Imagine I wish to see the effect of some treatment on the correlation between two groups of variables, which I measure with Spearman's rank correlation coefficient.
Treatment A gives a Spearman's rank of 0.4, 0.44, 0.43 for my 3 replicates.
Treatment B gives a Spearman's rank of 0.48, 0.45, 0.46 for my 3 replicates
Treatment C gives a Spearman's rank of 0.47, 0.50, 0.51 for my 3 replicates.
Can I compare the groups using e.g. the Mann-Whitney U test?
N.B. I'm not looking for the correlation between the sets of variables, I'm looking to see whether a specific treatment improves the correlation.
Apologies if this question is similar to this Significance test on the difference of Spearman's correlation coefficient