Weighted Means Statistics in Interlaboratory Studies
Andrew L. Rukhin
The usefulness of weighted means statistics as a consensus mean estimator in collaborative studies is discussed. A random effects model designed to combine information from several sourcesis employed to justify their appeal to metrologists. Some methods of estimating the uncertainties and of constructing confidence intervals are reviewed.
Almost unbiased estimator, DerSimonian-Laird estimator, Fairweather procedure, Graybill-Deal estimator, heteroscedasticity, Mandel-Paule algorithm, maximum likelihood, meta-analysis, random effects model