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Comparison of Identification Criteria for Mathematical Models in Solving Measurement Problems

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Measurement Techniques Aims and scope

The article describes the problem of instability of the results of structural-parametric identification of metrological characteristics of a functional type during gauging and calibration of measuring instruments with a small number of measurements using various identification criteria. These characteristics include calibration diagrams, conversion functions, calibration characteristics, error distribution functions, etc. The order of distribution of the data of joint measurements into blocks in the cross-observation scheme of the maximum compactness method has been shown to influence the results of solving the problem of identifying metrological characteristics of a functional type. In the example of the thermometer calibration problem, the criteria of structural identification, namely, the minimum of the average modulus of the inadequacy error and the maximum of the kappa criterion (probability of agreement) were compared. It was determined that when dividing the data of joint measurements into equal parts is impossible, the kappa criterion has higher stability of the results. The results can be applied when writing specialized automatic data processing programs for gauging and calibration of measuring instruments, and unambiguous identification of metrological characteristics of a functional type according to measurement protocols; for example, when performing measurement methods certification.

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Notes

  1. R 50.2.004-2000 "State System for Ensuring Uniform Measurement. Determining the characteristics of mathematical models of dependencies between physical quantities when solving measurement tasks. Basic Provisions."

  2. MI 2916-2005 "State System for Ensuring Uniform Measurement. Identifi cation of probability distributions in solving measurement problems."

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Authors and Affiliations

  1. IVTrade, St. Petersburg, Russia

    A. D. Chikmarev

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  1. A. D. Chikmarev
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Correspondence to A. D. Chikmarev.

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Translated from Izmeritel'naya Tekhnika, No. 8, pp. 41–45, August, 2022.

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Chikmarev, A.D. Comparison of Identification Criteria for Mathematical Models in Solving Measurement Problems. Meas Tech 65, 584–589 (2022). https://doi.org/10.1007/s11018-023-02124-w

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