Hello Anderson Winkler,
I am trying to read and understand your article "Non-Parametric Combination and Related Permutation Tests for Neuroimaging" specifically the idea behind performing synchronised permutations. I came across the following text in the article
"Moreover, non-independence does not need to be explicitly modelled, either between observations, between partial tests, or across space for imaging data, thus making such tests applicable to a wide variety of situations."
1) I understand that dependency between the input modalities need not be modelled between partial tests. Then, why synchronised permutations is performed for all the partial tests? Why not non-synchronised permutations?
2) Why is the combining function not applied directly on the input modalities? What is the idea behind partial p-values?
Thank you for your time.
Best wishes
Jay
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