11 Multivariate Process Monitoring and Control
Supplemental Material for Chapter 11
S11.1 Multivariate CUSUM Control Charts.
The supplemental material is on the textbook Website www.wiley.com/college/montgomery.
CHAPTER OVERVIEW AND LEARNING OBJECTIVES
In previous chapters we have addressed process monitoring and control primarily from the univariate perspective; that is, we have assumed that there is only one process output variable or quality characteristic of interest. In practice, however, many if not most process monitoring and control scenarios involve several related variables. Although applying univariate control charts to each individual variable is a possible solution, we will see that this is inefficient and can lead to erroneous conclusions. Multivariate methods that consider the variables jointly are required.
This chapter presents control charts that can be regarded as the multivariate extensions of some of the univariate charts of previous chapters. The Hotelling ...