Can we resolve contradictions between process dissociation models?

Wainwright and Reingold (1996) presented equations for various versions of the process dissociation procedure that has been used to separate conscious and unconscious memory process. In the present reply it is suggested that these equations, though helpful, may not capture some of the key theoretical possibilities that could help to resolve apparent contradictions and paradoxes in the empirical literature. Specifically, there could be an independence of processes that might be estimated to a sufficient degree of accuracy for some theoretical purposes despite a violation of the assumption of stochastic independence.