دورية أكاديمية

The Generally Weighted Moving Average Control Chart for Monitoring the Process Median.

التفاصيل البيبلوغرافية
العنوان: The Generally Weighted Moving Average Control Chart for Monitoring the Process Median.
المؤلفون: Sheu, Shey-Huei1 (AUTHOR) shsheu@im.ntust.edu.tu, Yang, Ling2 (AUTHOR)
المصدر: Quality Engineering. Jul-Sep2006, Vol. 18 Issue 3, p333-344. 12p. 9 Charts, 4 Graphs.
مصطلحات موضوعية: *STATISTICS, *QUALITY control charts, *SIMULATION methods & models, MEDIAN (Mathematics), OUTLIERS (Statistics)
مستخلص: The generally weighted moving average median (GWMA-X͂) control chart is employed to monitoring the process sample mean/median. From the statistical point of view. the simulation result reveals that the GWMA-X͂ chart outperforms both the EWMA-X͂ chart and the Shewhart-X͂ chart in detecting small shifts of the process sample mean/median. In detecting the startup shifts, the GWMA-X͂ chart is also more sensitive than the EWMA-FIR-X͂ chart. An example is given to illustrate this study. In general, the X̅ charts are sensitive to outliers, and the X͂ charts are outliers-resistant. In this paper, several X͂ charts and X̅ charts are used for comparison. Although the GWMA-X͂ chart performs very well in outliers-resistance, the GWMA-X̅ chart is the best in fast detecting shifts. Therefore, the average quality cost is considered to be a criterion for choosing a control chart with outliers. The Lorenzen-Vance quality cost model is adopted herein. With various stilts of the process sample mean/median, the average quality costs of control charts are evaluated under some contaminated normal distributions and cost parameters setting. We conclude that, from the economic point of view, the GWMA-X͂ control chart performs best with outliers. [ABSTRACT FROM AUTHOR]
Copyright of Quality Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Array ( [Name] => Abstract [Label] => Abstract [Group] => Ab [Data] => The generally weighted moving average median (GWMA-X͂) control chart is employed to monitoring the process sample mean/median. From the statistical point of view. the simulation result reveals that the GWMA-X͂ chart outperforms both the EWMA-X͂ chart and the Shewhart-X͂ chart in detecting small shifts of the process sample mean/median. In detecting the startup shifts, the GWMA-X͂ chart is also more sensitive than the EWMA-FIR-X͂ chart. An example is given to illustrate this study. In general, the X̅ charts are sensitive to outliers, and the X͂ charts are outliers-resistant. In this paper, several X͂ charts and X̅ charts are used for comparison. Although the GWMA-X͂ chart performs very well in outliers-resistance, the GWMA-X̅ chart is the best in fast detecting shifts. Therefore, the average quality cost is considered to be a criterion for choosing a control chart with outliers. The Lorenzen-Vance quality cost model is adopted herein. With various stilts of the process sample mean/median, the average quality costs of control charts are evaluated under some contaminated normal distributions and cost parameters setting. We conclude that, from the economic point of view, the GWMA-X͂ control chart performs best with outliers. [ABSTRACT FROM AUTHOR] )
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