Subclasses in Mixing Correlated Growth Processes with Randomness

We show that in the construction of continuum equations for competitive growth processes that are a mixture of random deposition and a correlation process, a distinction must be made within a $\mathit{\text{single}}\mathit{\text{universality}}\mathit{\text{class}}$ between depositions that do and do not create voids in the bulk. Within these subclasses the bulk morphology is reflected in the surface roughening via $\mathit{\text{nonuniversal}}$ prefactors in the universal scaling of the surface width.