> one needs to use statistics to even show GHZ works Not for the particular cases described in the quote I gave. For a complete verification of all the GHZ the

> one needs to use statistics to even show GHZ works Not for the particular cases described in the quote I gave. For a complete verification of all the GHZ theorem's predictions, yes, you need to do statistics, because some of those predictions are probabilistic. > The correlations you get in experiments are never perfect In some cases, like the ones described in the quote I gave, it isn't a matter of correlations. You have contradictory results predicted by two different models, each prediction being 100% certain according to the model. You don't need any statistics to test that: just do one single run and see which way it comes out.