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A nonparametric CUSUM chart for process dispersion
Author(s) -
Shirke D.T.,
Barale M.S.
Publication year - 2018
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2295
Subject(s) - cusum , control chart , ewma chart , x bar chart , statistics , chart , nonparametric statistics , control limits , shewhart individuals control chart , markov chain , computer science , statistical process control , \bar x and r chart , mathematics , process (computing) , operating system
In the present article, we propose a nonparametric cumulative sum control chart for process dispersion based on the sign statistic using in‐control deciles. The chart can be viewed as modified control chart due to Amin et al,[6][Amin RW, 1995] which is based on in‐control quartiles. An average run length performance of the proposed chart is studied using Markov chain approach. An effect of non‐normality on cumulative sum S 2 chart is studied. The study reveals that the proposed cumulative sum control chart is a better alternative to parametric cumulative sum S 2 chart, when the process distribution is non‐normal. We provide an illustration of the proposed cumulative sum control chart.