In this paper, different three-way methods are tested for their power and s
hortcomings to solve complex second-order calibration problems. The generic
calibration problem is quantifying for an analyte in the presence of an un
known interferent: a second-order calibration problem. Due to rank restrict
ions of the data, standard second-order calibration methods like Generalize
d Rank Annihilation cannot be used to solve the type of complex second-orde
r calibration problems shown in this paper. Different real examples are tes
ted in which it is shown that the three-way methods can, to a certain exten
t, deal with the complex calibrations. This stresses the fact that all seco
nd-order calibration methods should be regarded as three-way methods, and w
hen put in this framework, can be compared with respect to their performanc
e. (C) 1999 Elsevier Science B.V. All rights reserved.