ANALYSIS OF INTERLABORATORY COMPARISON DATA USING T-DISTRIBUTIONS

Alistair B. Forbes

Abstract

This paper discusses the analysis of interlaboratory comparison data where there may be some doubt about the validity of the uncertainty statements. The analysis of repeated measurements drawn from a Gaussian distribution with unknown variance provides a model for the posterior adjustment of the input distribution associated with each participant. Importantly, the shapes of the input distributions are adjusted, not just their standard deviations.

Keywords

Bayesian inference, interlaboratory comparisons, t-distributions, uncertainty evaluation

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IMEKO-WC-2015-TC21-391.pdf

DOI

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IMEKO TC

TC21 - Mathematical Tools for Measurements

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