An uncertainty evaluation for multiple measurements by GUM, III: using a correlation coefficient |
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Authors: | Gyeonghee Nam Chu-Shik Kang Hun-Young So JongOh Choi |
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Institution: | (1) Korea Research Institute of Standards and Science, Daejeon, 305-600, Korea |
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Abstract: | After a measurement, a measured value and a measurement uncertainty are produced as a measurement result. By a repeated measurement,
another measurement result is produced. Between the individual results of the two measurements, it is shown that there may
be a significant correlation. A correlation coefficient can be determined when a GUM-compliant uncertainty budget for a measurement
is available. Utilizing the correlations between the N individual results, an equation is derived to combine the N individual uncertainties of N measurements. Using the newly derived equation including the correlation coefficient, three measurement uncertainties of
three measurement results are combined as an example. The combined uncertainty is compared with the uncertainty of a measurement
which treats the three individual measurements as one process.
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Keywords: | Uncertainty Uncertainty propagation Correlation Multiple measurement GUM |
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