Robustness of the Variable Sample Size and Control Limit ¯X Chart to Non Normality

References

• Borror , C. M. , Montgomery , D. C. , Runger , G. C. ( 1999 ). Robustness of the EWMA control chart to non normality . J. Qual. Technol. 31 : 309 – 316 .
   Web of Science ®Google Scholar
• Burr , I. W. Cumulative frequency distribution . Ann. Math. Statist. , ( 1942 ). 13 : 215 – 232 .
   Google Scholar
• Burr , I. W. ( 1967 ). The effect of non normality on constants for X¯ and R charts . Industr. Qual. Control 22 : 563 – 569 .
   Google Scholar
• Burr , I. W. ( 1973 ). Parameters for a general system of distributions to match a grid of α3 and α4 . Commun. Statist. 2 ( 1 ): 1 – 21 .
   Google Scholar
• Chou , C. Y. , Chen , C. H. , Liu , H. R. ( 2000 ). Economic-statistical design of X¯ charts for non normal data by considering quality loss . J. Appl. Statist. 27 ( 8 ): 939 – 951 . [CROSSREF]
   Web of Science ®Google Scholar
• Chou , C. Y. , Chen , C. H. , Liu , H. R. ( 2001 ). Economic design of X¯ charts for non normally correlated data . Int. J. Prod. Res. 39 : 1931 – 1941 . [CROSSREF]
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 1994 ). X¯ charts with variable sample size . J. Qual. Technol. 26 : 155 – 163 .
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 1997 ). X¯ charts with variable sample size and sampling intervals . J. Qual. Technol. , 29 : 197 – 204 .
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 1998 ). Joint X¯ and R charts with variable parameters . IIE Trans. 30 : 505 – 514 . [CROSSREF]
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 1999a ). Joint X¯ and R charts with variable sample size and sampling intervals . J. Qual. Technol. 31 : 387 – 397 .
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 1999b ). X¯ charts with variable parameters . J. Qual. Technol. 31 : 408 – 416 .
   Web of Science ®Google Scholar
• Costa , A. F. B. ( 2000 ). X¯ charts with supplementary samples to control mean and variance . Int. J. Prod. Res. , 38 : 3801 – 3809 . [CROSSREF]
   Web of Science ®Google Scholar
• Dodge , Y. , Rousson , V. ( 1999 ). The complications of the fourth central moment . Amer. Statistician 53 : 267 – 269 .
   Web of Science ®Google Scholar
• Lucas , J. M. , Saccucci , M. S. ( 1990 ). Exponentially weighted moving average control schemes: properties and enhancements . Technometrics 32 : 1 – 12 .
   Web of Science ®Google Scholar
• Magalha˜es , M. S. (DE,) Costa , A. F. B. , Epprecht , E. K. ( 2002 ). Constrained optimization model for the design of an adaptive X¯ chart . Int. J. Prod. Res. 40 : 3199 – 3218 . [CROSSREF]
   Google Scholar
• Prabhu , S. S. , Montogomery , D. C. , Runger , G. C. ( 1994 ). A combined adaptive sample size and sampling interval X¯ control scheme . J. Qual. Technol. 26 : 146 – 176 .
   Google Scholar
• Prabhu , S. S. , Runger , G. C. , Keats , J. B. ( 1993 ). X¯ chart with adaptive sample sizes . Int. J. Prod. Res. 31 : 2895 – 2909 . [CSA]
   Web of Science ®Google Scholar
• Reynolds , M. R. Jr. ( 1996a ). Shewhart and EWMA variable sampling interval control charts with sampling at fixed times . J. Qual. Technol. 28 : 199 – 212 .
   Web of Science ®Google Scholar
• Reynolds , M. R. Jr. ( 1996b ). Variable-sample-interval control charts with sampling at fixed times . IIE Trans. 28 : 497 – 510 .
   Web of Science ®Google Scholar
• Reynolds , M. R. Jr. , Amin , R. W. , Arnold , J. C. , Nachlas , J. A. ( 1988 ). X¯ charts with variable sampling intervals . Technometrics 30 : 81 – 192 .
   Web of Science ®Google Scholar
• Runger , G. C. , Pignatiello , J. J. Jr. (1991). Adaptive sampling for process control. J. Qual. Technol. 23:135–155.
   Web of Science ®Google Scholar
• Tagaras , G. ( 1998 ). A survey of recent developments in the design of adaptive control charts . J. Qual. Technol. 30 : 212 – 231 .
   Web of Science ®Google Scholar
• Yourstone , S. A. , Zimmer , W. J. ( 1992 ). Non normality and the design of control charts for averages . Decision Sci. 23 : 1099 – 1113 .
   Web of Science ®Google Scholar
• Zimmer , W. J. , Burr , I. W. ( 1963 ). Variable sampling plans based on non normal populations . Indust. Qual. Control July , 18 – 36 .
   Google Scholar
• Zimmer , L. S. , Montogomery , D. C. , Runger , G. C. ( 1998 ). Evaluation of a three-state adaptive sample size X¯control chart . Int. J. Prod. Res. 36 : 733 – 743 . [CROSSREF]
   Web of Science ®Google Scholar
• Zimmer , L. S. , Montogomery , D. C. , Runger , G. C. ( 2000 ). Guidelines for the application of adaptive control charting schemes . Int. J. Prod. Res. 38 : 1977 – 1992 . [CROSSREF]
   Web of Science ®Google Scholar