  We report on numerical studies of RG decimations in SU(2) gauge theory. We
study in particular a class of plaquette actions involving sums of group
representations. We measure a number of observables representative of different
length scales in order to investigate the transformation of the system under
different choices of spin blocking, and examine the flow of the effective
action couplings. A need for a projection to some class of effective actions on
the configurations resulting from the adopted numerical decimation procedures
is demonstrated. A numerical decimation procedure resulting in the effective
single plaquette Lagrangian tailored to reproduce different medium/large scale
physics is devised.
