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Volume 50, Issue 1 (August 2021)
A New Distribution-Free Control Chart for Monitoring Process Median Based on the Statistic of the Sign Test
(Received 25 February 2021; accepted 22 June 2021)
Published Online: 12 August 2021
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Control charts are used to improve the quality of outputs in manufacturing, industrial, and service processes. The parametric control charts produce more false alarms and unacceptable out-of-control signals when the underlying distribution of the process is not normal. Nonparametric/distribution-free control charts are efficient alternatives to overcome the said situation. In this article, the performance of a distribution-free double exponentially weighted moving average (EWMA) chart has been investigated based on the sign test statistic under simple and ranked set sampling schemes. The run-length properties of the proposed charts have been evaluated and compared with nonparametric EWMA sign, parametric EWMA, and parametric double EWMA control charts, using different run-length measures. The comparison reveals the efficiency of the proposed chart over its alternatives in detecting small and medium shifts in the process location. A real-data application using the substrate manufacturing process has been provided to show the implementation of the proposed chart.
School of Economics and Statistics, Guangzhou University, Guangzhou
Department of Statistics, Government Ambala Muslim Graduate College Sargodha, Sargodha
Zafar Nazir, Hafiz
Department of Statistics, University of Sargodha, Sargodha
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran
Department of Statistics, Government College University Faisalabad, Faisalabad
Stock #: JTE20210135
Title A New Distribution-Free Control Chart for Monitoring Process Median Based on the Statistic of the Sign Test