Chiang Mai Journal of Science

Three Non-parametric Control Charts Based on Ranked Set Sampling

Paper Type	Contributed Paper
Title	Three Non-parametric Control Charts Based on Ranked Set Sampling
Author	Waliporn Tapang, Adisak Pongpullponsak* and Sukuman Sarikavanij
Email	adisak.pon@kmutt.ac.th
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 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.
Start & End Page	915 - 930
Received Date	2015-05-24
Revised Date
Accepted Date	2015-10-19
Full Text	Download
Keyword	Ranked set sampling, Nonparametric control charts, Wilcoxon rank sum test, Mann - Whitney statistics, Hodges - Lehmann estimator
Volume	Vol.43 No.4 (JULY 2016)
DOI
Citation	Tapang W., Pongpullponsak A. and Sarikavanij S., Three Non-parametric Control Charts Based on Ranked Set Sampling, Chiang Mai J. Sci., 2016; 43(4): 915-930.
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