I would like to export cortical thickness measures and compare the data
across subjects in a vertex-by-vertex fashion.

Please could you confirm that similar functions such as mri_glmfit are based
on the parameters in template space e.g. lh.thickness.fsaverage.mgh and not
on the parameters in native space e.g. lh.thickness.

So for a group comparison I would have to export the files in template space
(e.g. lh.thickness.fsaverage.mgh) and could then map the output back onto
the template?

Also, why are the parameters not the same in native and template space?

Finally, in order to compare groups on the basis of the parcellated regions
(e.g. lh.aparc.stats). Are parameters such as area, volume, curvature etc
comparable across groups or would they still have to be corrected for
whole-brain volume?

I would be very grateful if you could help me further.

Thank you!

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