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Apr 16, 2021 at 13:24 comment added Álvaro Méndez Civieta If the samples were independent then both methods should provide exactly the same result. For this, I recommend you to always use the 3rd column approach and forget about the other way. It keeps things simpler. And yes, you should use the 3rd column also for the standard dev.
Apr 15, 2021 at 18:57 comment added gülsemin Thanks for the answer! Yes my samples are highly correlated such that I get 0.986014 and 0.98846 for spearman and pearson coefficient, respectively. So if my two samples were independent then I could always say 𝐸(𝑥𝑦)=𝐸(𝑥)𝐸(1/𝑦). Then which method would give me a better result?
Apr 15, 2021 at 18:45 vote accept gülsemin
Apr 15, 2021 at 18:45 comment added gülsemin Also to calculate the standard error, again, the best I can do is calculating the 3rd row and computing the standard error of that row?
Apr 15, 2021 at 13:18 history answered Álvaro Méndez Civieta CC BY-SA 4.0