Interlaboratory Studies

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Author(s): Andrew L. Rukhin; William E. Strawderman;
Title: Simultaneous Estimation and Reduction of Nonconformity in Interlaboratory Studies
Published: August 08, 2012
Abstract: Several procedures designed to reduce nonconformity in interlaboratory studies by shrinking data toward a consensus weighted mean are suggested. Some of them are shown to have a smaller quadratic risk than the vector sample mean. Shrinkage toward a weighted means statistics appearing in random effects model and in models which include systematic, Type B errors is also considered. The results are illustrated by two examples of collaborative studies.
Citation: Journal of the Royal Statistical Society Series B-Statistical Methodology
Pages: pp. 451 - 469
Keywords: Birge ratio; DerSimonian-Laird estimator; heteroscedasticity; key comparisons; Mandel-Paule algorithm; meta-analysis; normal mean; reference value; shrinkage estimators; Stein phenomenon; weighted means statistics.
Research Areas: Statistics
PDF version: PDF Document Click here to retrieve PDF version of paper (790KB)