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Use of ranked set sampling in nonparametric control charts

  • Muhammad Abid*
  • , Hafiz Zafar Nazir
  • , Muhammad Riaz
  • , Zhengyan Lin
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

Control charts are widely used to identify changes in a production process. Nonparametric or distribution-free charts can be useful when there is a lack of underlying process distribution. A nonparametric exponentially weighted moving average (EWMA) control chart based on sign test using ranked set sampling (RSS) is proposed to monitor the possible small shifts in the process mean. The performance of the proposed chart is evaluated in terms of average run length, median run length, and standard deviation of the run length distribution. It has been observed that the proposed version of the EWMA sign chart, using RSS shows better detection ability than that version of the EWMA sign chart and the parametric EWMA control chart using simple random sampling scheme. An application with real data-set is also provided to explain the proposal for practical considerations.

Original languageEnglish
Pages (from-to)627-636
Number of pages10
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume39
Issue number5
DOIs
StatePublished - 3 Jul 2016

Bibliographical note

Publisher Copyright:
© 2016 The Chinese Institute of Engineers.

Keywords

  • Average run length
  • EWMA chart
  • binomial distribution
  • nonparametric
  • process mean
  • ranked set sampling

ASJC Scopus subject areas

  • General Engineering

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