Three Non - parametric Control Charts Based on Ranked Set Sampling
In this study, the ranked set sampling (RSS) is applied to the three nonparametric control charts: the Mann – Whitney statistics (U-chart), the Wilcoxon rank sum test (W – chart) and the Hodges - Lehmann estimator (HL – chart) in order to reduce bias in sampling procedure. The data are generated fr...
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Science Faculty of Chiang Mai University
2019
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th-cmuir.6653943832-637872019-05-07T09:57:18Z Three Non - parametric Control Charts Based on Ranked Set Sampling Waliporn Tapang Adisak Pongpullponsak In this study, the ranked set sampling (RSS) is applied to the three nonparametric control charts: the Mann – Whitney statistics (U-chart), the Wilcoxon rank sum test (W – chart) and the Hodges - Lehmann estimator (HL – chart) in order to reduce bias in sampling procedure. The data are generated from normal distribution, uniform distribution, and 11 shapes of Weibull distributions with the process mean shift in d times of standard deviation (d = 0.50, 1, 1.5, 2, 2.5, and 3). The results show that the in control average run length (ARL) of the three control charts with RSS are higher than the Shewhart X bar chart at +/-3 standard deviation control limits. When the shift occurs, the out of control ARL of HL – chart is the lowest in every mean shift. 2019-05-07T09:57:18Z 2019-05-07T09:57:18Z 2016 บทความวารสาร 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7079 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63787 Eng Science Faculty of Chiang Mai University |
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Chiang Mai University Library |
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Thailand |
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English |
| description |
In this study, the ranked set sampling (RSS) is applied to the three nonparametric control charts: the Mann – Whitney statistics (U-chart), the Wilcoxon rank sum test (W – chart) and the Hodges - Lehmann estimator (HL – chart) in order to reduce bias in sampling procedure. The data are generated from normal distribution, uniform distribution, and 11 shapes of Weibull distributions with the process mean shift in d times of standard deviation (d = 0.50, 1, 1.5, 2, 2.5, and 3). The results show that the in control average run length (ARL) of the three control charts with RSS are higher than the Shewhart X bar chart at +/-3 standard deviation control limits. When the shift occurs, the out of control ARL of HL – chart is the lowest in every mean shift. |
| format |
บทความวารสาร |
| author |
Waliporn Tapang Adisak Pongpullponsak |
| spellingShingle |
Waliporn Tapang Adisak Pongpullponsak Three Non - parametric Control Charts Based on Ranked Set Sampling |
| author_facet |
Waliporn Tapang Adisak Pongpullponsak |
| author_sort |
Waliporn Tapang |
| title |
Three Non - parametric Control Charts Based on Ranked Set Sampling |
| title_short |
Three Non - parametric Control Charts Based on Ranked Set Sampling |
| title_full |
Three Non - parametric Control Charts Based on Ranked Set Sampling |
| title_fullStr |
Three Non - parametric Control Charts Based on Ranked Set Sampling |
| title_full_unstemmed |
Three Non - parametric Control Charts Based on Ranked Set Sampling |
| title_sort |
three non - parametric control charts based on ranked set sampling |
| publisher |
Science Faculty of Chiang Mai University |
| publishDate |
2019 |
| url |
http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7079 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63787 |
| _version_ |
1681425960194277376 |