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STATISTICAL QUALITY CONTROL

Distribution-Free Quality Control Charts Based on Signed-Rank-Like Statistics

Pages 743-757 | Received 08 Jan 2004, Accepted 04 Oct 2005, Published online: 02 Sep 2006

References

  • Alloway , J. A. Jr. , Raghavachari , M. ( 1991 ). Control chart based on the Hodges-Lehmann estimator . J. Qual. Technol. 23 : 336 – 347 [CSA]
  • Amin , R. , Reynolds , M. R. Jr. , Bakir , S. T. ( 1995 ). Nonparametric quality control charts based on the sign statistic . Commun. Statist. Theor. Meth. 24 ( 6 ): 1597 – 1623 [CSA]
  • Amin , R. W. , Searcy , A. J. ( 1991 ). A nonparametric exponentially weighted moving average control scheme . Commun. Statist. Simul. 20 ( 4 ): 1049 – 1072 [CSA]
  • Arnold , B. ( 1985 ). The sign test in current control . Statistische Hefte 26 : 253 – 262 [CSA]
  • Arnold , B. ( 1986 ). Comparison of the approximate and exact optimum economic design of control charts basing on the sign test . Statistische Hefte 27 : 239 – 241 [CSA]
  • Bakir , S. T. ( 1997 ). Quality control charts for detecting a general change in a process . Proc. Sec. Qual. Productivity . American Statistical Association , pp. 53 – 56 .
  • Bakir , S. T. ( 2001 ). Classification of distribution-free quality control charts . Proc. Sec. Qual. Productivity . American Statistical Association .
  • Bakir , S. T. ( 2004 ). A distribution-free shewhart quality control chart based on signed-ranks . Qual. Eng. 16 ( 4 ): 613 – 623 [CROSSREF] [CSA]
  • Bakir , S. T. , Reynolds , M. R. Jr. ( 1979 ). A nonparametric procedure for process control based on within group ranking . Technometrics 21 : 175 – 183 [CSA]
  • Broffitt , J. D. , Randles , R. H. , Hogg , R. V. ( 1976 ). Distribution-free partial discriminant analysis . J. Amer. Statist. Assoc. 71 : 934 – 939 [CSA]
  • Chakraborti , S. , Van Der Laan , P. , Bakir , S. T. ( 2001 ). Nonparametric control charts: an overview and some results . J. Qual. Technol. 33 ( 3 ): 304 – 315 [CSA]
  • Deming , W. E. ( 1986 ). Out of the Crisis . Cambridge : Massachusetts . Massachusetts Institute of Technology, Center for Advanced Engineering Study .
  • Deming , W. E. ( 1993 ). The New Economics for Industry, Government, and Education . Cambridge : Massachusetts . Massachusetts Institute of Technology, Center for Advanced Engineering Study .
  • Farnum , N. R. , Stanton , L. W. ( 1986 ). Using counts to monitor a process mean . J. Qual. Technol. 18 : 22 – 28 [CSA]
  • Hackl , P. , Ledolter , J. ( 1991 ). A control chart based on ranks . J. Qual. Technol. 23 ( 2 ): 117 – 124 [CSA]
  • Hackl , P. , Ledolter , J. ( 1992 ). A new nonparametric quality control technique . Commun. Statist. Simul. 21 ( 2 ): 423 – 443 [CSA]
  • Jacobs , D. C. ( 1990 ). Statistical process control: watch for nonnormal distributions . Chem. Eng. Progr. 86 ( 11 ): 19 – 27 [CSA]
  • Lehmann , E. L. ( 1983 ). Theory of Point Estimation . New York : John Wiley & Sons .
  • Montgomery , D. C. ( 2001 ). Introduction to Statistical Quality Control. , 4th ed. New York : John Wiley & Sons. Inc. .
  • Moses , L. E. ( 1963 ). Rank tests of dispersion . Ann. Math. Statist. 34 : 973 – 983 [CSA]
  • Noble , C. E. (1951). Variations in conventional control charts. Indust. Qual. Contr. 8(3):17–22 [CSA]
  • Orban , J. , Wolfe , D. A. ( 1982 ). A class of distribution-free two-sample tests based on placements . J. Amer. Statist. Assoc. 77 : 666 – 670 [CSA]
  • Parent , E. A. Jr. ( 1965 ). Sequential Ranking Procedures . Technical Report #80 . Department of Statistics, Stanford University .
  • Park , C. , Reynolds , M. R. Jr. ( 1987 ). Nonparametric procedures for monitoring a location parameter based on linear placement statistics . Sequential Anal. 6 ( 4 ): 303 – 323 [CSA]
  • Randles , R. H. , Wolfe , D. A. ( 1979 ). Introduction to the Theory of Nonparametric Statistics . New York : John Wiley & Sons. Inc.
  • Reynolds , M. R. , Jr. ( 1975a ). A sequential signed-rank test for symmetry . Ann. Statist. 3 : 382 – 400 [CSA]
  • Reynolds , M. R. Jr. ( 1975b ). Approximations to the average run length in cumulative sum control charts . Technometrics 17 : 65 – 71 [CSA]
  • Shewhart , W. A. ( 1926 ). Quality control charts . Bell Syst. Technical J. 593 – 603 [CSA]
  • Shewhart , W. A. ( 1927 ). Quality control . Bell Syst. Technical J. 722 – 735 [CSA]
  • Shewhart , W. A. ( 1931 ). Economic Control of Quality of Manufactured Product . Princeton : Van Nostrand Reinhold .
  • Shewhart , W. A. ( 1939 ). Statistical Methods from the Viewpoint of Quality Control . New York : Republished in 1986 by Dover Publications .
  • Tukey , J. W. ( 1960 ). A survey of sampling from contaminated distributions . In: et al. . Eds. Contributions to Probability and Statistics, Essays in Honor of Harold Hotelling . Stanford , CA : Stanford University Press .
  • Willemain , T. R. , Runger , G. C. ( 1996 ). Designing control charts using an empirical reference distribution . J. Qual. Technol. 28 ( 1 ): 31 – 38 [CSA]
  • Woodall W. H. , Montgomery D. C. ( 1999 ). Research issues and ideas in statistical process control . J. Qual. Technol. 31 ( 4 ): 376 – 386 [CSA]

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