  Two permutation-based methods for simultaneous inference on the proportion of
active voxels in cluster-wise brain imaging analysis have recently been
published: Notip (Blain et al. 2022) and pARI (Andreella et al. 2023). Both
rely on the definition of a critical vector of ordered p-values, chosen from a
family of candidate vectors, but differ in how the family is defined: computed
from randomization of external data for Notip and determined a priori for pARI.
These procedures were compared to other proposals in the literature, but an
extensive comparison between the two methods is missing due to their parallel
publication. We provide such a comparison and find that pARI outperforms Notip
if both methods are applied under their recommended settings. However, each
method carries different advantages and drawbacks.
