Robustness of Group Runs Control Chart to Non-normality
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M. P. Gadre
Abstract
Most of the commonly used control charts for variables have been developed under the assumption that the observations are coming from a normal population. One of them is ‘Group Runs’ GR control chart to detect shifts in the process mean proposed by Gadre and Rattihalli (Economic Quality Control 19: 29–43, 2004). In this article, we study the robustness of GR chart to violation of the assumption of normality. It is observed that, for moderate to large shifts in the process mean, GR chart is insensitive to the non-normality. It is also illustrated that, the GR chart performs better than the synthetic chart, when the process data are not coming from normal distribution.
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Artikel in diesem Heft
- 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