A Novel CUSUM Median Control Chart

This work presents a novel Cumulative Sum (CUSUM) median control chart. Based on experience, some processes occasionally have outliers. The mean control charts are sensitive to outliers, and the median control charts are outliers-resistant. In this paper, several mean control charts, the proposed CUSUM median control chart, and two median control charts are used for comparison. With various shifts of the process sample mean, the average run lengths of control charts are evaluated under some contaminated normal distributions. The simulation result reveals that the outlier-resistance of the CUSUM median chart performs best, and the shifts-detecting ability of the CUSUM median chart is similar to those of the EWMA median chart and the mean charts.

[1]  Fah Fatt Gan,et al.  An optimal design of CUSUM quality control charts , 1991 .

[2]  James M. Lucas,et al.  The Design and Use of V-Mask Control Schemes , 1976 .

[3]  Stephen V. Crowder,et al.  Design of Exponentially Weighted Moving Average Schemes , 1989 .

[4]  Sheldon M. Ross,et al.  A Course in Simulation , 1990 .

[5]  Shey-Huei Sheu,et al.  The Generally Weighted Moving Average Median Control Chart , 2006 .

[6]  A. L. Goel,et al.  Cumulative Sum Control Charts , 2004 .

[7]  Douglas C. Montgomery,et al.  Statistically constrained economic design of the EWMA control chart , 1995 .

[8]  E. S. Page.  CONTINUOUS INSPECTION SCHEMES , 1954 .

[9]  Anju Vyas.  Print , 2003 .

[10]  Philippe Castagliola.  An (X/R)-EWMA Control Chart for Monitoring the Process Sample Median , 2001 .

[11]  Shey-Huei Sheu,et al.  The Generally Weighted Moving Average Control Chart for Detecting Small Shifts in the Process Mean , 2003 .

[12]  William H. Woodall,et al.  THE STATISTICAL DESIGN OF CUSUM CHARTS , 1993 .

[13]  Douglas M. Hawkins.  CUMULATIVE SUM CONTROL CHARTING: AN UNDERUTILIZED SPC TOOL , 1993 .

[14]  Fred Spiring,et al.  Introduction to Statistical Quality Control , 2007, Technometrics.

[15]  Philippe Castagliola.  Approximation of the normal sample median distribution using symmetrical johnson SU distributions: application to quality control , 1998 .

[16]  Michael B. C. Khoo,et al.  A Control Chart Based on Sample Median for the Detection of a Permanent Shift in the Process Mean , 2005 .