Towards a Skill Ratio : is it a joke ?

[Jetto2]

Thank you for your answer.

I think I have been confused because you say "... randomly select ½ of a player’s at bats and compute the average. Then take the remaining ½ of that player’s at bats and compute the average"

But I didn't do the same as you because I didn't calculate the correlation of the mean but the mean of the correlation. This at least where I'm wrong.