Determination of a Two-Tailed 100(1-α)% Upper Limit on the Relative Error in the Laboratory-to-Laboratory Standard Deviation Obtained from an Interlaboratory Study

Autor:	Jung K Lee, Foster D McClure
Rok vydání:	2009
Předmět:	Pharmacology Monte Carlo method Magnitude (mathematics) Standard deviation Analytical Chemistry Multicenter study Approximation error Sample size determination Statistics Calibration Environmental Chemistry Limit (mathematics) Agronomy and Crop Science Food Science
Zdroj:	Journal of AOAC INTERNATIONAL. 92:1593-1601
ISSN:	1944-7922 1060-3271
DOI:	10.1093/jaoac/92.5.1593
Popis:	For some classes of analytical methods, it is assumed that the error in the laboratory-to-laboratory standard deviation (sL) is appreciable. To demonstrate the magnitude of this error in sL for such methods, formulas were derived to obtain a two-tailed 100(1-α)% upper limit on the relative error in sL obtained from an interlaboratory study, assuming that the laboratory-to-laboratory variance (sL2) obtained in the validation of an analytical method is approximately normal and/or Chi-square distributed. This 100(1-α)% upper limit is referred to as a margin of relative error in sL (MRE(sL)). Monte Carlo simulations were performed, and the results compared satisfactorily with the formula calculations. To aid in designing future interlaboratory studies in which concern is focused on the magnitude of the uncertainty in sL, expressed as a proportion of the true value (σL), a formula was derived to determine the number of laboratories needed to attain a given MRE in sL for a stated number of replicates per laboratory.
Databáze:	OpenAIRE
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