Process capability analysis often entails characterizing or assessing proce
sses or products based on more than one engineering specification or qualit
y characteristic. When these variables are related characteristics, the ana
lysis should be based on a multivariate statistical technique. In this expo
sitory paper, three recently proposed multivariate methodologies for assess
ing capability are contrasted and compared. Through the use of several grap
hical and computational examples, the information summarized by these metho
dologies is illustrated and their usefulness is discussed.