I have carried out the following two spearman partial correlations using the "ppcor" package in R:
-- Coefficient 1 = Correlation of A1 with B controlling for C;
-- Coefficient 2 = Correlation of A2 with B controlling for C.
I have a set 234 words. For each word I have different measures (A1 and A2 are two versions of the same measure, and B and C are in common as you can see. I would like to compare the two Spearman partial Rhos but I am not sure how to proceed.
My idea would be to use bootstrapping to generate a distribution of absolute difference between the two partial correlation coefficients, to then extract the 95% confidence interval and see if it includes 0.
Do you have any suggestions?
here is the distribution of B outcome:
here is the scatterplot of the relationship between A1/A2 and B:
And here is the scatterplot of the relationship between A1/A2 and B with A1/A2 transformed for graphical purposes (Note, this transformation does not affect Spearman or Kendall tests as they are based on ranks):