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Confidence Region for Calibration Function Coefficients Cover

Confidence Region for Calibration Function Coefficients

Open Access
|Nov 2018

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.

Language: English
Page range: 227 - 235
Submitted on: Mar 3, 2018
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Accepted on: Oct 15, 2018
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Published on: Nov 30, 2018
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2018 Petra Ráboňová, Gejza Wimmer, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.