Determination of the number of principal components for disturbance detection and isolation

This paper examines and compares various stopping rules and cross-validation procedures for the selection of the number of principal components to retain for the development of models for the on-line disturbance detection and isolation in statistical process control. The specific methods investigated are: the percent of variance, the scree test, parallel analysis, and the PRESS statistic. Although comparisons of this type have been published previously for other types of problems, where the data used were static, it is necessary to determine what will work best for the problems of disturbance detection and isolation utilizing data that might also have dynamic information.