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Val comments on How to provide a simple example to the requirement of falsifiability in the scientific method to a novice audience? - Less Wrong
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If this would be enough to prove the effectiveness of rain-dancing, then we would develop 30 different styles of rain-dance, test each of them, and with a very high chance we would get p<0.05 on at least one of them.
Sadly, the medical industry is full of such publications, because publishing new ideas is rewarded more than reproducing already published experiments.