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Median rankit control chart by the quantile approach

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  • G. K. Kanji
  • Osama Hasan Arif

Abstract

It is desirable that the data for a statistical control chart be normally distributed. However, if the data are not normal, then a transformation can be used, e.g. Box-Cox transformations, to produce a suitable control chart. In this paper we will discuss a quantile approach to produce a control chart and to estimate median rankit for various non-normal distributions. We will also provide examples of logistic data to indicate how a quantile approach could be used to construct a control chart for a non-normal distribution using a median rankit.

Suggested Citation

  • G. K. Kanji & Osama Hasan Arif, 2000. "Median rankit control chart by the quantile approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 757-770.
    • Handle: RePEc:taf:japsta:v:27:y:2000:i:6:p:757-770
    DOI: 10.1080/02664760050081933
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    References listed on IDEAS

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    1. Warren Gilchrist, 1997. "Modelling with quantile distribution functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(1), pages 113-122.
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    Cited by:

    1. Lucas O. F. Sales & André L. S. Pinho & Marcelo Bourguignon & F. Moisés C. Medeiros, 2022. "Control charts for monitoring the median in non-negative asymmetric data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 1037-1068, October.
    2. Christopher S. Withers & Saralees Nadarajah, 2016. "Cusums for tracking arbitrary functionals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 70(3), pages 193-228, August.

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