MTSD-TCC: A Robust Alternative to Tukey's Control Chart (TCC) Based on the Modified Trimmed Standard Deviation (MTSD)
| Autor: | Qurat-Ul-Ain Khaliq, Moustafa Omar Ahmed Abu-Shawiesh, Muhammad Riaz |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
0209 industrial biotechnology Economics and Econometrics Robust statistics Process (computing) 02 engineering and technology 01 natural sciences Standard deviation 010104 statistics & probability 020901 industrial engineering & automation Chart Outlier Statistics Trimming Control chart 0101 mathematics Statistics Probability and Uncertainty Robust control Mathematics |
| Zdroj: | Mathematics and Statistics. 8:262-277 |
| ISSN: | 2332-2144 2332-2071 |
| DOI: | 10.13189/ms.2020.080304 |
| Popis: | In this study, a robust control chart as an alternative to the Tukey's control chart (TCC) based on the modified trimmed standard deviation (MTSD), namely MTSD-TCC, is proposed. The performance of the proposed and the competing Tukey's control chart (TCC) is measured using different length properties such as average run length (ARL), standard deviation of run length (SDRL), and median run length (MDRL). Also, the study covered normal and contaminated cases. We have observed that the proposed robust control chart (MTSD-TCC) is quite efficient at detecting process shifts. Also, it is evident from the simulation results that the proposed robust control chart (MTSD-TCC) offers superior detection ability for different trimming levels as compared to the Tukey's control chart (TCC) under the contaminated process setups. As a result, it is recommended to use the proposed robust control chart (MTSD-TCC) for process monitoring. An application numerical example using real-life data is provided to illustrate the implementation of the proposed robust control chart (MTSD-TCC) which also supported the results of the simulation study to some extent. |
| Databáze: | OpenAIRE |
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