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Uncertainty evaluation of multivariate quantities: A case study on electrical impedance
Affiliation:1. Department of Environmental and Occupational Health, University of South Florida, United States;2. Department of Civil and Environmental Engineering, University of South Florida, United States;3. School of Geosciences, College of Arts and Sciences, University of South Florida, United States
Abstract:The paper discusses the evaluation of the uncertainty of a multivariate quantity using the Law of Propagation of Uncertainty defined in the Guide to the Expression of Uncertainty in Measurement (GUM) and a Monte Carlo method according to the GUM’s Supplement 2. The quantity analysed is the electrical impedance, which is not a scalar but a complex quantity. The used measuring method allows the evaluation of the impedance and of its uncertainty in different ways and the corresponding results are presented, compared and discussed. For comparison purposes, results of the impedance uncertainty obtained using the NIST Uncertainty Machine are also presented.
Keywords:Uncertainty evaluation  Law of Propagation of Uncertainty  Monte Carlo method  Multivariate measurement model
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