The two-stage clonal expansion model of cancer induction is tested on recorded and simulated cohort data of radon-exposed rats. Unfortunately, different versions of the model, for which radiation acts on different biological processes, can provide a good description of the data. This is the case for an initiation-transformation and an initiation-promotion model when they are applied to lung tumour data of radon-exposed rats and all malignant tumours are assumed to be incidental. However, if one were able to use information on fatal tumours as well, the two models could be separated by their deviances.