A new scheme of dispersion charts based on neoteric ranked set sampling

Tahir Abbas; Muhammad Riaz; Bushra Javed; Mu'azu Ramat Abujiya; Tahir Abbas; Muhammad Riaz; Bushra Javed; Mu'azu Ramat Abujiya

doi:10.3934/math.2023915

AIMS Mathematics

2023, Volume 8, Issue 8: 17996-18020. doi: 10.3934/math.2023915

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Research article

A new scheme of dispersion charts based on neoteric ranked set sampling

1.
Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 0000, United Arab Emirates
2.
Department of Mathematics, College of Computing and Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
3.
Department of Statistics, Government College University Lahore, Lahore 54000, Pakistan
4.
Preparatory Year Mathematics Program, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received: 07 April 2023 Revised: 07 May 2023 Accepted: 14 May 2023 Published: 25 May 2023
MSC : 62F03, 62K05, 62P10, 62P30

There are certain areas of science and technology, such as agriculture, ecology, and environmental studies, that emphasize designing competent sampling strategies. The ranked set schemes, particularly the neoteric ranked set sampling (NRSS), are one method that meets such objectives. The NRSS provides plans that incorporates expert knowledge while choosing samples, which is beneficial. This study proposes a novel scheme for creating dispersion charts based on NRSS. The proposed scheme aims to improve the accuracy of dispersion charts by reducing the impact of outliers and non-normality in data sets. As a highly effective method in estimating population parameters, NRSS is used to select samples from the data set. The proposed dispersion charts are assessed based on individual performance measure criteria at shifts of different magnitudes. The dispersion charts created using this new scheme are compared with traditional dispersion charts, and the results demonstrate that the proposed scheme produces charts with higher accuracy and robustness. The study highlights the potential benefits of using NRSS-based dispersion charts in various fields, including quality control, environmental monitoring, and process control. An actual data application from a non-isothermal continuous stirred tank chemical reactor model further validates the simulation results.
- average runs length,
- control charts,
- inter quartile range,
- mean absolute deviation,
- neoteric ranked set sampling
Citation: Tahir Abbas, Muhammad Riaz, Bushra Javed, Mu'azu Ramat Abujiya. A new scheme of dispersion charts based on neoteric ranked set sampling[J]. AIMS Mathematics, 2023, 8(8): 17996-18020. doi: 10.3934/math.2023915

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Abstract

There are certain areas of science and technology, such as agriculture, ecology, and environmental studies, that emphasize designing competent sampling strategies. The ranked set schemes, particularly the neoteric ranked set sampling (NRSS), are one method that meets such objectives. The NRSS provides plans that incorporates expert knowledge while choosing samples, which is beneficial. This study proposes a novel scheme for creating dispersion charts based on NRSS. The proposed scheme aims to improve the accuracy of dispersion charts by reducing the impact of outliers and non-normality in data sets. As a highly effective method in estimating population parameters, NRSS is used to select samples from the data set. The proposed dispersion charts are assessed based on individual performance measure criteria at shifts of different magnitudes. The dispersion charts created using this new scheme are compared with traditional dispersion charts, and the results demonstrate that the proposed scheme produces charts with higher accuracy and robustness. The study highlights the potential benefits of using NRSS-based dispersion charts in various fields, including quality control, environmental monitoring, and process control. An actual data application from a non-isothermal continuous stirred tank chemical reactor model further validates the simulation results.

References

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