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- E-ISSN 2288-8985
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- P-ISSN1225-0163
- E-ISSN2288-8985
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A Study on the Treatment of Uncertainty in Linear Regression Method for Chemical Analysis
Analytical Science and Technology / Analytical Science and Technology, (P)1225-0163; (E)2288-8985
2003, v.16 no.3, pp.185-190
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(2003). A Study on the Treatment of Uncertainty in Linear Regression Method for Chemical Analysis. Analytical Science and Technology, 16(3), 185-190.
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Abstract
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.
- keywords
- uncertainty, linear regression, calibration curve
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