TWO CALIBRATION MODELS

G. Wimmer, V. Witkovský

Abstract

Analyzed is the comparative calibration problem in the case when linear relationship is assumed between two considered measuring devices. 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 the use of the F-approximation of the distribution of the F-statistic suggested by Kenward and Roger (1997). The contribution shows also the interval estimators for the multiple-use calibration using both methods and enables to compare them.

Keywords

calibration problem, multiple-use calibration, maximum likelihood estimator, Kenward-Roger approximation

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IMEKO-WC-2012-TC21-P6.pdf

DOI

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IMEKO TC

TC21 - Mathematical Tools for Measurements

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