A preliminary study on the double sampling X-bar chart with unknown parameters

W.L. Teoh, M.B.C. Khoo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The double sampling (DS) X̄ chart is superior to the traditional Shewhart X̄ chart in detecting small and moderate process mean shifts. In general, the DS X̄ chart is typically designed under the assumption of known parameters. Nevertheless, the actual process parameters are rarely known in practice and are usually estimated from an in-control reference Phase I sample. In this paper, we discuss the effects of parameter estimation on the performance of the DS X̄ chart, for both the in-control and out-of-control situations. It is found that the in-control and out-of-control performances are significantly different from the case when parameters are known, especially when the shifts and the sample sizes are small. In light of these unfavorable performances, the Phase-I sample-size recommendations are provided for practitioners in designing the DS X̄ chart with estimated parameters, so that satisfactory performances as the case with known parameters are attained. © 2012 IEEE.
Original languageEnglish
Title of host publicationICIMTR 2012 - 2012 International Conference on Innovation, Management and Technology Research
DOIs
Publication statusPublished - 2012

Publication series

NameICIMTR 2012 - 2012 International Conference on Innovation, Management and Technology Research

Keywords

  • Average Run Length
  • Average Sample Size
  • Double Sampling X Control Chart
  • Estimated Parameters
  • Standard Deviation of the Run Length

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