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Simultaneous Estimation and Reduction of Nonconformity in Interlaboratory Studies

Published

Author(s)

Andrew L. Rukhin, William E. Strawderman

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

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.

Citation

Rukhin, A. and Strawderman, W. (2012), Simultaneous Estimation and Reduction of Nonconformity in Interlaboratory Studies, Journal of the Royal Statistical Society Series B-Statistical Methodology, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=901157 (Accessed March 19, 2024)
Created August 8, 2012, Updated February 19, 2017