Laplace Random Effects Models for Interlaboratory Studies
Andrew L. Rukhin, Antonio M. Possolo
A model is introduced for measurements obtained in collaborative interlaboratory studies, comprising measurement errors and random laboratory effects that have Laplace distributions, possibly with heterogeneous, laboratory-specific variances. Estimators are suggested for the common median and for its uncertainty, as well as confidence intervals. We provide predictors of the laboratory effects, and of their pairwise differences, along with the corresponding uncertainties. Explicit formulas are given for these estimators, and their sampling performance is assessed in a Monte Carlo simulation study.
and Possolo, A.
Laplace Random Effects Models for Interlaboratory Studies, Technometrics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=903611
(Accessed December 10, 2023)