Brown, P.J. and Vannucci, M. and Fearn, T. (1998) Bayesian wavelength selection in multicomponent analysis. Journal of Chemometrics, 12 (3). pp. 173-82. ISSN 0886-9383.
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| Official URL http://dx.doi.org/10.1002/(SICI)1099-128X(199805/0... |
Abstract
Multicomponent analysis attempts to simultaneously predict the ingredients of a mixture. If near-infrared spectroscopy provides the predictor variables, then modern scanning instruments may offer absorbances at a very large number of wavelengths. Although it is perfectly possible to use whole spectrum methods (e.g. PLS, ridge and principal component regression), for a number of reasons it is often desirable to select a small number of wavelengths from which to construct the prediction equation relating absorbances to composition. This paper considers wavelength selection with a view to using the chosen wavelengths to simultaneously predict the compositional ingredients and is therefore an example of multivariate variable selection. It adopts a binary exclusion/inclusion latent variable formulation of selection and uses a Bayesian approach. Problems of search of the vast number of possible selected models are overcome by a Markov chain Monte Carlo sampling technique.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | multivariate regression; Bayesian wavelength selection; Markov chain Monte Carlo (MCMC); Metropolis algorithm; NIR spectroscopy; multicomponent analysis; selection bias; model averaging |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics Q Science > QD Chemistry Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | I. Ghose |
| Date Deposited: | 05 Apr 2009 14:17 |
| Last Modified: | 05 Apr 2009 14:17 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/17608 (The current URI for this page, for reference purposes) |
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