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Measurement Science Review

The Journal of Institute of Measurement Science of Slovak Academy of Sciences

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Volume 18, Issue 6


Confidence Region for Calibration Function Coefficients

Petra Ráboňová / Gejza Wimmer
  • Faculty of Science, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovak Republic
  • Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovak Republic
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Published Online: 2018-11-30 | DOI: https://doi.org/10.1515/msr-2018-0031


The paper deals with the comparative calibration model, i.e. with a situation when both variables are subject to errors. The calibration function is supposed to be a polynomial. From the statistical point of view, the model after linearization could be represented by the linear errors-in-variables (EIV) model. There are two different ways of using the Kenward and Roger’s type approximation to obtain the confidence region for calibration function coefficients. These two confidence regions are compared on a small simulation study. Calibration process and process of measuring with calibrated device are described under the assumption that the measuring errors are normally distributed.

Keywords: Calibration; calibration function parameters; confidence region; measurements with calibrated device


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About the article

Received: 2018-03-03

Accepted: 2018-10-15

Published Online: 2018-11-30

Published in Print: 2018-10-01

Citation Information: Measurement Science Review, Volume 18, Issue 6, Pages 227–235, ISSN (Online) 1335-8871, DOI: https://doi.org/10.1515/msr-2018-0031.

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© 2018 Petra Ráboňová et al., published by Sciendo. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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