Journal Published Online: 05 March 2019
Volume 48, Issue 1

A Comparative Analysis of Robust Dispersion Control Charts with Application Related to Health Care Data

CODEN: JTEVAB

Abstract

One of the most efficient tools of statistical process control is the control chart. The efficiency and effectiveness of control charts depend on its in-control robustness, i.e., how the control chart reacts against the violation of the designed model of the chart. The current study evaluates the in-control robustness properties of a chart that is based on the mixture of the statistics of cumulative sum and exponentially weighted moving averages (CS-EWMA) control charts for monitoring the process dispersion under normal, nonnormal, and contaminated normal environments. The in-control robustness performance of the CS-EWMA chart is compared with some existing control charts. Moreover, the appropriate values of the design coefficients for selected charts are also determined. In-control robustness is evaluated in terms of different properties of run length distribution, such as average run length, standard deviation of the run length, and various percentile points. In addition, a real-life application of all the selected charts based on the colonoscopy procedure is considered for practical implementation. It is found that the CS-EWMA chart has a better in-control robustness performance as compared with its counterparts.

Author Information

Abid, Muhammad
Department of Statistics, Government College University Faisalabad, Faisalabad, Pakistan
Nazir, Hafiz Zafar
Department of Statistics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
Tahir, Muhammad
Department of Statistics, Government College University Faisalabad, Gurunanakpura, Faisalabad, Pakistan
Riaz, Muhammad
Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran, Saudi Arabia
Abbas, Tahir
Department of Statistics, Government College University Lahore, Anarkali, Lahore, Pakistan
Pages: 13
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Details
Stock #: JTE20180572
ISSN: 0090-3973
DOI: 10.1520/JTE20180572