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7 - Calculation of uncertainties

Published online by Cambridge University Press:  06 July 2010

L. Kirkup
Affiliation:
University of Technology, Sydney
R. B. Frenkel
Affiliation:
National Measurement Institute, Sydney
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Summary

Random errors, evaluated using statistical methods, create a Type A uncertainty. A known systematic error in a measured value should be corrected for, and after the correction has been made, the uncertainty in the correction contributes to the uncertainty in that value. The uncertainty in the correction, and hence in the value, may be Type A or Type B, depending on how the uncertainty is evaluated. The finally reported uncertainty of a measurand, called the combined uncertainty, is likely to have both Type A and Type B components, but becomes wholly Type B when subsequent use is made of it.

In this chapter we consider how to evaluate the combined uncertainty of a measurand. The procedure to be described makes no distinction between Type A and Type B uncertainties. It may appear then as if we have gone to unnecessary trouble in assigning types to uncertainties, but this classification is desirable since it emphasises the different methods by which they are evaluated. It is also useful as a reminder that, whereas an ‘error’ can be random or systematic, ‘uncertainty’ is a separate concept whose two types are distinguished from each other by different names, ‘Type A’ and ‘Type B’. However, once uncertainties have been classified, Type A and Type B uncertainties are treated identically thereafter.

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An Introduction to Uncertainty in Measurement
Using the GUM (Guide to the Expression of Uncertainty in Measurement)
, pp. 97 - 125
Publisher: Cambridge University Press
Print publication year: 2006

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  • Calculation of uncertainties
  • L. Kirkup, University of Technology, Sydney, R. B. Frenkel, National Measurement Institute, Sydney
  • Book: An Introduction to Uncertainty in Measurement
  • Online publication: 06 July 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511755538.009
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  • Calculation of uncertainties
  • L. Kirkup, University of Technology, Sydney, R. B. Frenkel, National Measurement Institute, Sydney
  • Book: An Introduction to Uncertainty in Measurement
  • Online publication: 06 July 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511755538.009
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Calculation of uncertainties
  • L. Kirkup, University of Technology, Sydney, R. B. Frenkel, National Measurement Institute, Sydney
  • Book: An Introduction to Uncertainty in Measurement
  • Online publication: 06 July 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511755538.009
Available formats
×