Two models for linear comparative calibration

We consider the comparative calibration problem in the case when linear relationship is assumed between two considered measuring devices with possibly different units and precisions. The first method for obtaining the approximate confidence region for unknown parameters of the calibration line appli...

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Bibliographic Details
Published in:International journal of metrology and quality engineering 2012, Vol.3 (3), p.179-184
Main Authors: Wimmer, G., Witkovský, V.
Format: Article
Language:English
Subjects:
Calibration problem
errors-in-variables model
Kenward-Roger approximation
maximum likelihood estimator
multiple-use calibration
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Summary:We consider the comparative calibration problem in the case when linear relationship is assumed between two considered measuring devices with possibly different units and precisions. The first method for obtaining the approximate confidence region for unknown parameters of the calibration line applies the maximum likelihood estimators of the unknown parameters. The second method is based on estimation of the calibration line via replicated errors-in-variables model. Essential point in this approach is approximation of the small sample distribution of the Wald-type test statistic. This enables to construct the interval estimators for the multiple-use calibration case.
ISSN:2107-6839
2107-6847
DOI:10.1051/ijmqe/2012026