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A Bayesian Approach to the Evaluation of Comparisons of Individually Value-Assigned Reference Materials

Published

Author(s)

Blaza Toman

Abstract

A new data analysis procedure is presented for the evaluation of comparisons of reference materials individually prepared and value-assigned by different organizations to measurements made in a single laboratory under repeatability measurements. The objective of such comparisons is to assess the value assignment capabilities of participating organizations when they are not constrained by severely limited resources. The proposed statistical analysis uses several novel concepts, most importantly a leave-one-out strategy for the estimation of the consensus value of the measurand, model fitting via Bayesian posterior probabilities, and posterior coverage probability calculation for the assigned 95% uncertainty intervals. The benefit of this analysis method is illustrated using data from the CCQM-K54 comparison of eight cylinders of hexane in methane, each prepared by a participating national metrology institute.
Citation
Analytical and Bioanalytical Chemistry

Keywords

Bayesian Analysis, Degrees of Equivalence, Generalized Distance Regression (GDR), Leave-One-Out analysis (LOO), Posterior Coverage Probability

Citation

Toman, B. (2012), A Bayesian Approach to the Evaluation of Comparisons of Individually Value-Assigned Reference Materials, Analytical and Bioanalytical Chemistry, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=909938 (Accessed April 22, 2024)
Created March 3, 2012, Updated January 27, 2020