A Comparison of the performance of mean, median, and precedence control charts for nonnormal data

  • Kim, Jung-Hee (System Engineering Team, Memory Division, Device Solution Network, Samsung Electronics) ;
  • Lee, Sung-Im (Department of Information statistics, Dankook University) ;
  • Park, Heon-Jin (Department of statistics, Inha University) ;
  • Lee, Jae-Cheol (System Engineering Team, Memory Division, Device Solution Network, Samsung Electronics) ;
  • Jang, Young-Chul (System Engineering Team, Memory Division, Device Solution Network, Samsung Electronics)
  • 발행 : 2005.05.20

초록

In this article, we will compare the performance of the mean control chart, the median control chart, the transformed mean control chart, the transformed median control chart, and the precedence control chart by simulation study. For control charts with transformed data, Yeo-Johnson transformation is used. Under the in-control condition, ARL's in all control charts coincide with the designed ARL in the normal distribution, but in the other distributions, only the precedence control chart provides the in-control ARL as designed. Under the out-of-control condition, the mean control chart is preferred in the normal distribution and the median control chart is preferred in the heavy-tailed distribution and the precedence control chart outperforms in the short-tailed distribution.

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