Title: Robustness of the EWMA median control chart to non-normality

Authors: Yu-Chang Lin; Chao-Yu Chou; Chung-Ho Chen

Addresses: Department of Accounting Information, National Taichung University of Science and Technology, Taichung 404, Taiwan ' Department of Finance, National Taichung University of Science and Technology, Taichung 404, Taiwan ' Department of Management and Information Technology, Southern Taiwan University of Science and Technology, Tainan 710, Taiwan

Abstract: The control charts with exponentially weighted moving average (EWMA) had been shown to be effective for detecting small shifts in the mean of the process characteristic. When the data depart from normality or have the presence of outliers, the sample median might be used to provide a fairer representation of centrality of the data. In the present paper, the performances of the EWMA median control charts are evaluated under several distributions. The average run length (ARL) is applied to evaluate the performance of control charts, and the method for calculating ARL of the EWMA median chart is developed using the integral equation approach. Based on our study, the EWMA median chart with a small value of smoothing constant has a low false alarm rate. But as the shift of process mean is large, to maintain the detection ability of the chart, the value of smoothing constant should be increased. In addition, if the data follow a heavy-tailed distribution, it can be shown that the EWMA median chart is always more efficient than the EWMA average chart in detecting the shift of process mean.

Keywords: control charts; exponentially weighted moving average; EWMA; median; non-normality; SPC; statistical process control; average run length; ARL.

DOI: 10.1504/IJISE.2017.080687

International Journal of Industrial and Systems Engineering, 2017 Vol.25 No.1, pp.35 - 58

Received: 20 Jun 2014
Accepted: 12 Feb 2015
Published online: 04 Dec 2016 *

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