The technical brief by Roache 1 presents seven criticisms of the correction factor verification method proposed by the authors and colleagues in 2,3,4. The authors acknowledge Dr. Roache’s careful review and insightful comments of our work. We have addressed Dr. Roache’s first criticism and revised the correction factor uncertainty estimates; however, we rebut the other criticisms.

1. The uncorrected $Uk$ and corrected $UkC$ solution uncertainty estimates given by Eqs. (33) and (34) in 2 are deficient for correction factor $Ck⩽1$ and $Ck=1,$ respectively, in only providing 50% uncertainty estimate (confidence level), as pointed out by Dr. Roache. In 4, Eq. (33) in 2 was revised for proper behavior for $Ck<1:$ increasing factor of safety for decreasing $Ck$ (i.e., distance from the asymptotic range) similarly as is case for $C...$