Mathematical Sciences: Faculty Publications

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.

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