With process computers routinely collecting measurements on large numb
ers of process variables, multivariate statistical methods for the ana
lysis, monitoring and diagnosis of process operating performance have
received increasing attention. Extensions of traditional univariate Sh
ewhart, CUSUM and EWMA control charts to multivariate quality control
situations are based on Hotelling's T-2 statistic. Recent approaches t
o multivariate statistical process control which utilize not only prod
uct quality data (Y), but also all of the available process variable d
ata (X) are based on multivariate statistical projection methods (Prin
cipal Component Analysis (PCA) and Partial Least Squares (PLS)). This
paper gives an overview of these methods, and their use for the statis
tical process control of both continuous and batch multivariate proces
ses. Examples are provided of their use for analysing the operations o
f a mineral processing plant, for on-line monitoring and fault diagnos
is of a continuous polymerization process and for the on-line monitori
ng of an industrial batch polymerization reactor.