A comparison of Shewhart Individuals control charts based on normal, non-parametric and extreme-value theory

M.B. Vermaat, R.A. Ion, R.J.M.M. Does, C.A.J. Klaassen

    Research output: Contribution to journalArticleAcademicpeer-review

    26 Citations (Scopus)
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    Abstract

    Several control charts for individual observations are compared. Traditional ones are the well-known Shewhart individuals control charts based on moving ranges. Alternative ones are non-parametric control charts based on empirical quantiles, on kernel estimators, and on extreme-value theory. Their in-control and out-of-control performance are studied by simulation combined with computation. It turns out that the alternative control charts are not only quite robust against deviations from normality but also perform reasonably well under normality of the observations. The performance of the Empirical Quantile control chart is excellent for all distributions considered, if the Phase I sample is sufficiently large.
    Original languageEnglish
    Pages (from-to)337-353
    Number of pages17
    JournalQuality and Reliability Engineering International
    Volume19
    Issue number4
    DOIs
    Publication statusPublished - 2003

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