A Multivariate Synthetic Control Chart for Process Dispersion

Abstract

A multivariate synthetic control chart for monitoring the covariance matrix of a normally distributed process is proposed in this paper. The proposed chart is a combination of the traditional generalized sample variance |S| chart and the conforming run length chart. The operation, design and performance of this chart are described. Average run length comparisons between some other existing control charts and the multivariate synthetic control chart are presented. It is observed that the multivariate synthetic control chart outperforms the traditional |S| chart for monitoring the covariance matrix of a normally distributed process.

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