The process-dissociation procedure is designed to provide quantitative
estimates of the influence of explicit and implicit memory in a varie
ty of tasks. The procedure relies on the assumption that these two for
ms of memory produce independent influences on performance. Prior inve
stigators have attempted to test this assumption by determining whethe
r the parameter representing the influence of implicit memory (denoted
A) is constant across experimental conditions. I argue that the const
ancy of A cannot provide an appropriate test of the independence assum
ption, because (1) the prediction of constancy can be generated withou
t the assumption of independence, obviating the need to posit independ
ence; and (2) the constancy of A does not necessarily imply independen
ce, even if one assumes that a dependency hypothesis, supplemented by
ancillary assumptions (Curran & Hintzman, 1995), pre diets differences
in A. I close by emphasizing that we can test the independence assump
tion by using standard procedures that compare the fit of a model that
assumes independence with the fit of a model that assumes dependence.