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Quality Control

Number of Replications Required in Control Chart Monte Carlo Simulation Studies

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Pages 1075-1087 | Received 01 Nov 2006, Accepted 01 Jan 2007, Published online: 28 Aug 2007

References

  • Albin , S. L. , Kang , L. , Shea , G. ( 1997 ). An X and EWMA chart for individual observations . J. Qual. Technol. 29 : 41 – 48 .
  • Aparisi , F. , Champ , C. W. , García-Díaz , J. C. ( 2004 ). A performance analysis of Hotelling's χ2 control chart with supplementary run rules . Qual. Eng. 16 : 359 – 368 .
  • Balkin , S. D. , Lin , D. K. ( 2001 ). Performance of sensitizing rules on Shewhart control charts with autocorrelated data . Int. J. Reliabil. Qual. Safety Eng. 8 : 159 – 171 .
  • Beneke , M. , Leemis , L. M. , Schiegel , R. E. , Foote , B. L. ( 1988 ). Spectral analysis in quality control: a control chart based on the periodogram . Technometrics 30 : 63 – 70 .
  • Bradley , J. V. ( 1978 ). Robustness? Br. J. Math. and Statis. Psych. 31 : 144 – 152 .
  • Brooks , C. ( 2002 ). Solutions to the review questions at the end of Chapter 10 in Introductory Economics for Finance. Retrieved from http://www.cambridge.org/resources/0521790182/1565-69060.doc
  • Chakraborti , S. , Wiel , M. A. ( 2004 ). A nonparametric control chart based on the Mann–Whitney Statistic . J. Qual. Technol. Submitted, in second revision .
  • Chan , L. K. , Zhang , J. ( 2000 ). Some issues in the design of EWMA charts . Commun. Statist. Simul. Computat. 29 : 207 – 217 .
  • Chang , T. C. , Gan , F. F. ( 2004 ). Shewhart charts for monitoring the variance components . J. Qual. Technol. 36 : 293 – 308 .
  • Chen , G. , Zhang , L. ( 2002 ). A note on EWMA charts for monitoring mean changes in normal processes . Commun. Statist. Simul. Computat. 31 : 649 – 661 .
  • Cheng , C. S. ( 1997 ). A neural network approach for the analysis of control chart patterns . Inter. J. Production Res. 35 : 667 – 697 .
  • Choi , S. W. , Lee , S. H. ( 2000 ). A general multivariate EWMA control chart . Inter. J. Manage. Sci. 6 : 1 – 20 .
  • Davis , R. B. , Krehbiel , T. C. ( 2002 ). Shewhart and zone control chart performance under linear trend . Commun. Statist. Simul. Computat. 31 : 91 – 96 .
  • Does , R. J. M. M. , Koning , A. J. ( 2000 ). CUSUM charts for preliminary analysis of individual observations . J. Qual. Technol. 32 : 122 – 132 .
  • Fan , X. , Felsövályi , Á. , Sivo , S. A. , Keenan , S. C. ( 2002 ). SAS for Monte Carlo Studies: A Guide for Quantitative Researchers . North Carolina : SAS Institute Inc .
  • Fellner , W. H. ( 1990 ). Algorithm AS 258: Average run lengths for cumulative sum schemes . Appl. Statist. 39 : 402 – 412 .
  • Fu , M. C. , Lele , S. , Vossen , T. W. ( 2000 ). Conditional Monte Carlo gradient estimation in economic design of control limits . Retrieved November 12, 2004, from Robert H. Smith School of Business at the University of Maryland website: http://bmgt3-notes.umd.edu/faculty/km/papers.nsf/0/0dfa265db36f2f71852569ad005a0437?OpenDocument
  • Hutchinson , S. R. , Bandalos , D. L. ( 1997 ). A guide to Monte Carlo simulation research for applied researchers . J. Vocational Educat. Res. 22 : 233 – 245 .
  • Jones , L. A. , Woodall , W. H. ( 1997 ). A run rule alternative to level crossings in statistical process control . J. Statist. Computat. Simul. 59 : 315 – 331 .
  • Khoo , M. B. C. ( 2003 ). Increasing the sensitivity of MEWMA control chart . Qual. Eng. 16 : 75 – 85 .
  • Khoo , M. B. C. ( 2004 ). Performance measures for the Shewhart control chart . Qual. Eng. 16 : 585 – 590 .
  • Khoo , M. B. C. , Quah , S. H. ( 2002 ). Computing the percentage points of the run-length distributions of multivariate CUSUM control charts . Qual. Eng. 15 : 299 – 310 .
  • Khoo , M. B. C. , Quah , S. H. ( 2003 ). Incorporating run rules into Hotelling's χ2 control charts . Qual. Eng. 15 : 671 – 675 .
  • Lu , C. , Reynold , M. R. (1999). EWMA control charts for monitoring the mean of autocorrelated processes. J. Qual. Technol. 31:166–187.
  • Lucas , J. M. , Saccucci , M. S. ( 1990 ). Exponentially weighed moving average control schemes: properties and enhancements . Technometrics 32 : 1 – 12 .
  • Montgomery , D. C. ( 2001 ). Introduction to Statistical Quality Control. , 4th ed. New York : Wiley and Sons .
  • Mundfrom , D. J. , Shaw , D. G. , Ke , T. L. ( 2005 ). Minimum sample size recommendations for conducting factor analysis . Int. J. Testing 5 : 159 – 168 .
  • Neubauer , A. S. ( 1997 ). The EWMA control chart; properties and comparison with other quality-control procedures by computer simulation . Clin. Chem. 43 : 594 – 601 .
  • Ong , K. H. , Harvey , C. M. , Shehab , R. L. , Dechert , J. D. , Darisipudi , A. ( 2004 ). The effects of three statistical control charts on task performance . Production Plann. Contr. 15 : 313 – 323 .
  • Pignatiello , J. J. , Runger , Jr. G. C. ( 1990 ). Comparisons of multivariate CUSUM charts . J. Qual. Technol. 22 : 173 – 186 .
  • Preecha , C. ( 2004 ). Number of Replications Required in ANOVA Simulation Studies . Unpublished doctoral dissertation , University of Northern Colorado , Greeley, Colorado .
  • Rigdon , S. E. ( 1995 ). An integral equation for the in-control average run length of a Multivariate exponentially weighted moving average control chart . J. Statist. Computat. Simul. 52 : 351 – 365 .
  • Rigdon , S. E. , Cruthis , E. N. , Champ , C. W. ( 1994 ). Design strategies for individuals and moving range control charts . J. Qual. Technol. 26 : 274 – 287 .
  • Roberts , S. W. ( 1959 ). Control chart tests based on geometric moving averages . Technometrics 1 : 239 – 250 .
  • Sheu , S. H. , Lin , T. C. ( 2003 ). The generally weighted moving average control (GWMA) chart for detecting small shifts in the process mean . Qual. Eng. 16 : 209 – 231 .
  • Sparks , R. S. ( 2000 ). CUSUM charts for AR1 data: Are they worth the effort? Austral. New Zeal. J. Statist. 42 : 25 – 42 .
  • Supawan , P. ( 2004 ). An Examination of the Number of Replications Required in Regression Simulation Studies . Unpublished doctoral dissertation , University of Northern Colorado , Greeley, Colorado .
  • Ussawarujikulchai , A. ( 2004 ). Number of Replications Requested in Multiple Comparison Procedures Monte Carlo Simulation Studies . Unpublished doctoral dissertation , University of Northern Colorado , Greeley, Colorado .
  • Zhang , J. , Nagi , H. M. ( 2001 ). Multivariate cumulative sum charts based on projectory pursuit . Statistica Sinica 11 : 747 – 766 .
  • Zhang , L. , Chen , G. ( 2004 ). EWMA charts for monitoring the mean of censored Weibull lifetimes . J. Qual. Technol. 36 : 321 – 328 .

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