I have carried out PERMANOVA test to assess the group dissimilarity and cross-checked with PERMDISP to see whether the dissimilarities were due to large within-group dispersions. Please refer to the attached case for my query:-
The first barplot (distances to F1) shows F1 distance is similar to F2 and S1, with permanova p-value for F1 vs F2: q=0.0132; F1 vs S1: q=0.1510. However, permdisp pairwise test shows F1 vs F2:q=0.915; F1 vs S1: q=0.915. Can I propose a statement - the composition of F1 is different to F2 (p<0.05) and the difference is not ascribed to variances within the group?
Therefore, p<0.05 in permdisp indicate there is significant differences in variance for any group?