Computational Statistics

, Volume 28, Issue 2, pp 667–681

Efficient power computation for r out of m runs rules schemes

  • Rashid Mehmood
  • Muhammad Riaz
  • Ronald J. M. M. Does
Open AccessOriginal Paper

DOI: 10.1007/s00180-012-0322-4

Cite this article as:
Mehmood, R., Riaz, M. & Does, R.J.M.M. Comput Stat (2013) 28: 667. doi:10.1007/s00180-012-0322-4


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 S2 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.


Control charts Efficient code Normal and non-normal distributions Power R language Runs rules 
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Copyright information

© The Author(s) 2012

Authors and Affiliations

  • Rashid Mehmood
    • 1
    • 2
  • Muhammad Riaz
    • 1
    • 3
  • Ronald J. M. M. Does
    • 4
  1. 1.Department of StatisticsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of CommerceIslamia University Bahawalpur CampusRahim Yar KhanPakistan
  3. 3.Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia
  4. 4.Department of Quantitative EconomicsIBIS UvA, University of AmsterdamAmsterdamThe Netherlands