Term of Award

Spring 2019

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Department

Department of Mathematical Sciences

Committee Chair

Charles Champ

Committee Member 1

Andrew Sills

Committee Member 2

Divine Wanduku

Abstract

Monitoring for a change in the means of p > 1 quality measurements is of interest. The performance of the charts used to monitor for a change in the means is affected by changes in the process variability resulting in a need to monitor for changes in variability. We introduce two new control charts that can be used to monitor for a change in the process covariance matrix Σ. The charts are a plot of the determinant of the multivariate exponentially weighted moving average (MEWMA) of the sample covariance matrix S versus the sample number. Performance comparisons are made with the EWMA charts based on |S| used to monitor for a change in |Σ|. The average run length (ARL) is used as a performance measure.

Research Data and Supplementary Material

No

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