Sensitivity comparison of control charts under MAD shift detector using the rank set sampling scheme

Nadia Saeed and Moustafa Omar Ahmed Abu-Shawiesh

European Journal of Industrial Engineering, 2025, vol. 19, issue 1, 68-85

Abstract: In this article, the sensitivity comparison of the standard Shewhart S-control chart is done with the MAD-control chart under the rank set sampling (RSS) scheme. The median absolute deviation (MAD) from the sample median is considered a robust estimator for the outlier's detection relative to the sample standard deviation (SD). Extensive simulations are conducted to evaluate the control charts' performance using both estimators under the RSS scheme for different sample sizes. The values for the out-of-control average run length (ARL₁), standard deviation of run length (SDRL) and percentile points under different shifts are used as performance measures. On the basis of Monte Carlo simulations, it is revealed that as the shift gets large; control charts are equally effective to detect it while for small shifts, the suggested robust MAD-control chart performed well and better. A real-life dataset is analysed to support our findings from the simulation study for illustrative intents justified that the MAD robust estimator is a better outlier detector. [Received: 26 November 2022; Accepted: 11 August 2023]

Keywords: rank set sampling; RSS; control chart; shift detector; outliers; median absolute deviation; MAD; percentile points; average run length; ARL. (search for similar items in EconPapers)
Date: 2025
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