Simple models of information integration focus essentially on the combination of the components of information. This research investigated whether cognitive variables in the constructs of intelligence and cognitive complexity, as well as concentration, could predict the conditions of simple models of judgement. As additional predictors, the two qualitative variables [type of information] and [experience of the judgement task] were introduced. Subjects judged three types of stimuli using the pair comparison method. The conditions of the judgement models were analysed in the framework of the conjoint-measurement approach. Five different regression functions provided mediocre approximations to the 10 conditions of the models, when the 9 cognitive variables were considered. The small differences did not favour one of the five functions. The introduction of the qualitative predictor [type of information] improved the estimations more clearly than the experience of the judgement task, the effect of which was small.