Deciles‐based EWMA‐type sign charts for process dispersion

In this paper, we propose and study nonparametric exponentially weighted moving average (EWMA) control charts based on the sign statistic, which are suitable for detecting changes in process dispersion. The sign statistic is defined by using appropriate deciles of the in‐control process distribution...

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Bibliographic Details
Published in:Quality and reliability engineering international 2022-11, Vol.38 (7), p.3726-3740
Main Authors: Godase, Dadasaheb G., Rakitzis, Athanasios C., Mahadik, Shashibhushan B., Khoo, Michael B. C.
Format: Article
Language:English
Subjects:
Control charts
Dispersion
nonparametric control chart
Nonparametric statistics
sign statistic
Statistical analysis
statistical process control
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Summary:In this paper, we propose and study nonparametric exponentially weighted moving average (EWMA) control charts based on the sign statistic, which are suitable for detecting changes in process dispersion. The sign statistic is defined by using appropriate deciles of the in‐control process distribution. The statistical performances of the proposed charts are determined through Monte Carlo simulation. Practical guidelines are provided for the statistical designs of these charts. We evaluate the statistical performances of the proposed charts by comparing them with that of the deciles‐based CUSUM sign chart and the EWMA lnS2 chart. The comparisons show that the proposed charts are viable nonparametric methods for monitoring the process dispersion. Finally, we provide an illustrative example to demonstrate the implementation of the proposed charts in practice.
ISSN:0748-8017
1099-1638
DOI:10.1002/qre.3169