There are plenty of methods (cough report Bayesian likelihood ratios cough and publish your raw data cough) that are simple enough for even average scientists t

There are plenty of methods (cough report Bayesian likelihood ratios cough and publish your raw data cough) that are simple enough for even average scientists to use. They would rather use much more complicated statistics, though, because then they get to publish more papers with "significant" results. If you can handle calculus, which most scientists take, then you can handle likelihood ratios, believe me. But the incentives are terrible, which is quite a different thing from supposing that the average PhD is too dumb to learn good statistics if the incentives were strong.