The CUSUM Procedure

References

  • American Society for Quality Control (1983), ASQC Glossary and Tables for Statistical Quality Control, Milwaukee: ASQC.

  • Burr, I. W. (1969), “Control Charts for Measurements with Varying Sample Sizes,” Journal of Quality Technology, 1, 163–167.

  • Burr, I. W. (1976), Statistical Quality Control Methods, New York: Marcel Dekker.

  • Chiu, W. K. (1974), “The Economic Design of Cusum Charts for Controlling Normal Means,” Applied Statistics, 23, 420–433.

  • Duncan, A. J. (1974), Quality Control and Industrial Statistics, 4th Edition, Homewood, IL: Richard D. Irwin.

  • Goel, A. L. (1982), “Cumulative Sum Control Charts,” in S. Kotz, N. L. Johnson, and C. B. Read, eds., Encyclopedia of Statistical Sciences, volume 2, 233–241, New York: John Wiley & Sons.

  • Goel, A. L. and Wu, S. M. (1971), “Determination of A.R.L. and a Contour Nomogram for Cusum Charts to Control Normal Mean,” Technometrics, 13, 221–230.

  • Ho, C. and Case, K. E. (1994), “Economic Design of Control Charts: A Literature Review for 1981–1991,” Journal of Quality Technology, 26, 39–53.

  • Johnson, N. L. (1961), “A Simple Theoretical Approach to Cumulative Sum Control Chart,” Journal of the American Statistical Association, 56, 835–840.

  • Johnson, N. L. and Leone, F. C. (1962), “Cumulative Sum Control Charts: Mathematical Principles Applied to Their Construction and Use,” Industrial Quality Control, 18, June, 15–21; July, 29–36; August, 22–28.

  • Johnson, N. L. and Leone, F. C. (1974), Statistics and Experimental Design, volume 1, 2nd Edition, New York: John Wiley & Sons.

  • Kemp, K. W. (1961), “The Average Run Length of the Cumulative Sum Control Chart When a 'V' Mask Is Used,” Journal of the Royal Statistical Society, Series B, 23, 149–153.

  • Lucas, J. M. (1976), “The Design and Use of V-Mask Control Schemes,” Journal of Quality Technology, 8, 1–12.

  • Lucas, J. M. and Crosier, R. B. (1982), “Fast Initial Response for CUSUM Quality Control Schemes: Give Your CUSUM a Head Start,” Technometrics, 24, 199–205.

  • Montgomery, D. C. (1980), “The Economic Design of Control Charts: A Review and Literature,” Journal of Quality Technology, 12, 75–87.

  • Montgomery, D. C. (1996), Introduction to Statistical Quality Control, 3rd Edition, New York: John Wiley & Sons.

  • Nelson, L. S. (1984), “The Shewhart Control Chart—Tests for Special Causes,” Journal of Quality Technology, 15, 237–239.

  • Nelson, L. S. (1985), “Interpreting Shewhart $\bar{X}$ Control Charts,” Journal of Quality Technology, 17, 114–116.

  • Ryan, T. P. (1989), Statistical Methods for Quality Improvement, New York: John Wiley & Sons.

  • Svoboda, L. (1991), “Economic Design of Control Charts: A Review and Literature Survey (1979–1989),” in J. B. Keats and D. C. Montgomery, eds., Statistical Process Control in Manufacturing, New York: Marcel Dekker.

  • van Dobben de Bruyn, C. S. (1968), Cumulative Sum Tests: Theory and Practice, Griffin’s Statistical Monographs & Courses, No. 24, New York: Hafner Publishing.

  • Wadsworth, H. M., Stephens, K. S., and Godfrey, A. B. (1986), Modern Methods for Quality Control and Improvement, New York: John Wiley & Sons.

  • Wetherill, G. B. (1977), Sampling Inspection and Quality Control, 2nd Edition, New York: Chapman & Hall.