"Credible evidence" refers to information or proof that is reliable, trustworthy, and believable. It is evidence that can be trusted and is based on facts or reliable sources. Full definition
It focuses on the design of primary data collection and analysis practices that provide credible evidence of a program's impacts. (bren.ucsb.edu)
Without there being credible evidence for some real effect few responsible researchers would see this as a field of research that they would want to get involved in. (ramblingsdc.net)
If I found credible evidence that sleep training was harmful, in any way, I would say so. (expectingscience.com)