Citation

Yeong, Wai Chung and Lim, Sok Li and Shamsun Nur, Nurul Shuhada and Chong, Zhi Lin and Ng, Peh Sang (2026) Design of the Multivariate Side-Sensitive Synthetic Coefficient of Variation Chart Based on the Median Run Length. Journal of Quality Measurement and Analysis, 22 (2). pp. 137-155. ISSN 26008602

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Abstract

The multivariate side-sensitive synthetic chart shows good detection capabilities for shifts in the coefficient of variation ( ) ; however, its design and evaluation is dependent on the average run length (ARL), which fairly represents its performance only for symmetrically distributed run lengths, and a skewed run length will result in an actual performance that frequently differs from its ARL, resulting in a loss of trust for the chart. Through numerical analysis, this paper has shown that the in-control run length and out-of-control run length of small shift sizes ( ) has a right-skewed distribution, showing that the chart could not be evaluated based on only its ARL. Following this finding, a design building upon the median run length (MRL) is proposed. This design resulted in a smaller out-of-control MRL (MRL1) than the design based on its ARL. Hence, the design shows faster detection and presents a more accurate representation of the chart’s performance. A design based on the expected MRL (EMRL) was also proposed for practitioners who are unable to estimate the exact value for  . The proposed designs are also implemented in a real-life application monitoring investment risk.

Item Type:	Article
Uncontrolled Keywords:	Average run length, coefficient of variation, median run length
Subjects:	Q Science > QA Mathematics > QA71-90 Instruments and machines
Divisions:	Faculty of Computing and Informatics (FCI)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	03 Sep 2026 06:21
Last Modified:	03 Sep 2026 06:21
URII:	http://shdl.mmu.edu.my/id/eprint/16616

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