“…Mathmatically, the trilinear model is expressed as in eqn. ( 2), (2) where x ijk is the ijk th element of the I 3 J 3 K three-way data array X, â ir , bIRjr and ĉkr are the i th , j th and k th row of the r th column of the estimated factor loading matrices Â, B and Ĉ, R is the rank the model and e ijk is the error in the model. The PARAFAC algorithm decomposes trilinear data in to R sets of triads, which make up the matrices Â, B and Ĉ with the dimensions I 3 R, J 3 R and K 3 R, respectively.…”