Authors' reply to the Discussion of 'Safe testing'

We thank all discussants, and especially the proposer and the seconder of the vote of thanks, for their insightful and encouraging contributions. We are particularly delighted by the diversity of philosophical positions found among the respondents (both nullistic and non-nullistic Bayesians, frequentists, likelihoodists)—apparently we struck a chord among all these groups, which was exactly what we had hoped for with this paper. We received so many comments that it is impossible for us to respond to each of them—freely paraphrasing (Diaconis & Freedman, 1986, page 86), we hope discussants whose remarks were not or not all singled out for reply will not feel insulted, on the theory that silence is consent, and no news is good news.

We grouped major themes, brought up by several discussants, into Sections 2–5. This is followed by a final section with some more specific issues and questions.