Statistical process control methods for monitoring processes with mult
ivariate measurements in both the product quality variable space and t
he process variable space are considered. Traditional multivariate con
trol charts based on chi(2) and T-2 statistics are shown to be very ef
fective for detecting events when the multivariate space is not too la
rge or ill-conditioned, Methods for detecting the variable(s) contribu
ting to the out-of-control signal of the multivariate chart are sugges
ted. Newer approaches based on principal component analysis and partia
l least squares are able to handle large ill-conditioned measurement s
paces; they also provide diagnostics which can point to possible assig
nable causes for the event. The methods are illustrated on a simulated
process of a high pressure low density polyethylene reactor, and exam
ples of their application to a variety of industrial processes are ref
erenced.