Phase I Control Charts for Independent Bernoulli Data
Document Type
Article
Publication Date
9-2001
Publication Title
Quality and Reliability Engineering International
DOI
10.1002/qre.425
ISSN
1099-1638
Abstract
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.
Recommended Citation
Borror, Connie M., Charles W. Champ.
2001.
"Phase I Control Charts for Independent Bernoulli Data."
Quality and Reliability Engineering International, 17 (5): 391-396.
doi: 10.1002/qre.425
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/501
