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- Title
The performance of EWMA median and CUSUM median control charts for a normal process with measurement errors.
- Authors
Cheng, Xiao‐Bin; Wang, Fu‐Kwun
- Abstract
Abstract: Measurement error is often occurred in statistical process control. The effect of a linearly covariate error model on the exponentially weighted moving average (EWMA) median and cumulative sum (CUSUM) median charts is investigated. The results indicate that the EWMA median and CUSUM median charts are significantly affected in the presence of measurement errors. We compared the performance of the EWMA median and CUSUM median charts by using Markov chain method in the average run length and the standard deviation of the run length. We concluded that the CUSUM median chart for small shifts and the EWMA median chart for larger shifts are recommended. Two examples are provided to illustrate the application of the EWMA and CUSUM median charts with measurement errors.
- Subjects
STATISTICAL process control; QUALITY control charts; STANDARD deviations; MEASUREMENT errors; ERROR analysis in mathematics
- Publication
Quality & Reliability Engineering International, 2018, Vol 34, Issue 2, p203
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.2248