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  5. Evaluation and numerical presentation of the results of multivariate measurements – selected problems

Evaluation and numerical presentation of the results of multivariate measurements – selected problems

Z. L. Warsza , V. V. Ezhela
Системи обробки інформації. — 2011. — № 6(96). — С. 20-25.
УДК 6.91
Мова статті: англійська
Анотації на мовах:

A brief review of some problems arising in the correct numerical expression and evaluation of results of indirect multi-parameter measurements is given. There is included a theoretical basis for determining the estimates of values, uncertainties and correlation coefficients of the indirectly obtained multi-measurand, which are processed from data of the simultaneously measured set of variables. The algebra of random vectors is used. A numerical example illustrates the linear transformation of two variables and the types of improperly evaluated results - that may occur with over-rounding. There are given thresholds of the safe uniform rounding of mean vector and its scatter ellipsoid. There is proposed an upgrading of the GUM Example H.2 and of the uncertainty equation for nonlinear functions. It is also evidenced that correlation matrix of 2010 data of fundamental physical constants recommended by CODATA has non-negligible negative eigenvalues. In the end of this work it is argued for the urgent needs of standardization of e-publication of the experimental data in two parts: e-printed traditional narrative part, and an attached computer readable file with all numerical input data and results, to allow “fast” numerical peer review of the proposed publication reporting new measurement results. This work is a result of an inter-disciplinary cooperation of a metrologist and a nuclear physicist.
Ключові слова: uncertainty, indirect measurements, multi-measurand, correlated data
Інформація про авторів публікації:
Reference:
Warsza, Z. L. and Ezhela, V. V. (2011), Evaluation and numerical presentation of the results of multivariate measurements – selected problems, Information Processing Systems, No. 6(96), pp. 20-25