<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Confidence Region for Calibration Function Coefficients

Mathematical Institute, Slovak Academy of Sciences

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Confidence Region for Calibration Function Coefficients"}

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...

Confidence Region for Calibration Function Coefficients

Published Online: Nov 30, 2018

Page range: 227 - 235

Received: Mar 03, 2018

Accepted: Oct 15, 2018

DOI: https://doi.org/10.1515/msr-2018-0031

Keywords
Calibration, calibration function parameters, confidence region, measurements with calibrated device

© 2018 Petra Ráboňová et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Confidence Region for Calibration Function Coefficients

Published Online: Nov 30, 2018

Page range: 227 - 235

Received: Mar 03, 2018

Accepted: Oct 15, 2018

DOI: https://doi.org/10.1515/msr-2018-0031

KeywordsCalibration, calibration function parameters, confidence region, measurements with calibrated device

© 2018 Petra Ráboňová et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Calibration, calibration function parameters, confidence region, measurements with calibrated device