Improved Nonparametric Control Chart Based on Ranked Set Sampling with Application of Chemical Data Modelling

Zahid Rasheed, Majid Khan, Nafiu Lukman Abiodun, Syed Masroor Anwar, G. Khalaf, Saddam Akber Abbasi and Adrian Neagu

Mathematical Problems in Engineering, 2022, vol. 2022, 1-15

Abstract: The statistical performance of parametric control charts is questionable when the underlying process does not follow any specified probability distribution. Nonparametric control charts are the best substitute for this situation. On the other hand, the ranked set sampling technique is preferred over the simple random sampling technique because it reduces the variability of process parameters and improves the control chart’s performance. This study aims to offer a nonparametric double homogeneously weighted moving average control chart under Wilcoxon signed-rank test considering the ranked set sampling technique (regarded as NPDHWMARSS), to further enhance the process location monitoring. The proposed chart’s run-length performance is compared with competing control charts, such as DEWMA-X¯, NPDEWMA-SR, NPRDEWMA-SR, DHWMA, and NPHWMARSS control charts. The comparison revealed that the proposed NPDHWMARSS control chart outperformed the other competing control charts, particularly for small to moderate shifts in process location. Finally, a real-life application is also offered for quality practitioners to show the strength of the proposed control chart.

Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/mpe/2022/7350204.pdf (application/pdf)
http://downloads.hindawi.com/journals/mpe/2022/7350204.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7350204

DOI: 10.1155/2022/7350204

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().