Multivariate Cumulative Sum Control Chart for Dispersion Matrix

  • Published : 2002.10.31

Abstract

Several different control statistics to simultaneously monitor dispersion matrix of several quality variables are presented since different control statistics can be used to describe variability. Multivariare cumulative sum (CUSUM) control charts are proposed and the performances of the proposed CUSUM charts are evaluated in terms of average run length (ARL). Multivariate Shewhart charts are also proposed to compare the properties of the proposed CUSUM charts. The numerical results show that multivariate CUSUM charts are more efficient than multivariate Shewhart charts for small or moderate shifts. And we also found that small reference value of the CUSUM chart is more efficient for small shift.

Keywords

References

  1. The Encyclopedia of Statisitical Sciences Multivariate Quality Control Alt, F.B.;S. Kotz(ed.);Johnson(ed.)
  2. Journal of Quality Technology v.33 CUSUM Control Charts with Variable Sample Sizes and Sampling Intervals Arnold, J.C.;Reynolds, M.R.
  3. Journal of Quality Technology v.27 A Cumulative Sum Control Chart for Monitoring Procee Variance Chang, T.C.;Gan, F.F.
  4. Technometrics v.30 Multivariate Generalization of Cumulative Sum Quality-Control Scheme Crosier, R.B.
  5. Journal of Industrial Engineering v.19 The Multicharacteristic Control Chart Ghare, P.H.;Torgersen, P.E.
  6. Techniques of Statistical Analysis Multivariate Quality Control Hotelling, H.
  7. Technometrics v.1 Quality Control Methods for Several Related Variables Jackson, J.S.
  8. Journal of Quality Technology v.22 Comparisons of Multivariate CUSUM Charts Pignatiello, J.J., Jr.;Runger, G.C.
  9. Journal of Quality Technology v.29 Designing a Multivariate EWMA Control Chart Prabhu, S.S.;Runger, G.C.
  10. ASQC Quality Congress Transactions Designing Control Charts for Means and Variances Reynolds, M.R., Jr.;Chosh, B.K.
  11. Technometrics v.27 Multivariate CUSUM Quality Control Procedure Woodall, W.H.;Ncube, M.M.