Type I(/spl alpha/ ) error performance of Shewhart Control Chart with Interpretation Rules

Abdul Jamali, Li Jinlin, Noor Memon
2006 2006 International Conference on Emerging Technologies  
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
more » ... er of false alarm can be fairly high for particular rules when the underlying data from a gamma distribution rather than normal distribution.
doi:10.1109/icet.2006.335907 fatcat:hwcgn4z4lna67e34clgny6w6ly