Multivariate charting techniques: a review and a line‐column approach

The primary objective of multivariate statistical process control is to monitor the related process quality characteristics over time and identify the assignable causes affecting the process using multivariate control charts. When an out-of-control signal is obtained from the chart, it is imperative to be able to detect the component variables that have gone out-of-control. In this paper we propose a new charting procedure for T2, multivariate exponentially weighted moving average and multivariate cumulative sum control charts. The proposed charts will facilitate in identification of the source of out-of-control signal and are simple, economical and easier to implement. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  Yoav Benjamini,et al.  Multivariate Profile Charts for Statistical Process Control , 1994 .

[2]  Ali A. Houshmand,et al.  SIMULTANEOUS REPRESENTATION OF MULTIVARIATE AND CORRESPONDING UNIVARIATE X¯ CHARTS USING LINE-GRAPH , 1995 .

[3]  Loon Ching Tang,et al.  QUALITY NOTES: Simultaneous monitoring of univariate and multivariate SPC information using boxplots , 1998 .

[4]  Marion R. Reynolds,et al.  Combinations of Multivariate Shewhart and MEWMA Control Charts for Monitoring the Mean Vector and Covariance Matrix , 2008 .

[5]  Connie M. Borror,et al.  Robustness properties of multivariate EWMA control charts , 2003 .

[6]  Nola D. Tracy,et al.  Multivariate Control Charts for Individual Observations , 1992 .

[7]  Shing I. Chang,et al.  Multivariate EWMA control charts using individual observations for process mean and variance monitoring and diagnosis , 2008 .

[8]  W. Cleveland,et al.  Graphical Perception: Theory, Experimentation, and Application to the Development of Graphical Methods , 1984 .

[9]  B. W. Ang,et al.  Simultaneous Monitoring of Sample and Group Autocorrelations , 2002 .

[10]  George C. Runger,et al.  Designing a Multivariate EWMA Control Chart , 1997 .

[11]  Connie M. Borror,et al.  Design Strategies for the Multivariate Exponentially Weighted Moving Average Control Chart , 2004 .

[12]  N. José Alberto Vargas,et al.  Robust Estimation in Multivariate Control Charts for Individual Observations , 2003 .

[13]  Linda W. Blazek,et al.  Displaying Multivariate Data Using Polyplots , 1987 .

[14]  Charles W. Champ,et al.  A multivariate exponentially weighted moving average control chart , 1992 .

[15]  Stelios Psarakis,et al.  Multivariate statistical process control charts: an overview , 2007, Qual. Reliab. Eng. Int..

[16]  R. Crosier.  Multivariate generalizations of cumulative sum quality-control schemes , 1988 .

[17]  Douglas C. Montgomery,et al.  A review of multivariate control charts , 1995 .

[18]  Zachary G. Stoumbos,et al.  Robustness to Non-Normality of the Multivariate EWMA Control Chart , 2002 .

[19]  Douglas C. Montgomery,et al.  Statistically constrained economic design of the multivariate exponentially weighted moving average control chart , 2001 .