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Parallel Factor Analysis as an exploratory tool for wavelet transformed event-related EEG Export

NeuroImage, Vol. 29, No. 3. (01 February 2006), pp. 938-947.

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eeg independent_component_analysis principal_component_analysis time_frequency wavelets

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In the decomposition of multi-channel EEG signals, principal component analysis (PCA) and independent component analysis (ICA) have widely been used. However, as both methods are based on handling two- way data, i.e. two-dimensional matrices, multi- way methods might improve the interpretation of frequency transformed multi-channel EEG of channel × frequency × time data. The multi- way decomposition method Parallel Factor (PARAFAC), also named Canonical Decomposition (CANDECOMP), was recently used to decompose the wavelet transformed ongoing EEG of channel × frequency × time (Miwakeichi, F., Martinez-Montes, E., Valdes-Sosa, P.A., Nishiyama, N. , Mizuhara, H., Yamaguchi, Y., 2004. Decomposing EEG data into space–time–frequency components using parallel factor analysis. Neuroimage 22, 1035–1045). In this article, PARAFAC is used for the first time to decompose wavelet transformed event-related EEG given by the inter-trial phase coherence (ITPC) encompassing ANOVA analysis of differences between conditions and 5- way analysis of channel × frequency × time × subject × condition. A flow chart is presented on how to perform data exploration using the PARAFAC decomposition on multi- way arrays. This includes (A) channel × frequency × time 3- way arrays of F test values from a repeated measures analysis of variance (ANOVA) between two stimulus conditions; (B) subject-specific 3- way analyses; and (C) an overall 5- way analysis of channel × frequency × time × subject × condition. The PARAFAC decompositions were able to extract the expected features of a previously reported ERP paradigm: namely, a quantitative difference of coherent occipital gamma activity between conditions of a visual paradigm. Furthermore, the method revealed a qualitative difference which has not previously been reported. The PARAFAC decomposition of the 3- way array of ANOVA F test values clearly showed the difference of regions of interest across modalities, while the 5- way analysis enabled visualization of both quantitative and qualitative differences. Consequently, PARAFAC is a promising data exploratory tool in the analysis of the wavelets transformed event-related EEG.


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