A Study on the Treatment of Uncertainty in Linear Regression Method for Chemical Analysis

회귀식 사용에 따른 화학 분석 과정의 불확도 처리 연구

  • Received : 2002.10.11
  • Accepted : 2003.04.09
  • Published : 2003.06.25


We applied modified least square method (MLS) and ordinary least square method (OLS) to 1st order equation for the comparison of the uncertainties calculated by these methods. The uncertainty calculated by OLS covered statistically safe interval because it was over-estimated in many cases of measurement and concentration level. But, if the uncertainty of the concentration as a reference value was comparably large (about 5% of the relative standard deviation of random scattering from the regression line and about 7% of relative standard uncertainty of reference values), then uncertainty calculated by OLS was seriously under-estimated at high concentration level. It was revealed that the calculated uncertainty didn't cover statistically safe interval at the stated confidence level. It was found that the method, MLS, described in the previously article would be valid for this calculation of uncertainty.


uncertainty;linear regression;calibration curve


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