Supporting the Redefinition of Statistical Significance
Recently an article entitled `Redefining Statistical Significance' (RSS) has been made available. In this piece a diverse bunch of authors (including four philosophers of science - represent) put forward an argument with the thesis: ``[f]or fields where the threshold for defining statistical significance for new discoveries is P <0.05, we propose a change to P <0.005.'' In this very brief note I just want to state my support for the broad principle behind this proposal and make explicit an aspect of their reasoning that is hinted at in RSS but which I think is especially worth holding clear in our minds. RSS argues that, basically, rejecting the null at P <0.05 represents (by Bayesian standards) very weak evidence against the null and in favour of the hypothesis under test, and further than its communal acceptance as the standard significance level for discovery predictably and actually leads to unacceptably many false-positive discoveries. P <0....