Publication details

Confidence Region for Calibration Function Coefficients

Authors

RÁBOŇOVÁ Petra WIMMER Gejza

Year of publication 2018
Type Article in Periodical
Magazine / Source Measurement Science Review
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1515/msr-2018-0031
Keywords Calibration; calibration function parameters; confidence region; measurements with calibrated device
Attached files
Description 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.
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