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Limits of detection in linear regression with errors in the concentration
Author(s) -
del Río Bocio F. Javier,
Riu Jordi,
Boqué Ricard,
Rius F. Xavier
Publication year - 2003
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.818
Subject(s) - detection limit , heteroscedasticity , ordinary least squares , least squares function approximation , calibration , bivariate analysis , capillary electrophoresis , mathematics , linear regression , statistics , regression , chromatography , chemistry , estimator
This paper discusses a method for calculating the limit of detection in analytical methods in which the calibration stage takes into account the errors in both concentrations and instrumental responses. The proposed method considers the heteroscedastic individual errors on both axes, i.e. it uses the bivariate least squares (BLS) regression method. The expressions were applied to X‐ray fluorescence (XRF) and capillary electrophoresis (CE) determinations to calculate the limits of detection of nine elements in solid rocks and three anions in water respectively. The limits of detection with these expressions have been compared with those obtained with ordinary least squares (OLS) and weighted least squares (WLS). The results show that the limits of detection when the BLS procedure is used are smaller than when the other techniques are used. Copyright © 2003 John Wiley & Sons, Ltd.