Hypotheses testing: is it good for science?

Despite being a standard tool for data analysis in many scientific fields, statistical testing has always been associated to criticism and controversies. Recently, the debate on the role of statistical testing in science has been particularly vivid and coupled with the debate on the lack of reproducibility of scientific results in many disciplines. We review some recent critics and purported consequences of statistical testing use and abuse and discuss proposed remedies, which entails either improving testing or abandoning it for alternative, more appropriate, strategies.