Using ROC curves to test models of recognition memory: the relationship between presentation duration and slope

Many theories of memory predict that the slope of the z-transformed receiver-operating characteristic (ROC) curve should decrease with increases in the memory strength of old items. While several prior studies have failed to demonstrate this effect, the results of two experiments demonstrate that increasing presentation duration can reduce the slope of the z-transformed ROC curve. These results raise questions about the generality of prior results and of dual-process theories designed to accommodate those results. We close by emphasizing that determining the experimental circumstances that affect whether or not the slope of the z-transformed ROC curve decreases will provide important constraints on theories of recognition memory.