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

측정 불확도 표현 지침서(GUM)와 Monte-Carlo Simulation에 의한 불확도 전파 결과의 비교 연구

  • 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)
  • 서정기 (한국표준과학연구원 물량표준부) ;
  • 민형식 (한국표준과학연구원 물량표준부) ;
  • 박민수 (대전대학교 환경공학과) ;
  • 우진춘 (한국표준과학연구원 물량표준부) ;
  • 김종상 (한국건자재시험연구원 품질경영부)
  • Published : 2003.02.20

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

References

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