Shewhart control charts for dispersion adjusted for parameter estimation

References

• Acosta-Mejia, C.A., Pignatiello, J.J. and Rao, B.V. (1999) A comparison of control charting procedures for monitoring process dispersion. IIE Transactions, 31(6), 569–579.
   Web of Science ®Google Scholar
• Albers, W. and Kallenberg, W.C.M. (2004) Are estimated control charts in control? Statistics, 38(1), 67–79.
   Web of Science ®Google Scholar
• Box, G.E.P. and Cox, D.R. (1964) An analysis of transformations. Journal of the Royal Statistical Society. Series B (Methodological), 26(2), 211–252.
   Web of Science ®Google Scholar
• Chakraborti, S. (2006) Parameter estimation and design considerations in prospective applications of the chart. Journal of Applied Statistics, 33(4), 439–459.
   Web of Science ®Google Scholar
• Chen, G. (1998) The run length distributions of the R, S and S2 control charts when σ is estimated. Canadian Journal of Statistics, 26(2), 311–322.
   Web of Science ®Google Scholar
• Chou, Y.M., Polansky, A.M. and Mason, R.L. (1998) Transforming non-normal data to normality in statistical process control. Journal of Quality Technology, 30(2), 133–141.
   Web of Science ®Google Scholar
• Epprecht, E.K., Loureiro, L.D. and Chakraborti, S. (2015) Effect of the amount of phase I data on the phase II Performance of S2 and S control charts. Journal of Quality Technology, 47(2), 139–155.
   Web of Science ®Google Scholar
• Faraz, A., Woodall, W.H. and Heuchene, C. (2015) Guaranteed conditional performance of the S2 control chart with estimated parameters. International Journal of Production Research, 54(14), 4405–4413.
   Web of Science ®Google Scholar
• Gandy, A. and Kvaløy, J.T. (2013) Guaranteed conditional performance of control charts via bootstrap methods. Scandinavian Journal of Statistics, 40(4), 647–668.
   Web of Science ®Google Scholar
• Goedhart, R., Schoonhoven, M. and Does, R.J.M.M. (2017) Guaranteed in-control performance for the Shewhart X and control charts. Journal of Quality Technology, 49(2), 155–171.
   Web of Science ®Google Scholar
• Jensen, W.A., Jones-Farmer, L.A., Champ, C.W. and Woodall, W.H. (2006) Effects of parameter estimation on control chart properties: A literature review. Journal of Quality Technology, 38(4), 349–364.
   Web of Science ®Google Scholar
• Mahmoud, M.A., Henderson, G.R., Epprecht, E.K. and Woodall, W.H. (2010) Estimating the standard deviation in quality control applications. Journal of Quality Technology, 42(4), 348–357.
   Web of Science ®Google Scholar
• Maravelakis, P.E., Panaretos, J. and Psarakis, S. (2002) Effect of estimation of the process parameters on the control limits of the univariate control charts for process dispersion. Communication in Statistics - Simulation and Computation, 31(3), 443–461.
   Web of Science ®Google Scholar
• Montgomery, D.C. (2013) Introduction to Statistical Quality Control, John Wiley & Sons, New York, NY.
   Google Scholar
• Patnaik, P.B. (1950) The use of mean range as an estimator in statistical tests. Biometrika, 37, 78–87.
   PubMed Web of Science ®Google Scholar
• Psarakis, S., Vyniou, A.K. and Castagliola, P. (2014) Some recent developments on the effects of parameter estimation on control charts. Quality and Reliability Engineering International, 30(8), 1113–1119.
   Web of Science ®Google Scholar
• Roes, K.C.B., Does, R.J.M.M. and Schurink, Y. (1993) Shewhart-type control charts for individual observations. Journal of Quality Technology, 25(3), 188–198.
   Web of Science ®Google Scholar
• Saleh, N.A., Mahmoud, M.A., Jones-Farmer, L.A., Zwetsloot, I.M. and Woodall, W.H. (2015) Another look at the EWMA control chart with estimated parameters. Journal of Quality Technology, 47(4), 363–382.
   Web of Science ®Google Scholar
• Saleh, N.A., Mahmoud, M.A., Keefe, M.J. and Woodall, W.H. (2015) The difficulty in designing Shewhart and X control charts with estimated parameters. Journal of Quality Technology, 47(2), 127–138.
   Web of Science ®Google Scholar
• Schoonhoven, M. and Does, R.J.M.M. (2012). A robust standard deviation control chart. Technometrics, 54(1), 73–82.
   Web of Science ®Google Scholar
• Tietjen, G.L. and Johnson, M.E. (1979) Exact statistical tolerance limits for sample variances. Technometrics, 21(1), 107–110.
   Web of Science ®Google Scholar
• Vardeman, S.B. (1999) A brief tutorial on the estimation of the process standard deviation. IIE Transactions, 31(6), 503–507.
   Web of Science ®Google Scholar
• Zwetsloot, I.M. (2016) EWMA control charts in statistical process monitoring. Doctoral Dissertation, University of Amsterdam. http://dare.uva.nl/document/2/171960. [15 June 2016].
   Google Scholar