Application of regression methods to solve general isotope dilution measurement equations

Isotope dilution is among the most accurate quantitation approaches in chemical analysis. This calibration method is often employed using a plurality of mathematical formulations. While most analysts find the calibration curve approach most appealing, there is a lack of rigorous general procedures i...

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Bibliographic Details
Published inMetrologia Vol. 57; no. 2; pp. 25016 - 25021
Main Authors Meija, Juris, McRae, Garnet, Pagliano, Enea
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2020
Subjects
Calibration
Chemical analysis
Dilution
Empirical analysis
Functions (mathematics)
graphical approach
Ions
isotope dilution
Isotopes
least squares methods
Mathematical analysis
Polynomials
Regression analysis
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Summary:Isotope dilution is among the most accurate quantitation approaches in chemical analysis. This calibration method is often employed using a plurality of mathematical formulations. While most analysts find the calibration curve approach most appealing, there is a lack of rigorous general procedures involving calibration curves in isotope dilution and analysts resort to empirical polynomial calibration functions. In this contribution we discuss the adoption of regression analysis, commonly known as least squares methods, to solve isotope dilution equations of varied complexity. This manuscript introduces general regression-based methods to isotope dilution applicable to all known variants of classical isotope dilution known to date, including the fusion of the isotope dilution and standard additions methods.
Bibliography:MET-101598.R1
ISSN:0026-1394
1681-7575
DOI:10.1088/1681-7575/ab6b3d