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The Max EWMAMS control chart for joint monitoring of process mean and variance with individual observations
Author(s) -
Ostadsharif Memar Ahmad,
Niaki Seyed Taghi Akhavan
Publication year - 2011
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1146
Subject(s) - ewma chart , control chart , statistic , chart , statistics , shewhart individuals control chart , computer science , variance (accounting) , statistical process control , process (computing) , x bar chart , scale (ratio) , data mining , mathematics , physics , accounting , quantum mechanics , business , operating system
A traditional approach to monitor both the location and the scale parameters of a quality characteristic is to use two separate control charts. These schemes have some difficulties in concurrent tracking and interpretation. To overcome these difficulties, some researchers have proposed schemes consisting of only one chart. However, none of these schemes is designed to work with individual observations. In this research, an exponentially weighted moving average (EWMA)‐based control chart that plots only one statistic at a time is proposed to simultaneously monitor the mean and variability with individual observations. The performance of the proposed scheme is compared with one of the two other existing combination charts by simulation. The results show that in general the proposed chart has a significantly better performance than the other combination charts. Copyright © 2010 John Wiley & Sons, Ltd.