2000
DOI: 10.1366/0003702001951219
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Multi-Window Classical Least-Squares Multivariate Calibration Methods for Quantitative ICP-AES Analyses

Abstract: The advent of inductively coupled plasma-atomic emission spectrometers (ICP-AES) equipped with charge-coupled-device (CCD) detector arrays allows the application of multivariate calibration methods to the quantitative analysis of spectral data. We have applied classical least squares (CLS) methods to the analysis of a variety of samples containing up to 12 elements plus an internal standard. The elements included in the calibration models were Ag, Al, As, Au, Cd, Cr, Cu, Fe, Ni, Pb, Pd, and Se. By performing t… Show more

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Cited by 18 publications
(15 citation statements)
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“…Multivariate calibration models have been applied successfully in a range of industries, such as pharmaceuticals, food processing and the mineral processing industries (Dinç and Üstündag, 2003;Haaland et al, 2000;Haavisto et al, 2008). There are several different approaches to model construction, such as classical least squares calibration and prediction algorithms that are based on the explicit linear additive relation of the Beer-Lambert law, inverse least squares models based on the inverse of the Beer-Lambert law, principal component regression, as well as partial least squares regression.…”
Section: Multivariate Calibration Modelsmentioning
confidence: 99%
“…Multivariate calibration models have been applied successfully in a range of industries, such as pharmaceuticals, food processing and the mineral processing industries (Dinç and Üstündag, 2003;Haaland et al, 2000;Haavisto et al, 2008). There are several different approaches to model construction, such as classical least squares calibration and prediction algorithms that are based on the explicit linear additive relation of the Beer-Lambert law, inverse least squares models based on the inverse of the Beer-Lambert law, principal component regression, as well as partial least squares regression.…”
Section: Multivariate Calibration Modelsmentioning
confidence: 99%
“…From a set of calibration samples with known instrumental responses and quantitative information of the analyte, there are 2 main approaches to stating a multivariate calibration model. These approaches are often referred to as direct (the classical least squares [CLS] model being the most used, but CLS variations have been published) and inverse (that include inverse least squares [ILS] methods such as multiple linear regression, principal component regression, partial‐least squares [PLS] regression, and ridge regression [RR], among others) . To provide accurate predictions from nonselective measurements, each calibration approach sets constraints on the model relative to the non‐analyte components (interferents).…”
Section: Introductionmentioning
confidence: 99%
“…Recently, multivariate calibration methods appear to be the proper techniques that show the best performance for complex mixture resolution (Vigneau et al, 1997;Massart et al, 1998;Lavine 2000;Haaland et al, 2000;Fearn, 2001;Brereton, 2003;Geladi, 2003;Ragno et al, 2004 One major use of PCR lies in overcoming the multicollinearity problem which arises when two or more of the explanatory variables are close to being collinear. PCR can aptly deal with such situations by excluding some of the lowvariance principal components in the regression step.…”
Section: Introductionmentioning
confidence: 99%