ROBUSTNESS OF DISPERSION CONTROL CHARTS IN SKEWED DISTRIBUTIONS

Authors

  • Ying-Chin Ho National Central University
  • Shih-Chou Kao Kao Yuan University
  • Chih-Feng Chou National Central University

DOI:

https://doi.org/10.23055/ijietap.2021.28.4.4729

Keywords:

Disturbances, mean squared error, non-normal distributions, outlier, robustness

Abstract

This study examines the relative efficiency and the finite sample breakdown point of eight different estimators in Phase I of the control charting process when outliers occur in non-normal data. The performance of control charts based on these estimators is investigated by using average run lengths under four disturbances in three skewed distributions. The simulation result shows that control charts based on the modified biweight A estimator (D7) and the median of the absolute deviations (MAD) from the median are more robust than those in highly skewed distributions. In practice, in addition to robustness, computational simplicity is another important factor for practitioners when they are choosing control charts. It is thus suggested the control chart based on the MAD should be considered first due to its simplicity and robustness.

Author Biographies

Ying-Chin Ho, National Central University

Institute of Industrial Management, National Central University

Chih-Feng Chou, National Central University

Institute of Industrial Management, National Central University

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Published

2021-12-07

How to Cite

Ho, Y.-C., Kao, S.-C., & Chou, C.-F. (2021). ROBUSTNESS OF DISPERSION CONTROL CHARTS IN SKEWED DISTRIBUTIONS. International Journal of Industrial Engineering: Theory, Applications and Practice, 28(4). https://doi.org/10.23055/ijietap.2021.28.4.4729

Issue

Section

Quality, Reliability, Maintenance Engineering