Appendix S1 - Is Granger Causality a Viable Technique for Analyzing fMRI Data?
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Mathematical analysis of effect of downsampling and HRF convolution on Granger causality. This Appendix has two objectives. First, we provide an analytic treatment of the effect of downsampling on Granger causality for an autoregressive (AR) model of order 1 (AR(1)), to further demonstrate that Granger causality from the downsampled signal is an monotonic function of Granger causality from the original signal. Second, we show that HRF convolution preserves and in fact enhances the monotonic relationship. (DOCX)
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2015-12-02
