Prediction of precision from signal and noise measurement in liquid chromatography: Mathematical relationship between integration domain and precision |
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Authors: | Y Hayashi R Matsuda |
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Institution: | (1) National Institute of Health Sciences, 1-18-1 Kami-Yoga, Setagaya, 158 Tokyo, Japan |
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Abstract: | Summary The precision of integration over noisy instrumental output for quantitative analysis is studied. A probability theory is
developed to predict the relative standard deviation (RSD) of integration results over an integration domain from one-point
integration (peak height measurement) to entire area integration in HPLC. Common integration modes of horizontal zero line
and oblique zero line are taken into account, but no peak overlap is assumed. The question of the analytical superiority of
peak height measurement or integration for quantitation is answered. In the HPLC apparatus used, the minimum RSD of measurements
is found in the integration domain of ca. ±0.5 σ for analytes peaks are approximated by the Gaussian signal of width, σ (standard
deviation)]. The RSD of integration measurements is also shown to depend on the stochastic properties of background noise
(uncorrelated noise and correlated 1/f type noise). The theoretical conclusion is verified by Monte Carlo simulation and HPLC
experiments for some aromatic compounds.
Second Part of series cited as Ref. 1]. |
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Keywords: | Column liquid chromatography Limit of detection Precision Uncertainty prediction |
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