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Laplace Random Effects Models for Interlaboratory Studies

Published

Author(s)

Andrew L. Rukhin, Antonio M. Possolo

Abstract

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.
Citation
Technometrics
Volume
55
Issue
4

Keywords

bayes estimators, degrees of equivalence, heteroscedasticity, laplace distribution, maximum likelihood estimation, meta-analysis, random effects model, interlaboratory study, key comparisons.

Citation

Rukhin, A. and Possolo, A. (2010), Laplace Random Effects Models for Interlaboratory Studies, Technometrics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=903611 (Accessed March 28, 2024)
Created November 25, 2010, Updated February 19, 2017