# Comparing Spearman rank correlations between many dependent lists

I have a list of values $$S$$. I want to compare the Spearman correlations of $$S$$ with $$N$$ other lists of values $$O_k$$ ( $$k∈[N]$$ ). The lists $$O_k$$ are not independent. Each value $$O_k^j$$ ( $$j∈[|O_k|]$$ ) in $$O_k$$ is correlated with the corresponding value $$O_{k+1}^j$$ in $$O_{k+1}$$.

If the lists were independent, I assume I could use standard multiple comparisons corrections to adjust my $$\alpha$$ for significance testing - but my intuition is that this would be too conservative given the dependences between the lists. Is there a suitable method for setting my $$\alpha$$ in this case? Does it depend on the nature of the dependence between the $$O_k$$s?

I found this related question: Comparing two dependent Spearman's rank correlation coefficients but I'm not sure the answer helps me (especially as I can't get behind the linked article paywall...)

PS: apologies for any sloppy notation......