Statistical monitoring of the covariance matrix in multivariate processes: A literature review. Issue 3 (27th May 2022)

• Record Type: Journal Article
• Authors: Ebadi, Mohsen; Chenouri, Shojaeddin; Lin, Dennis K. J.; H. Steiner, Stefan
• Is Part Of: Journal of quality technology. Volume 54:Issue 3(2022)
• Page Start: 269
• Page End: 289
• Publication Date: 2022-05-27
• Subjects: covariance matrix -- multivariate control charts -- Phase I and Phase II -- statistical process monitoring (SPM); Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2021.1889419
• Languages: English
• ISSNs: 0022-4065

Abstract

Abstract: Monitoring several correlated quality characteristics of a process is common in modern manufacturing and service industries. Although a lot of attention has been paid to monitoring the multivariate process mean, not many control charts are available for monitoring the covariance matrix. This paper presents a comprehensive overview of the literature on control charts for monitoring the covariance matrix in a multivariate statistical process monitoring (MSPM) framework. It classifies the research that has previously appeared in the literature. We highlight the challenging areas for research and provide some directions for future research.