Modified Tukey's control chart

Victor Tercero-Gomez, Jose Ramirez-Galindo, Alavarado Cordero-Franco, Milton Smith, Mario Beruvides

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Phase I of control analysis requires large amount of data to fit a distribution and estimate the corresponding parameters of the process under study. However, when only individual observations are available, and no a priori knowledge exists, the presence of outliers can bias the analysis. A relatively recent and successful approach to address this situation is Tukey's Control Chart (TCC), a charting method that applies the Box Plot technique to estimate the control limits. This procedure has proven to be effective for symmetric distributions. However, when skewness is present the average run length performance diminishes significantly. This article proposes a modified version of TCC to consider skewness with minimum assumptions on the underlying distribution of observations. Using theoretical results and Monte Carlo simulation, the modified TCC is tested over several distributions proving a better representation of skewed populations, even in cases when only a limited number of observations are available.

Original languageEnglish
Pages (from-to)1566-1579
Number of pages14
JournalCommunications in Statistics: Simulation and Computation
Volume41
Issue number9
DOIs
StatePublished - 2012

Keywords

  • Average run length
  • Box plot
  • Skewness
  • Tukey's Control Chart

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