#### Title

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