It is well known that the Shewhart control chart is relatively insensitive to detect small process average shifts. In this article, we introduce and investigate the basic features of the modified r out of m control chart. The new control chart outperforms the Shewhart control chart for small to moderate process average shifts and the corresponding r out of m control chart which has been recently appeared in the literature.
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Antzoulakos et al. (2008) studied this question.
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