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Comparing the effects of skewed distributions on the s-chart and S2-EWMA chart based on the median run length criterion
Hsin, Ong Ker1, Yin, Teh Sin2, Chong, Khoo Michael Boon3, Lin, Teoh Wei4, Lin, Soh Keng5.
The S
2-EWMA (called the S square exponentially weighted moving average) control chart is effective in detecting small and
moderate process variance shifts. Previously, the chart was designed based on the assumption that the distribution of the
quality characteristic is normally distributed. This study designs the S2-EWMA control chart for skewed distributions. The skewed
distributions considered in this paper are the lognormal and gamma distributions. The performance of the S2-EWMA control
chart is compared with that of the traditional Shewhart S-chart, in terms of median run length (MRL), based on simulation
using the Statistical Analysis System (SAS). The results show that regardless of the type of skewed distributions, sample size and
skewness level,
, in most of the cases, the S
2-EWMA chart outperforms the S-chart. Moreover, the findings reveal that the MRL
performances of the S-chart and S2-EWMA chart are significantly influenced by skewed distributions.
Affiliation:
- Universiti Sains Malaysia, Malaysia
- Universiti Sains Malaysia, Malaysia
- Universiti Sains Malaysia, Malaysia
- Universiti Tunku Abdul Rahman, Malaysia
- Universiti Sains Malaysia, Malaysia
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Indexation |
Indexed by |
MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
Rank |
0 |
Indexed by |
Scopus 2020 |
Impact Factor
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CiteScore (1.4) |
Rank |
Q3 (Engineering (all)) |
Additional Information |
SJR (0.191) |
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