“…In this report, PSO is applied after U-PLS calibration of a series of simulated and experimental data, previous to the use of RBL for achieving the second-order advantage. It should be noticed that we have data available for several experimental systems where U-PLS/RBL has shown some advantages over PARAFAC, because of the presence of deviations from tri-linearity brought about by phenomena such as: (1) linear dependency in one or both data dimensions [32,36], (2) interactions between analyte and background [29], (3) inner filter effects [31,33], (4) severe spectral overlapping [32], etc. However, in order to better appreciate the phenomenon under discussion, we have prepared a new experimental data set, where two analytes are calibrated and two potential interferents occur.…”