  Perturbative calculations of factorized physical quantities, such as moments
of structure functions, suffer from renormalization- and factorization-scheme
dependence. The application of the principle of minimal sensitivity to
"optimize" the scheme choices is reconsidered, correcting deficiencies in the
earlier literature. The proper scheme variables, RG equations, and invariants
are identified. Earlier results of Nakkagawa and Niegawa are recovered, even
though their starting point is, at best, unnecessarily complicated. In
particular, the optimized coefficients of the coefficient function C are shown
to vanish, so that C^opt=1. The resulting simplifications mean that the
optimization procedure is as simple as that for purely-perturbative physical
quantities.
