Multivariate assessment of event-related potentials with the t-CWT method.

Background: Event-related brain potentials (ERPs) are usually assessed with univariate statistical tests although they are essentially multivariate objects. Brain-computer interface applications are a notable exception to this practice, because they are based on multivariate classification of single...

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Published in:BMC Neuroscience Vol. 16; pp. 1 - 21
Main Author: Bostanov, Vladimir
Format: equations & formulas tables/charts Journal Article
Published: BioMed Central 11/5/2015
Online Access:View this record in EBSCOhost
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      dt: 11/5/2015
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      pub: BioMed Central
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        10.1186/s12868-015-0185-z
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        atl: Multivariate assessment of event-related potentials with the t-CWT method.
      aug:
        au: Bostanov, Vladimir
        affil: Institute of Medical Psychology and Behavioral Neurobiology, University of Tübingen, Gartenstr. 29, 72074 Tübingen, Germany
      sug:
        subj:
          Multivariate Analysis
          Electroencephalography Methods
          Evoked Potentials Physiology
          Data Analysis, Statistical
          Signal Processing, Computer Assisted
          Factor Analysis
      ab: Background: Event-related brain potentials (ERPs) are usually assessed with univariate statistical tests although they are essentially multivariate objects. Brain-computer interface applications are a notable exception to this practice, because they are based on multivariate classification of single-trial ERPs. Multivariate ERP assessment can be facilitated by feature extraction methods. One such method is t-CWT, a mathematical-statistical algorithm based on the continuous wavelet transform (CWT) and Student's t-test.Results: This article begins with a geometric primer on some basic concepts of multivariate statistics as applied to ERP assessment in general and to the t-CWT method in particular. Further, it presents for the first time a detailed, step-by-step, formal mathematical description of the t-CWT algorithm. A new multivariate outlier rejection procedure based on principal component analysis in the frequency domain is presented as an important pre-processing step. The MATLAB and GNU Octave implementation of t-CWT is also made publicly available for the first time as free and open source code. The method is demonstrated on some example ERP data obtained in a passive oddball paradigm. Finally, some conceptually novel applications of the multivariate approach in general and of the t-CWT method in particular are suggested and discussed.Conclusions: Hopefully, the publication of both the t-CWT source code and its underlying mathematical algorithm along with a didactic geometric introduction to some basic concepts of multivariate statistics would make t-CWT more accessible to both users and developers in the field of neuroscience research.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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