On Uncertainty Analysis in the Calibration of Gauge Block: Another Look at Example S4 from EA-4/02
- Authors: Wimmer G.1,2, Witkovský V.3
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Affiliations:
- Mathematical Institute, Slovak Academy of Sciences
- Faculty of Science, Matej Bel University
- Institute of Measurement Science, Slovak Academy of Sciences
- Issue: Vol 62, No 4 (2019)
- Pages: 319-326
- Section: Article
- URL: https://journals.rcsi.science/0543-1972/article/view/246708
- DOI: https://doi.org/10.1007/s11018-019-01624-y
- ID: 246708
Cite item
Abstract
We present application of three alternative approaches for solving the Example S4 from EA-4/02 (Calibration of a gauge block of nominal length 50 mm); see [4]. As a result, application of the alternative approaches validates usage of the standard GUM uncertainty framework; see [1]. In particular, we consider the following alternative approaches to obtain the expanded uncertainty of measurement and/or the proper coverage interval for the measurand, namely (i) GUF (GUM uncertainty framework) based on using the Guide to the expression of uncertainty in measurement [1], (ii) MCM (Monte Carlo method) based on using Supplement 1 to the Guide to the Expression of Uncertainty in Measurement – propagation of distributions using a Monte Carlo (MC) method [2], and (iii) CFA (characteristic function approach) based on using the inverted characteristic function of the optimal linear estimator of the measurand [5]. Application of the methods (i), (ii), and (iii) is illustrated by uncertainty analysis of a well-known dataset, and the results are compared. Some useful mathematical results concerning probability density functions (pdf) and characteristic functions (cf) are given in the Appendix.
About the authors
G. Wimmer
Mathematical Institute, Slovak Academy of Sciences; Faculty of Science, Matej Bel University
Author for correspondence.
Email: wimmer@mat.savba.sk
Slovakia, Bratislava; Banská Bystrica
V. Witkovský
Institute of Measurement Science, Slovak Academy of Sciences
Email: wimmer@mat.savba.sk
Slovakia, Bratislava