Abstract
In this article we develop a power computation code in the R language which provides an easy to use tool to researchers in designing Shewhart control charts. It enables researchers to use different existing and newly introduced sensitizing rules and runs rules schemes designed for Shewhart-type control charts for location and spread. The code provides researchers to compute the power for different options of r out of m rules/schemes. The code is flexible to apply for any sample size, false alarm rate, type of control limits (one- or two-sided), amount of shift in the process parameters and a variety of popular distributions for commonly used Shewhart-type control charts (i.e.\({\bar{{X}} ,R ,S}\) and S 2 charts). These mentioned benefits of the developed functional code are only partially found in features of the existing software packages and these programs may be enhanced by adding the features of the developed code as a function in their libraries dealing with quality control charting.
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Acknowledgments
The authors are thankful to the reviewer(s) and editor for the useful comments to improve the initial version of the article. The author Muhammad Riaz is indebted to King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia for providing excellent research facilities through project SB111008. The authors are also grateful to Dr. Zawar Hussain and Mr. Muhammad Kashif Faiz for their helpful comments on some aspects of the code presentation.
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Mehmood, R., Riaz, M. & Does, R.J.M.M. Efficient power computation for r out of m runs rules schemes. Comput Stat 28, 667–681 (2013). https://doi.org/10.1007/s00180-012-0322-4
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DOI: https://doi.org/10.1007/s00180-012-0322-4