Optimal design of the modified group runs (MGR) X¯ chart when process parameters are estimated. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Chong, Zhi Lin; Boon Chong Khoo, Michael; Teoh, Wei Lin; Yeong, Wai Chung; Li Lim, Sok
• Is Part Of: Communications in statistics. Volume 49:Issue 1(2020)
• Page Start: 244
• Page End: 260
• Publication Date: 2020-01-02
• Subjects: Average number of observations to signal -- Estimated process parameters -- Modified group runs -- Optimal design -- Phase-I samples; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2018.1484475
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: 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) X ¯ 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.