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The recommendations by Muff and colleagues are an incoherent approach to statistical inferences, and should only be used if one wants to signal a misunderstanding of p-values. Coherent alternatives to quantify evidence exist, such as likelihoods and Bayes factors. Therefore, researchers should not follow the recommendation by Muff and colleagues to report p = 0.08 as ‘weak evidence’, p = 0.03 as ‘moderate evidence’, and p = 0.168 as ‘no evidence’.
Daniël Lakens (Tue,) studied this question.