The random coefficient two-stage regression algorithm with the collisional Maxwell-Vlasov constraint is applied to the ITER H-mode confinement database. The data violate the collisional Maxwell-Vlasov constraint at the 10-30% significance level, probably owing to radiation losses. The dimensionally constrained scaling, τE = 0.07192M1/2 (R/a)-0.221 R1.568 κ0.300 Ip0.904 Bt0.201 n0.106 P-0.493, is similar to ITER89P with a slightly stronger size dependence