Why p-values are controversial

P-values are often misunderstood, incorrectly believed to be descriptive measures. A finding in a sample is often interpreted as practically important when p < 0.05, and a p > 0.05 is often misinterpreted as an indication of equivalence, evidence of similarity. P-values are, however, uncertainty measures. A statistically significant finding is not necessarily practically important or scientifically relevant. This has to be shown by other means than p-values. Furthermore, statistical nonsignificance cannot be used to claim equivalence because p > 0.05 just reflects uncertainty.