Is it possible to determine whether one model's Spearman rank is significantly better than that of another model based on the p-values for each?
Let's say that I have
model 1: $\rho_s$ = 0.9, p-value = 1.5E-10
model 2: $\rho_s$ = 0.86, p-value = 1E-10
Can I reject or accept the hypothesis that model 1 has a better Spearman rank than model 2 based on a criteria/formula/method which involves their p-values?
The models make predictions of a molecular property that I know from experiment. I have results for 50 molecules. So I have two sets of predictions of length 50, and one set of experimental results of length 50.
I have decided to simply Bootstrap the $\rho_s$. This gives a confidence interval I can live with.