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<p>@Torveaux I am not a math expert either. I am just a scientist and use statistics a lot on my daily work. We do use correlation as a suggestion of causation all the time in our publication though. Perhaps they are not looking for higher scores, but they are looking for best candidates who happen to have higher score. The reality is, the best candidate is less likely to have weaker scores and that is what the correlation is telling. When the best candidate is correlated with higher score, it also suggests having a weaker score would make it less likely to be the best candidate. Statistics is not a direct proof of a statement, it is just an assessment of the validity of a statement versus possibility of something happens by chance.</p>