This paper discusses some of the contentious issues raised by van der Veen (Accred Qual Assur 8:334, 2003[1]), and Van Eenoo and Delbeke (Accred Qual Assur 8:477, 2003 [2]) concerned with the evaluation of the uncertainty of measurement and compliance decisions based on regulatory limits. Also, the criticisms of accreditation by van der Veen are considered and some general remarks about the strengths and limitations of accreditation provided. It is concluded that a position between those adopted by van der Veen and by Van Eenoo and Delbeke would be more appropriate.