I am trying to test the concurrence of a plant and a microbial community (2 matrices, d1, d2) with Procrustes analysis and protest in vegan. Although the Procrustes residuals are quite high, Protest tells me that the communities are highly significant (with a sum of squares near zero). I am confused why the residuals are high (signaling that the concurrence is low) while the Protest function says otherwise. Can anyone shed light on this issue?
# Protest to test significance
prot<-protest(x = scores_pca1, y = scores_pca2,permutations = 9999)
prot
Call:
protest(permutations = 9999, x = scores_pca1, y = scores_pca2)
Procrustes Sum of Squares (m12 squared): 2.22e-16
Correlation in a symmetric Procrustes rotation: 1
Significance: 1e-04
Permutation: free
Number of permutations: 9999
I am trying to test the concurrence of a plant and a microbial community (2 matrices, d1, d2) with Procrustes analysis and protest in vegan. Although the Procrustes residuals are quite high, Protest tells me that the communities are highly significant (with a sum of squares near zero). I am confused why the residuals are high (signaling that the concurrence is low) while the Protest function says otherwise. Can anyone shed light on this issue?
An example: example_data1.csv example_data2.csv