Three non-parametric control charts based on ranked set sampling
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Publication Details
Author list: Tapang W., Pongpullponsak A., Sarikavanij S.
Publication year: 2016
Journal: Chiang Mai Journal of Science (0125-2526)
Volume number: 43
Issue number: 4
Start page: 914
End page: 929
Number of pages: 16
ISSN: 0125-2526
Languages: English-Great Britain (EN-GB)
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Abstract
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 δ times of standard deviation (δ = 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. © 2016, Chiang Mai University. All rights reserved.
Keywords
Mann-whitney statistics, Nonparametric control charts, Ranked set sampling, Wilcoxon rank sum test
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