Title :
An Association Framework to Analyze Dependence Structure in Time Series
Author :
Fadlallah, B.H. ; Brockmeier, Austin J. ; Seth, Sachin ; Lin Li ; Keil, A. ; Principe, Jose C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Florida, Gainesville, FL, USA
fDate :
Aug. 28 2012-Sept. 1 2012
Abstract :
The purpose of this paper is two-fold: first, to propose a modification to the generalized measure of association (GMA) framework that reduces the effect of temporal structure in time series; second, to assess the reliability of using association methods to capture dependence between pairs of EEG channels using their time series or envelopes. To achieve the first goal, the GMA algorithm was updated so as to minimize the effect of the correlation inherent in the time structure. The reliability of the modified scheme was then assessed on both synthetic and real data. Synthetic data was generated from a Clayton copula, for which null hypotheses of uncorrelatedness were constructed for the signal. The signal was processed such that the envelope emulated important characteristics of experimental EEG data. Results show that the modified GMA procedure can capture pairwise dependence between generated signals as well as their envelopes with good statistical power. Furthermore, applying GMA and Kendall´s tau to quantify dependence using the extracted envelopes of processed EEG data concords with previous findings using the signal itself.
Keywords :
electroencephalography; medical signal processing; neurophysiology; reliability; time series; EEG channels; EEG data; GMA algorithm; GMA procedure; Kendalls tau; association framework; association methods; clayton copula; dependence structure; generalized measurement; pairwise dependence; reliability; signal construction; signal generation; signal processing; statistical power; synthetic data; temporal structure; time series; Correlation; Electroencephalography; Face; Mutual information; Random variables; Time measurement; Time series analysis; Algorithms; Electroencephalography;
Conference_Titel :
Engineering in Medicine and Biology Society (EMBC), 2012 Annual International Conference of the IEEE
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4244-4119-8
Electronic_ISBN :
1557-170X
DOI :
10.1109/EMBC.2012.6347404