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Spatial permutation null model

RM Ross D. Markello
JH Justine Y. Hansen
ZL Zhen-Qi Liu
VB Vincent Bazinet
GS Golia Shafiei
LS Laura E. Suárez
NB Nadia Blostein
JS Jakob Seidlitz
SB Sylvain Baillet
TS Theodore D. Satterthwaite
MC M. Mallar Chakravarty
AR Armin Raznahan
BM Bratislav Misic
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The spatial permutation procedure used in the present report generates spatially constrained null distributions by applying random rotations to spherical projections of a cortical surface38. A rotation matrix (R) is applied to the three-dimensional coordinates of the cortex (V) to generate a set of rotated coordinates (Vrot = VR). The permutation is constructed by replacing the original values at each coordinate with those of the closest rotated coordinate. Rotations are generated independently for one hemisphere and then mirrored across the anterior–posterior axis for the other.

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