CUMIN charts

Willem/Wim Albers, W.C.M. Kallenberg

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    Abstract

    Abstract. Classical control charts are very sensitive to deviations from normality. In this respect, nonparametric charts form an attractive alternative. However, these often require considerably more Phase I observations than are available in practice. This latter problem can be solved by introducing grouping during Phase II. Then each group minimum is compared to a suitable upper limit (in the two-sided case also each group maximum to a lower limit). In the present paper it is demonstrated that such MIN charts allow further improvement by adopting a sequential approach. Once a new observation fails to exceed the upper limit, its group is aborted and a new one starts right away. The resulting CUMIN chart is easy to understand and implement. Moreover, this chart is truly nonparametric and has good detection properties. For example, like the CUSUM chart, it is markedly better than a Shewhart X-chart, unless the shift is really large.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages22
    Publication statusPublished - Jul 2007

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.128/1847
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • MSC-62P30
    • MSC-62L10
    • EWI-10424
    • MSC-62G30
    • Order statistics
    • Statistical Process Control
    • Phase II control limits
    • CUSUM-chart
    • IR-64163
    • METIS-241758

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