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: 915

End page: 930

ISSN: 0125-2526

URL: http://it.science.cmu.ac.th/ejournal/journalDetail.php?journal_id=7079

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 +

Keywords

Ranked set sampling, Nonparametric control charts, Wilcoxon rank sum test, Mann - Whitney statistics, Hodges - Lehmann estimato