Confidence Region for Calibration Function Coefficients

Petra Ráboňová 1  and Gejza Wimmer 2 , 3
  • 1 Faculty of Science, Masaryk University, 611 37, Brno
  • 2 Faculty of Science, Matej Bel University, 974 01, Banská Bystrica
  • 3 Mathematical Institute, Slovak Academy of Sciences, , 814 73, Bratislava

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.

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