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Publication detail
Patrick Langthaler, Yvonne Holler, Zuzana Hubnerova, Vitezslav Vesely and Arne C. Bathke
Original Title
EEG, Nonparametric Multivariate Statistics, and Dementia Classification
Type
book chapter
Language
English
Original Abstract
We are considering the problem of performing statistical inference with functions as independent or dependent variables. Specifically, we will work with the spectral density curves of electroencephalographic (EEG) measurements. These represent the distribution of the energy in the brain on different frequencies and therefore provide important information on the electric activity of the brain. We have data of 315 patients with various forms of dementia. For each individual patient, we have one measurement on each of 17 EEG channels. We will look at three different methods to reduce the high dimensionality of the observed functions: 1. Modeling the functions as linear combinations of parametric functions, 2. The method of relative power (i.e., integration over prespecified intervals, e.g., the classical frequency bands), and 3. A method using random projections. The quantities that these methods return can then be analyzed using multivariate inference, for example, using the R package npmv (Ellis et al., J Stat Softw 76(1): 1–18, 2017, [4]). We include a simulation study comparing the first two methods with each other and consider the advantages and shortcomings of each method. We conclude with a short summary of when which method may be used.
Keywords
Dimension reduction, Functional data, Multivariate inference, Random projection, Rank statistics
Authors
Released
20. 9. 2018
Publisher
Springer International Publishing
ISBN
978-3-319-76034-6
Book
Statistics and Simulation, IWS 8, Vienna, Austria, September 2015
Pages from
243
Pages to
257
Pages count
14
URL
https://www.springerprofessional.de/en/eeg-nonparametric-multivariate-statistics-and-dementia-classific/15772210
BibTex
@inbook{BUT145585, author="Zuzana {Hübnerová} and Vítězslav {Veselý}", title="EEG, Nonparametric Multivariate Statistics, and Dementia Classification", booktitle="Statistics and Simulation, IWS 8, Vienna, Austria, September 2015", year="2018", publisher="Springer International Publishing", pages="243--257", doi="10.1007/978-3-319-76035-3\{_}17", isbn="978-3-319-76034-6", url="https://www.springerprofessional.de/en/eeg-nonparametric-multivariate-statistics-and-dementia-classific/15772210" }