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Towards an explanation of the Horwitz function
Thompson, Michael
Analytical and bioanalytical chemistry, 2022-02, Vol.414 (4), p.1671-1676
[Periódico revisado por pares]
Berlin/Heidelberg: Springer Berlin Heidelberg
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Título:
Towards an explanation of the Horwitz function
Autor:
Thompson, Michael
Assuntos:
Analysis
;
Analytical Chemistry
;
Biochemistry
;
Characterization and Evaluation of Materials
;
Chemistry
;
Chemistry and Materials Science
;
Chemistry, Analytic
;
Chemists
;
Collaboration
;
Food Science
;
Laboratory Medicine
;
Methods
;
Monitoring/Environmental Analysis
;
Reproducibility
;
Research Paper
;
Statistical methods
É parte de:
Analytical and bioanalytical chemistry, 2022-02, Vol.414 (4), p.1671-1676
Notas:
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição:
Analytical chemists in the food sector are well acquainted with the empirically observed Horwitz function. It relates reproducibility (interlaboratory) standard deviations estimated by collaborative trial with the mass fraction of the analyte. No compelling theory accounts for the power-law form of the function or its parameters. The equation of Zitter and God, ostensibly covering the same ground, is less well known but, in spite of its secure foundation in theory and practice, seems at first sight to be incompatible with the Horwitz function. In this paper, we see that because of the limited range of mass fractions in which a single collaborative trial is usually conducted, collections of statistics from collaborative trials exhibit the Horwitz function over the mass fraction range from about 10 −7 (100 ppb) to about 10 −1 (10%). Graphical abstract
Editor:
Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma:
Inglês
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