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Statistical Performance of Control Charts
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K. Govindaraju
Published/Copyright:
March 15, 2010
Abstract
Average run length is the most popular measure to assess the statistical performance of a control chart procedure. This paper discusses the limitations of the traditional average run length measure and introduces the concept of ‘unity’ average run length which is the ratio of the expected run length to the number of points plotted. The use of overall probability of acceptance for a set of plotted points is recommended as a supplementary performance measure. The background theory for using the overall probability acceptance is borrowed from the field of acceptance sampling. A discussion on how to improve the efficiency of the control chart signal rule is also made.
Published Online: 2010-03-15
Published in Print: 2005-April
© Heldermann Verlag
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Keywords for this article
Average run length;
average sample number;
control chart;
single sampling plan
Articles in the same Issue
- Statistical Performance of Control Charts
- A Note on Optimum Chain Sampling (ChSP-1)
- A Modified Quantile Estimator Using Extreme-Value Theory with Applications
- Stochastics in the Manufacture and Operation of Fuel Assemblies for Nuclear Power Plants
- Improving the Maintenance System of Tippers A Case Study
- Two Examples of a Successful Multivariate Quantitative Analysis in Industry
- Robustness of Group Runs Control Chart to Non-normality
- Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis
- Reliability For A Bivariate Gamma Distribution
- Improving the Variability Function in Case of a Monotonic Probability Distribution
- A Bivariate Weibull Regression Model
