Clarification on pca_pairwise_permanova.csv Output from MetaboAnalyst

I think that the “pca_pairwise_permanova.csv” file downloaded from MetaboAnalyst contains numerical values that show the separation of groups by PCA, but since there is no accompanying explanation, I would like to check a few things.

  1. Regarding the P-value: I understand that this is a numerical index that assigns a probability to groups that appear to be visually separated in the score plot. Is this interpretation generally correct?
  2. Regarding the R^2 value: What exactly is this value evaluating?