Let A be a nonnegative regular summability method. In this paper we deal with various subspaces of A-statistically convergent sequences by using the rate of convergence concept. We show, under certain conditions, that these subspaces cannot be endowed with a locally convex FK-topology. We also describe multipliers for bounded A-statistically convergent and bounded A-statistically null sequences with the appropriate rate and provide a Steinhaus type result.