The Performance of the EWMA Median Chart in the Presence of Measurement Error


  • Huu Du Nguyen Department of Mathematics, Vietnam National University of Agriculture
  • Quoc Thong Nguyen Institute of Artificial Intelligence and Data Science, Dong A University
  • Thi Hien Nguyen Departement of Mathematics, CY TECH, CY Cergy Paris University
  • Narayanaswamy Balakrishnan Department of Mathematics and Statistics, McMaster University
  • Kim Phuc Tran Ecole Nationale Sup´erieure des Arts et Industries Textiles, GEMTEX Laboratory



measurement error, median, EWMA control chart, expert systems, smart production


Measurement error always exists in quality control applications and may considerably affect the ability of control charts to detect an out-of-control situation. In this paper, we study the performance of the EWMA median chart using a Markov Chain approach with a linear covariate error model and a corrected formula for the distribution of the sample median. The performance is evaluated through the Average Run Length. Several figures and tables are presented and enumerated to show the statistical performance of the EWMA median control chart for different sources of measurement errors. The positive effect of taking multiple measurements for each item in a subgroup on the performance of the EWMA median chart is also investigated. An example illustrates the use of this study is introduced. The numerical simulation shows that the measurement errors have a negative influence on the proposed chart.




How to Cite

Huu Du Nguyen, Quoc Thong Nguyen, Thi Hien Nguyen, Narayanaswamy Balakrishnan, Kim Phuc Tran. The Performance of the EWMA Median Chart in the Presence of Measurement Error. Artificial Intelligence Evolution [Internet]. 2020 May 28 [cited 2022 Dec. 1];1(1):48-62. Available from: