Application of the vector method for estimating characteristic function based on measurements uncertainty at two control points

Zygmunt Lech Warsza , Jacek Puchalski , Adam Idźkowski

Abstract

This paper discusses two methods for estimating the uncertainty of values of the function which describes a characteristic of the property of tested devices, substances or engineering process. This estimation is based on measurements at two control points. The method I estimates uncertainty of these function points using a linear approximation created on the basis of maximum permissible values of measurement error at control points. The method II relies on the statistical estimation of values, their uncertainties and correlation for the points of a tested function as a linear combination of measurement results in two control points. Matrix approach to the propagation of uncertainties in indirect multivariate measurements was used. Method I is the boundary case of method II when the correlation coe cient is equal to 1. Using the method II, the absolute and relative uncertainties of interpolated values of characteristic curve and their linear or nonlinear functions can be properly estimated. Both methods can be useful in all areas of metrology applications. It is an extension of the method described in the GUM Guide Supplement 2
Author Zygmunt Lech Warsza
Zygmunt Lech Warsza,,
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, Jacek Puchalski
Jacek Puchalski,,
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, Adam Idźkowski (FEE / DTEM)
Adam Idźkowski,,
- Department of Theoretical Electrotechnics and Metrology
Pages60-73
Publication size in sheets0.65
Book Lemeshko Boris, Nikulin Mikhail, Balakrishnan Narayanaswamy (eds.): Applied Methods of Statistical Analysis: Statistical Computation and Simulation: Proceedings of the International Workshop, 2019, Novosibirsk State Technical University, 574 p.
Keywords in Englishmaximum permissible error, uncertainty type A and type B, correlation coe cient, two-parameter measurand, control points, statistical estimation, multivariate measurements, vector propagation of uncertainty
URL http://www.amsa.conf.nstu.ru/amsa2019/proceedings/AMSA2019-proceedings.pdf
Internal identifierROC 19-20
Languageen angielski
Score (nominal)0
Score sourceconferenceList
ScoreMinisterial score = 0.0, 21-11-2019, ChapterFromConference
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