1988
DOI: 10.1366/0003702884428978
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Multivariate Calibration of Infrared Spectra for Quantitative Analysis Using Designed Experiments

Abstract: The principal component regression (PCR) and partial least-squares (PLS) methods are used to calibrate and validate models for quantitative prediction of the composition of mixtures from FT-IR spectra. An experimental system of two- and three-component mixtures of xylene isomers was sampled with the use of statistical experimental designs. For two-component mixtures, the prediction error of independent validation samples decreased with increasing numbers of design points in the calibration. Four design points … Show more

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Cited by 32 publications
(8 citation statements)
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“…), beam scattering, sample inhomogeneities, differences in geometry between samples and standards, and system effects (e.g., alignment, accessory effects, and system optics) (Haaland et al 1985). Several statistical models have been developed to help address quantitative non-linearities in simple binary mixtures, especially those arising from intermolecular interactions (Li-shi and Levine 1989;Cahn and Compton 1988;Fredericks et al 1985aFredericks et al , 1985bHaaland et al 1985). Calibration curves typically contain nonzero y-intercepts (e.g., Pollard et al 1990) due to infrared (IR) beam scattering and absorption by system optics (Haaland et al 1985).…”
Section: Introductionmentioning
confidence: 99%
“…), beam scattering, sample inhomogeneities, differences in geometry between samples and standards, and system effects (e.g., alignment, accessory effects, and system optics) (Haaland et al 1985). Several statistical models have been developed to help address quantitative non-linearities in simple binary mixtures, especially those arising from intermolecular interactions (Li-shi and Levine 1989;Cahn and Compton 1988;Fredericks et al 1985aFredericks et al , 1985bHaaland et al 1985). Calibration curves typically contain nonzero y-intercepts (e.g., Pollard et al 1990) due to infrared (IR) beam scattering and absorption by system optics (Haaland et al 1985).…”
Section: Introductionmentioning
confidence: 99%
“…Recently, quantitative spectroscopy has been greatly improved by the use of a variety of multivariate statistical methods (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16). Multivariate calibrations are useful in spectral analyses because the simultaneous inclusion of multiple spectral intensities can greatly improve the precision and applicability of quantitative spectral analyses.…”
Section: Introductionmentioning
confidence: 99%
“…Often, only limited and subjective comparisons between the various multivariate calibration methods have been made in the literature. When detailed comparisons have been made, the comparisons generally were based on a single data set or a small number of data sets (5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16). Observed differences between methods applied to a given data set often have not been assessed for 0003-2700/90/0362-1091S02.50/0 statistical significance.…”
Section: Introductionmentioning
confidence: 99%
“…The first method uses a set of gravimetrically prepared standards the latter uses spectra from samples that are directly obtained from the sample and analyzed by a suitable reference analysis. For a robust model the composition of the samples need to cover the whole design space and, therefore, the reference samples are planned by a design of experiments (DoE) 42. With the concept of DoE a maximum of information can be obtained with a minimum amount of samples and equipment 43.…”
Section: Strategies For Data Evaluation and Modelingmentioning
confidence: 99%