Published May 26, 2022 | Version v1

APPLICATION OF THE LEAST SQUARE METHOD FOR EVALUATION OF UNCERTAINTY OF MEASUREMENTS

Authors/Creators

  • 1. 2nd year master's student of the educational program "Automation and Control" Almaty University of Power Engineering and Telecommunications named after G.J. Daukeev Almaty, Republic of Kazakhstan
  • 2. PhD, professor Almaty University of Power Engineering and Telecommunications named after G.J. Daukeev Almaty, Republic of Kazakhstan

Description

Abstract

The article studies the least squares method and its application for estimating measurement uncertainty. The article shows how the parameters obtained by fitting, the intercept and the slope of the linear dependence, together with estimates of their variances and covariance, can be used to determine the correction values and its standard uncertainty from the calibration characteristic.

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Additional details

References

  • 1. Guide to the Expression of Uncertainty in Measurement: First edition. ISO, Geneva, 1993.
  • 2. EURACHEM/CITAC Guide Quantifying Uncertainty in Analytical Measurements, Third Edition, 2012.
  • 3. Khan S.G., Serikova A.A. Development of an automated program for calculating measurement uncertainty by the Kragten method, "The Europe and the Turkic World: Science, Engineering and Technology": Materials of the VII International Scientific-Practical Conference. In three volumes. Volume I – Mersin, Turkey: Regional Academy of Management, 2022. – 363 p.
  • 4. Cox M., Harris P., Siebert B.R.-L. Estimation of measurement uncertainty based on the transformation of distributions using Monte Carlo simulation // Izmeritelnaya tekhnika. - 2003. - No 9. - P. 9–14.
  • 5. ISO/IEC Guide 98-3:2008 «Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in measurement (GUM:1995)»