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

Morten Mørup, Lars Kai Hansen, Christoph S Herrmann, Josef Parnas, Sidse M Arnfred

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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 x frequency x 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 x frequency x 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 x frequency x time x subject x condition. A flow chart is presented on how to perform data exploration using the PARAFAC decomposition on multi-way arrays. This includes (A) channel x frequency x 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 x frequency x time x subject x 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.

Original languageEnglish
JournalNeuroImage
Volume29
Issue number3
Pages (from-to)938-47
Number of pages10
ISSN1053-8119
DOIs
Publication statusPublished - 1 Feb 2006

Keywords

  • Adult
  • Algorithms
  • Data Interpretation, Statistical
  • Electroencephalography/statistics & numerical data
  • Evoked Potentials/physiology
  • Evoked Potentials, Visual/physiology
  • Factor Analysis, Statistical
  • Humans
  • Male
  • Occipital Lobe/physiology
  • Photic Stimulation

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