False alarm rates for the Shewhart control chart with interpretation rules

Authors:
Abdul Sattar Jamali;Li JinLin
Affiliations:
School of Management and Economics, Beijing Institute of Technology, Beijing, China;School of Management and Economics, Beijing Institute of Technology, Beijing, China
Venue:
ROCOM'06 Proceedings of the 6th WSEAS international conference on Robotics, control and manufacturing technology
Year:
2006

Citing 1
Cited 2

Exact results for shewhart control charts with supplementary runs rules

Technometrics

Monitoring the stability of the processes in defined level software companies using control charts with three sigma limits

WSEAS Transactions on Information Science and Applications
Monitoring the stability of the processes in defined level software companies using control charts with three sigma limits

WSEAS Transactions on Information Science and Applications

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Abstract

Shewhart X chart usually supplemented by interpretation rules is common in practice. These rules are designed to show an earlier detection of un-natural patterns in the process mean. Although these rules are valuable in detecting the "true" problems, they also increase the probability of false alarm. In this paper the false alarm rates of most used seven interpretation rules were obtained through by developing a spread sheet for normal and non-normal distributions. The results show that the number of false alarm can be fairly high for particular rules when the underlying data from a gamma distribution rather than normal distribution.