Optimal design of the modified group runs (MGR) chart when process parameters are estimated

Zhi Lin Chong*, Michael Boon Chong Khoo, Wei Lin Teoh, Wai Chung Yeong, Sok Li Lim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The performance of variable charts is commonly investigated based on the assumption of known process parameters. However, the process parameters are usually unknown and have to be estimated from a limited number of Phase-I samples, leading to a deterioration of a control chart’s performance. To overcome this problem, we examine the performance of the modified group runs (MGR) (Formula presented.) chart with estimated process parameters. A table containing the optimal parameters of the proposed chart when the process parameters are estimated is also given. These optimal parameters will enable practitioners to obtain a similar in-control performance as the known process parameters case.

Original languageEnglish
Pages (from-to)244-260
Number of pages17
JournalCommunications in Statistics: Simulation and Computation
Issue number1
Early online date12 Oct 2018
Publication statusPublished - 2 Jan 2020


  • Average number of observations to signal
  • Estimated process parameters
  • Modified group runs
  • Optimal design
  • Phase-I samples

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation


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