Performance of Bayesian EWMA control chart with measurement error under ranked set sampling schemes with application in industrial engineering

Yuzhen Wang; Imad Khan; Muhammad Noor-Ul-Amin; Amjad Javaid; Dost Muhammad Khan; Huda M Alshanbari

doi:10.1038/s41598-023-40656-x

Performance of Bayesian EWMA control chart with measurement error under ranked set sampling schemes with application in industrial engineering

Sci Rep. 2023 Aug 28;13(1):14042. doi: 10.1038/s41598-023-40656-x.

Authors

Yuzhen Wang¹, Imad Khan², Muhammad Noor-Ul-Amin³, Amjad Javaid⁴, Dost Muhammad Khan², Huda M Alshanbari⁵

Affiliations

¹ School of Science, Xi'an Technological University, Xi'an, 710032, China.
² Department of Statistics, Abdul Wali Khan University Mardan, Mardan, Pakistan.
³ COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan.
⁴ Pakistan Bureau of Statistics, Islamabad, Pakistan.
⁵ Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia. hmalshanbari@pnu.edu.sa.

Abstract

The objective of this study is to investigate the behavior of the Bayesian exponentially weighted moving average (EWMA) control chart in the presence of measurement error (ME). It explores the impact of different ranked set sampling designs and loss functions on the performance of the control chart when ME is present. The analysis incorporates a covariate model, multiple measurement methods, and a conjugate prior to account for ME. The performance evaluation of the proposed Bayesian EWMA control chart with ME includes metrics such as average run length and standard deviation of run lengths. The findings, obtained through Monte Carlo simulation and real data application, indicated that ME significantly affects the performance of the Bayesian EWMA control chart when RSS schemes are employed. Particularly noteworthy is the superior performance of the median RSS scheme compared to the other two schemes in the presence of ME.