We'll change the title from the doc heading ("It’s time for science to abandon the term ‘statistically significant’") to the page heading in the hope of stimulating something more specific.
Edit: turned out to be a dupe of https://news.ycombinator.com/item?id=12685177.
It's mind-blowing how bad the mathematical analysis is within the social sciences. As an undergraduate, the social science mathematics center chided me for using (standard) data-mining techniques as "fishing for results" despite having compensated for the number of parallel tests.
Later I learned that social science labs run pilot studies until they see a result and run a full study. Everyone is fishing for results, they are just claiming that each cast of their line is independent.
3-sigma should be the standard and no journal should accept a p-value greater than .01.