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TitleEvaluation of measurement comparisons using generalized least squares: The role of participants' estimates of systematic error
Publication TypeJournal Article
Year of Publication2014
AuthorsClare, J.F., Koo A., and Davies R.B.
JournalCommunications in Statistics - Theory and Methods
Pagination4297 - 4307
Date Published2014
ISSN03610926 (ISSN)
KeywordsComparison of measurements, Fixed effects, Generalized least square, Laboratory practices, Measurement comparison, Measurement errors, Measurement procedures, Measurements, Random effects, Random errors, Random processes, Systematic errors, Units of measurement, Variance estimate
AbstractWe consider the evaluation of laboratory practice through the comparison of measurements made by participating metrology laboratories when the measurement procedures are considered to have both fixed effects (the residual error due to unrecognised sources of error) and random effects (drawn from a distribution of known variance after correction for all known systematic errors). We show that, when estimating the participant fixed effects, the random effects described can be ignored.We also derive the adjustment to the variance estimates of the participant fixed effects due to these random effects. Copyright © Taylor & Francis Group, LLC.

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