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Effect of Measurement Accuracy and Range of Variation of a Physical Quantity on the Correlation Coefficient

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Measurement Techniques Aims and scope

We establish bounds on the maximal achievable value of the correlation coefficient between the measurements and the true values of a physical quantity, determined by the relative measurement error and its range of variation. A formula is developed for estimating the maximal correlation coefficient as a function of the relative error and its range of variation. A critical analysis is given of the possible reasons for getting abnormally high correlation coefficients in some indirect magnetic measurements.

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Authors and Affiliations

  1. Joint Institute of Mechanical Engineering, National Academy of Sciences of Belarus, Minsk, Belarus

    S. G. Sandomirski

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  1. S. G. Sandomirski
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Correspondence to S. G. Sandomirski.

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Translated from Izmeritel’naya Tekhnika, No. 10, pp. 13–17, October, 2014.

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Sandomirski, S.G. Effect of Measurement Accuracy and Range of Variation of a Physical Quantity on the Correlation Coefficient. Meas Tech 57, 1113–1120 (2015). https://doi.org/10.1007/s11018-015-0588-3

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  • DOI: https://doi.org/10.1007/s11018-015-0588-3

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