An uncertainty evaluation for multiple measurements by GUM, III: using a correlation coefficient

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...

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Veröffentlicht in:Accreditation and quality assurance 2009, Vol.14 (1), p.43-47
Hauptverfasser: Nam, Gyeonghee, Kang, Chu-Shik, So, Hun-Young, Choi, JongOh
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0949-1775
1432-0517
DOI:10.1007/s00769-008-0439-x