Recent studies have shown that cluster-wise family-wise error rate (FWE) corrected inferences made in parametric statistical methods based fMRI studies over the past couple of decades were invalid due to incorrect these methods incorrectly specifying that spatial auto-correlation functions (sACF) of fMRI data had a gaussian shape. In this study we proposed a method to obtain fMRI inferential statistic residuals with gaussian sACF. Results show that this method substantially increases the detection power of group-level inference tests while not significantly changing the voxelwise statistic maps. Additionally it makes inferences based on assumption of gaussian sACF valid again.
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