I’m not arguing that there’s something fundamentally wrong with mathematics or the scientific method. I’m arguing that the social norms around how we do science in practice have some serious flaws. Gwern points out one of them. One that IMHO is quite interesting.
EDIT: I also get the feeling that you think it’s okay to do an incorrect hypothesis test (c > 0), as long as you also look at the effect size. I don’t think it is. You need to test the c > 0.3 hypothesis to get a mathematically sound hypothesis test. How many papers do that?
EDIT: I also get the feeling that you think it’s okay to do an incorrect hypothesis test (c > 0), as long as you also look at the effect size. I don’t think it is. You need to test the c > 0.3 hypothesis to get a mathematically sound hypothesis test. How many papers do that?