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http://dx.doi.org/10.5012/jkcs.2003.47.1.031

A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation  

Jungkee Shu (Division of Chemical Metrology and Materials Evaluation, Korea Research Insititute fo Standards and Science (KRISS))
Hyungsik Min (Division of Chemical Metrology and Materials Evaluation, Korea Research Insititute fo Standards and Science (KRISS))
Minsu Park (Department of Environment Engineering, Daejeon University)
Jin-Chun Woo (Division of Chemical Metrology and Materials Evaluation, Korea Research Insititute fo Standards and Science (KRISS))
Jongsang Kim (Department of quality management Korea Institute of Construction Materials)
Publication Information
Journal of the Korean Chemical Society / v.47, no.1, 2003 , pp. 31-37 More about this Journal
Abstract
The expanded uncertainties calculated by the application of GUM -approximation and Monte-Carlo simulation were compared about the model equation of one-point calibration which is widely used for the measurements and chemical analysis. For the comparisons, we assumed a set of artificial data at the various level of concentration and dispersion of t or normal distribution. Mistakes of more then 50 % was revealed at the values calculated by GUM-approximation in comparison with those of Monte-Carlo simulation because of the excess dispersion from t-distribution and non-linearity by division in the equation. In contrary, the mistake of calculation due to non-linearity of the equation was not observed in the level of detection limits with the equation of one-point calibration, because of the relatively large values of uncertainty in response.
Keywords
Chemical Analysis; One-point Calibration; GUM; Monte-Carlo Simulation; Expanded Uncertainty;
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