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Multiway Multidimensional Analysis for Pharmaco-EEG Studies

FMRIB Technical Report TR00DL2
A related paper has been submitted to JASA

Didier G. Leibovici

Oxford Centre for Functional Magnetic Resonance Imaging of the Brain (FMRIB),
Department of Clinical Neurology, University of Oxford, John Radcliffe Hospital,
Headley Way, Headington, Oxford, UK


Current pharmaco-dynamic studies involve electro-encephalographic signal recording (EEG) of subjects according to a crossover design wherein each period includes repeated measures of EEG (in days/times). Spatio-temporal distributions of parameters (frequency bands of the signal) are of interest for differences between placebo and verum doses. After a brief description of shortcomings mainly in using parametric univariate or classical multi-variate analysis, this paper aims to introduce some multiway multidimensional approaches to take into account the structure of the data, a table with $k > 2$ entries. A generalisation of the Singular Value Decomposition to multi-tables enables a quantification of each set of linear components describing a spatio-temporal effect of the bands but also subject dispersion, which achieve data reduction and description. The flexibility of the method, including preprocessing and metric choices are issued for pharmaco-EEG analysis, introducing a generalisation of Correspondence Analysis for more than two variables. keywords:Pharmaco-dynamic studies, quantified EEG, Multiway Analysis, SVD, Correspondence analysis, Principal Tensor Analysis on k modes.

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Next: Introduction
Didier Leibovici 2001-09-04