If a recognition test is followed by a cued recall test then the probability of recognition given recall generally follows the Tulving-Wiseman function. Despite this regularity two types of exceptions have been discovered. Both poor integration and cue overlap causes an observed value of recognition given recall that is higher than predicted. The present study explores the first type of exception by proposing and testing an analytical tool, which emanates from confidence ratings given to recall responses, for relating poor integration directly to variations in the degree of deviation from the function. It is demonstrated that very poor integration produces a deviation above the function, whereas a very good integration produces a deviation below the function. The effect of integration (and cue overlap) is explained by means of a conceptualization cue dependency. Support is also given to the notion that an enhanced variability of goodness of encoding contributes to an enhanced dependence between recall and recognition.