Int. J. Metrol. Qual. Eng.
Volume 3, Number 3, 2012
|Page(s)||179 - 184|
|Published online||13 May 2013|
Two models for linear comparative calibration
Mathematical Institute, Slovak Academy of Sciences
Bratislava, Slovak Republic
2 Faculty of Natural Sciences, Matej Bel University Banská Bystrica, Slovak Republic
3 Institute of Mathematics and Statistics, Masaryk University Brno, Czech Republic
4 Institute of Measurement Science, Slovak Academy of Sciences Bratislava, Slovak Republic
⋆ Correspondence: email@example.com
Received: 10 October 2012
Accepted: 28 October 2012
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.
Key words: Calibration problem / multiple-use calibration / maximum likelihood estimator / errors-in-variables model / Kenward-Roger approximation
© EDP Sciences 2013
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