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Deepak Nag Ayyala
Testing Equality of Autocorrelation Matrices at Lag Zero: Application to Resting State Networks
While investigating Resting State Networks using fMRI image analysis, one of the important aspects is preprocessing of data to remove any unwanted trends. Likelihood ratio based tests for testing independence of variates assume independence amongst the observations. An extension of this problem to the time series setting is considered, with emphasis on testing the equality of correlation matrices at lag zero. A Wald-type test statistic is proposed for testing equality of correlation matrices between two dependent groups. MANOVA formulation for Resting State Networks (RSN) is proposed to investigate the effectiveness of several detrending methods.