Sequential and orthogonalized PLS (SO-PLS) regression for path analysis: Order of blocks and relations between effects

Summary

This paper is about the use of the multiblock regression method sequential
and orthogonalized partial least squares (SO-PLS) for path modeling. The
paper is a follow up of previously published papers on the same topic and
presents a number of new results for the method. First of all, the paper
discusses more thoroughly the aspect of how to incorporate blocks in the
models and relates this to standard concepts in the area of graphical
modeling. Second, the paper defines the concept of direct and indirect
effects more precisely in terms of population parameters and shows how
they are related to the additional effect in SO-PLS modeling. The paper
illustrates the theory by simple graphs, simulations, and a real example
from process monitoring.

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DOI : doi.org/10.1002/cem.3243
NVA : hdl.handle.net/11250/2687284