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A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation
A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation
Shu, Jungkee;Min, Hyungsik;Park, Minsu;Woo, Jin-Chun;Kim, Jongsang
Journal of the Korean Chemical Society. 2003. Feb, 47(1): 31-37
DOI : http://dx.doi.org/10.5012/jkcs.2003.47.1.031
  • Published : February 20, 2003
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Shu, Jungkee
Min, Hyungsik
Park, Minsu
Woo, Jin-Chun
Kim, Jongsang
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Shu, Jungkee
Min, Hyungsik
Park, Minsu
Woo, Jin-Chun
Kim, Jongsang
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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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Citing 'A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation '
@article{ JCGMDC_2003_v47n1_31} ,title={A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation} ,volume={1} , url={http://dx.doi.org/10.5012/jkcs.2003.47.1.031}, DOI={10.5012/jkcs.2003.47.1.031} , number= {1} , journal={Journal of the Korean Chemical Society} , publisher={Korean Chemical Society} , author={Jungkee, Shu and Hyungsik, Min and Minsu, Park and Jin-Chun, Woo and Jongsang, Kim} , year={2003} , month={Feb}