Laplace random effects models for interlaboratory studies
AbstractA 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 standard deviation. We provide predictors of the laboratory effects, and of their pairwise differences, along with the standard errors of these predictors. Explicit formulas are given for all estimators, whose sampling performance is assessed in a Monte Carlo simulation study.
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Bibliographic InfoArticle provided by Elsevier in its journal Computational Statistics & Data Analysis.
Volume (Year): 55 (2011)
Issue (Month): 4 (April)
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Web page: http://www.elsevier.com/locate/csda
Bayes estimators Degree of equivalence Heteroscedasticity Interlaboratory study Key comparisons Laplace distribution Maximum likelihood estimation Meta-analysis Random effects model;
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- Koenker,Roger, 2005.
Cambridge University Press, number 9780521608275, April.
- Davies, Laurie, 1991. "A stochastic model for interlaboratory tests," Computational Statistics & Data Analysis, Elsevier, vol. 12(2), pages 201-209, September.
- Wilcox, Rand R., 2006. "Comparing medians," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1934-1943, December.
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