The equivalence of Tucker3 and Parafac models with two components

This study investigates similarities and differences between Tucker3 models with two components for each mode and Parafac models with two components. If the core array of the 2 × 2 × 2 Tucker3 model is of rank 2 the solutions contain exactly the same information, but they do not when the rank of the core array is three. Two illustrative applications show the effect the different core arrays have on the solutions and their interpretability.