A COMPARISON OF PHASE I CONTROL CHARTS

A carefully done Phase I analysis is a vital part of an overall statistical process control and monitoring regime. Distribution-free control charts can play a useful role in this analysis, as a parametric model assumption often cannot be adequately verified. The performance of two distribution-free...

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Bibliographic Details
Published in:South African journal of industrial engineering 2015-08, Vol.26 (2), p.178-190
Main Authors: Coelho, Margarethe, Chakraborti, Subhabrata, Graham, Marien Alet
Format: Article
Language:English
Subjects:
Comparative studies
Control charts
Engineering, Industrial
Industrial engineering
nonparametric
retrospective phase
simulation
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Summary:A carefully done Phase I analysis is a vital part of an overall statistical process control and monitoring regime. Distribution-free control charts can play a useful role in this analysis, as a parametric model assumption often cannot be adequately verified. The performance of two distribution-free charts for the location - the mean-rank and the median chart - are compared in this paper. For benchmarking reasons, the parametric X-chart is included in the comparisons. It is seen that the distribution-free charts are in-control robust, whereas the X-chart is not, and they both perform similarly to the X-chart for normally distributed data. However, for non-normal data, they both outperform the X-chart. The results provide evidence in favour of using distribution-free Phase I charts in practice. Concluding remarks and suggestions for future research are given.
ISSN:2224-7890
1012-277X
2224-7890
DOI:10.7166/26-2-1026