False signal rates for the (X̄) control charts with runs tests when process parameters are estimated

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1045-1056
Journal / PublicationCommunications in Statistics: Simulation and Computation
Issue number4
Publication statusPublished - 1 Dec 2006


This article investigates the effect of the size of the preliminary samples on the false signal rate (FSR) for the control chart with supplementary rules when the process parameters are unknown and the control limits have to be estimated. The conditional probability method is used to derive the analytical formulae for computing the FSR. Numerical results are presented and discussed. Suggestions are given to practitioners in designing and using the control chart with supplementary rules.

Research Area(s)

  • Conditional probability, False signal rate, Sample size, Supplemen-tary rules, X̄ chart