Open Journal of Statistics

Volume 3, Issue 5 (October 2013)

ISSN Print: 2161-718X   ISSN Online: 2161-7198

Google-based Impact Factor: 1.45  Citations  

Functional Analysis of Chemometric Data

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DOI: 10.4236/ojs.2013.35039    4,968 Downloads   8,031 Views  Citations

ABSTRACT

The objective of this paper is to present a review of different calibration and classification methods for functional data in the context of chemometric applications. In chemometric, it is usual to measure certain parameters in terms of a set of spectrometric curves that are observed in a finite set of points (functional data). Although the predictor variable is clearly functional, this problem is usually solved by using multivariate calibration techniques that consider it as a finite set of variables associated with the observed points (wavelengths or times). But these explicative variables are highly correlated and it is therefore more informative to reconstruct first the true functional form of the predictor curves. Although it has been published in several articles related to the implementation of functional data analysis techniques in chemometric, their power to solve real problems is not yet well known. Because of this the extension of multivariate calibration techniques (linear regression, principal component regression and partial least squares) and classification methods (linear discriminant analysis and logistic regression) to the functional domain and some relevant chemometric applications are reviewed in this paper.

Share and Cite:

A. Aguilera, M. Escabias, M. Valderrama and M. Aguilera-Morillo, "Functional Analysis of Chemometric Data," Open Journal of Statistics, Vol. 3 No. 5, 2013, pp. 334-343. doi: 10.4236/ojs.2013.35039.

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