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Effect of Nonnormality on the Economic Design of Warning Limit Charts.

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Title: Effect of Nonnormality on the Economic Design of Warning Limit Charts.
Authors: Chou, Chao-Yu1 (AUTHOR) choucy@cim.yuntech.edu.tw, Chen, Chung-Ho2 (AUTHOR), Liu, Hui-Rong3 (AUTHOR)
Source: Quality Engineering. 2004, Vol. 16 Issue 4, p567-575. 9p. 7 Charts.
Subjects: Quality control charts, Orthogonal arrays, Manufacturing processes, Probability theory, Measurement
Abstract: Control charts are widely applied to monitor manufacturing processes. In 1962, Page presented a modified chart with warning limit, which includes an upper and lower warning band. In 1975, Gordon and Weindling presented a cost model for determining the five parameters of a warning limit chart: the sample size, the sampling interval between successive subgroups, the control limit coefficient, the warning limit coefficient, and the significant run length. When conducting the design of control charts, one usually assumes the measurements are normally distributed. However, this assumption may not be tenable in some specific production processes. Burr developed a general probability distribution to represent a wide range of density functions, including normal and nonnormal ones. In this article, we study the effect of nonnormality on the design of warning limit charts by combining Gordon and Weindling's cost model with the Burr distribution. In this study, it is observed that negative skewness leads to wider control and warning limits. In addition, larger kurtosis results in a longer significant run length and wider control and warning limits. [ABSTRACT FROM AUTHOR]
Copyright of Quality Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Effect of Nonnormality on the Economic Design of Warning Limit Charts.
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  Data: <searchLink fieldCode="DE" term="%22Quality+control+charts%22">Quality control charts</searchLink><br /><searchLink fieldCode="DE" term="%22Orthogonal+arrays%22">Orthogonal arrays</searchLink><br /><searchLink fieldCode="DE" term="%22Manufacturing+processes%22">Manufacturing processes</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Measurement%22">Measurement</searchLink>
– Name: Abstract
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  Data: Control charts are widely applied to monitor manufacturing processes. In 1962, Page presented a modified chart with warning limit, which includes an upper and lower warning band. In 1975, Gordon and Weindling presented a cost model for determining the five parameters of a warning limit chart: the sample size, the sampling interval between successive subgroups, the control limit coefficient, the warning limit coefficient, and the significant run length. When conducting the design of control charts, one usually assumes the measurements are normally distributed. However, this assumption may not be tenable in some specific production processes. Burr developed a general probability distribution to represent a wide range of density functions, including normal and nonnormal ones. In this article, we study the effect of nonnormality on the design of warning limit charts by combining Gordon and Weindling's cost model with the Burr distribution. In this study, it is observed that negative skewness leads to wider control and warning limits. In addition, larger kurtosis results in a longer significant run length and wider control and warning limits. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Quality Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1081/QEN-120038018
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 567
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      – SubjectFull: Quality control charts
        Type: general
      – SubjectFull: Orthogonal arrays
        Type: general
      – SubjectFull: Manufacturing processes
        Type: general
      – SubjectFull: Probability theory
        Type: general
      – SubjectFull: Measurement
        Type: general
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      – TitleFull: Effect of Nonnormality on the Economic Design of Warning Limit Charts.
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            NameFull: Chou, Chao-Yu
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            NameFull: Chen, Chung-Ho
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            NameFull: Liu, Hui-Rong
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              M: 12
              Text: 2004
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