Coordinate swapping in standard addition graphs for analytical chemistry : a simplified path for uncertainty calculation in linear and nonlinear plots

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DOIResolve DOI: http://doi.org/10.1021/ac5014749
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TypeArticle
Journal titleAnalytical Chemistry
ISSN0003-2700
Volume86
Issue17
Pages85638567; # of pages: 5
SubjectChemical analysis; Calibration lines; Nonlinear curves; Quadratic modeling; Standard addition; Uncertainty calculations; Uncertainty evaluation; Chemistry
AbstractUncertainty of the result from the method of standard addition is often underestimated due to neglect of the covariance between the intercept and the slope. In order to simplify the data analysis from standard addition experiments, we propose x-y coordinate swapping in conventional linear regression. Unlike the ratio of the intercept and slope, which is the result of the traditional method of standard addition, the result of the inverse standard addition is obtained directly from the intercept of the swapped calibration line. Consequently, the uncertainty evaluation becomes markedly simpler. The method is also applicable to nonlinear curves, such as the quadratic model, without incurring any additional complexity.
Publication date
LanguageEnglish
AffiliationMeasurement Science and Standards; National Research Council Canada
Peer reviewedYes
NPARC number21272638
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Record identifier8464f428-2dd1-4c13-a23d-7f3ff3edb63d
Record created2014-12-03
Record modified2016-05-09
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