A Performance Analysis of Hotelling's χ2 Control Chart with Supplementary Runs Rules

Abstract Hotelling's control chart is widely employed to control several related characteristics of a process because of its simplicity. However, it has little power when detecting small or moderate process shifts. The use of supplementary runs rules is described in this article showing the average run length improvements achieved and the runs rules appearance frequency.

[1]  E. S. Page CONTROL CHARTS WITH WARNING LINES , 1955 .

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

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

[4]  John S. Oakland,et al.  Statistical Process Control , 2018 .

[5]  E. S. Page A modified control chart with warning lines , 1962 .

[6]  Joseph G. Voelkel,et al.  Guide to Quality Control , 1982 .

[7]  Charles W. Champ,et al.  Exact results for shewhart control charts with supplementary runs rules , 1987 .

[8]  A. R. Crathorne,et al.  Economic Control of Quality of Manufactured Product. , 1933 .

[9]  H. Hotelling,et al.  Multivariate Quality Control , 1947 .

[10]  Irving W. Burr The Quality Control Chart Technique , 1970 .

[11]  Francisco Aparisi,et al.  Hotelling's T2 control chart with variable sampling intervals , 2001 .

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

[13]  Joseph J. Pignatiello,et al.  On constructing T2 control charts for on-line process monitoring , 1999 .

[14]  Layth C. Alwan Cusum quality control-multivariate approach , 1986 .

[15]  Charles W. Champ,et al.  The Performance of Control Charts for Monitoring Process Variation , 1995 .

[16]  George C. Runger,et al.  Comparison of multivariate CUSUM charts , 1990 .

[17]  William H. Woodall,et al.  Performance of the Control Chart Trend Rule under Linear Shift , 1988 .

[18]  Francisco Aparisi,et al.  Hotelling's T2 control chart with adaptive sample sizes , 1996 .

[19]  Charles W. Champ,et al.  Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart , 1997 .