THE STATISTICAL DESIGN OF CUSUM CHARTS

A number of popular statistical quality control textbooks and computer packages use the method of N.L. Johnson to design cumulative sum (CUSUM) charts. It has been shown that this method results in CUSUM charts with statistical properties quite differen..

[1]  Douglas C. Montgomery,et al.  Introduction to Statistical Quality Control , 1986 .

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

[3]  William H. Fellner.  Algorithm AS 258: Average Run Lengths for Cumulative Sum Schemes , 1990 .

[4]  D. Coleman.  Statistical Process Control—Theory and Practice , 1993 .

[5]  Stephen G. Kellison,et al.  Fundamentals of numerical analysis , 1976 .

[6]  William H. Woodall,et al.  The design of CUSUM quality control charts , 1986 .

[7]  G. Barrie Wetherill,et al.  Statistical Process Control , 1991 .

[8]  Douglas M. Hawkins.  A fast accurate approximation for average run lengths of CUSUM control charts , 1992 .

[9]  Emmanuel Yashchin,et al.  Some aspects of the theory of statistical control schemes , 1987 .

[10]  Roger M. Sauter,et al.  Introduction to Statistical Quality Control (2nd ed.) , 1992 .

[11]  William H. Woodall,et al.  The Use (and Misuse) of False Alarm Probabilities in Control Chart Design , 1992 .

[12]  William H. Woodall,et al.  The Distribution of the Run Length of One-Sided CUSUM Procedures for Continuous Random Variables , 1983 .

[13]  D. Siegmund.  Sequential Analysis: Tests and Confidence Intervals , 1985 .

[14]  Changsoon Park,et al.  A Corrected wiener process approximation for cusum arls , 1987 .

[15]  Peter W. M. John.  Statistical Methods in Engineering and Quality Assurance , 1990 .

[16]  G. Barrie Wetherill,et al.  Sampling Inspection and Quality Control , 1969 .

[17]  Lonnie C. Vance.  Computer Programs: Average Run Lengths of Cumulative Sum Control Charts for Controlling Normal Means , 1986 .

[18]  N. L. Johnson,et al.  A Simple Theoretical Approach to Cumulative Sum Control Charts , 1961 .

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

[20]  Harrison M. Wadsworth,et al.  Modern methods for quality control and improvement , 1986 .

[21]  A. Goel,et al.  Determination of A.R.L. and a Contour Nomogram for Cusum Charts to Control Normal Mean , 1971 .