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Phase I control charts for independent Bernoulli data
Author(s) -
Borror Connie M.,
Champ Charles W.
Publication year - 2001
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.425
Subject(s) - control chart , statistics , bernoulli's principle , false alarm , mathematics , x bar chart , constant false alarm rate , chart , sample size determination , control limits , computer science , algorithm , engineering , process (computing) , aerospace engineering , operating system
Phase I Shewhart p , np and runs of conforming charts are investigated. The performance of these charts are assessed using the probability of a false alarm. As with other Phase I Shewhart charts, the probability of a false alarm increases as the number, m , of samples increases for a fixed sample size, n . For a fixed value of m , the probability of at least one signal decreases as the sample size n increases. The probability of a signal for a runs of conforming chart depends on the number of samples m . Like the p and np charts, as m increases the probability of a false alarm increases. Unlike the p and np charts, the false alarm rate for a runs of conforming chart does not depend on the in‐control value of p . Copyright © 2001 John Wiley & Sons, Ltd.
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