Three-way Principal Components Analysis for fluorescence spectroscopic classification of algae species |
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| Authors: | R Henrion G Henrion M B?hme and H Behrendt |
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| Institution: | (1) Institute of Mathematics, Humboldt University, Unter den Linden 6, D-10 099 Berlin, Germany, DE;(2) Institute of Chemistry, Humboldt University, Hessische Strasse 1–2, D-10 115 Berlin, Germany, DE;(3) Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany, DE |
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| Abstract: | Excitation-emission matrices (EEM) from fluorescence spectroscopy may contain characteristic information about different
algae species. As a result of measurements, one gets a whole stack of EEMs each of them corresponding to one species. Such
a stack of matrices has to be understood as a cubic data array spanned by the dimensions ‘excitation’, ‘emission’ and ‘species’.
The interpretation of higher dimensional data arrays requires efficient tools from multivariate data analysis. In this paper,
it is illustrated how Three-way Principal Components Analysis as the appropriate generalization of conventional Principal
Components Analysis may serve as a powerful method for classification of algae species.
Received: 31 May 1996 / Revised: 1 July 1996 / Accepted: 4 Juli 1996 |
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