## 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, tn, 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 samplesm. Like the p and np charts, as tn 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.

Original language | English (US) |
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Pages (from-to) | 391-396 |

Number of pages | 6 |

Journal | Quality and Reliability Engineering International |

Volume | 17 |

Issue number | 5 |

DOIs | |

State | Published - Sep 2001 |

## Keywords

- Binomial distribution
- Phase I chart
- Retrospective chart
- Runs of conforming chart

## ASJC Scopus subject areas

- Safety, Risk, Reliability and Quality
- Management Science and Operations Research