I have a situation where I have 3 treatments/conditions A, B, C. For each condition I have multiple trials.
I compare the means of trials under each condition A, B and C. This gives me 3 values.
Then I am computing a difference A-B and A-C. I need to obtain confidence interval/error bars for the single value obtained when I do the subtraction of mean response to condition A and mean response to condition B (A-B) same goes for A-C. Essentially I want to ask is the difference seen in mean response A-B different from mean response A-C.
I know potentially some bootstrapping/permutation test is what is needed but not sure which way to do this since its not a direct comparison of mean of A vs mean of B but rather A-B compared to A-C. Help will be appreciated.