### Abstract

For processes concerning attribute data with (very) small failure rate p, often negative binomial control charts are used. The decision whether to stop or continue is made each time r failures have occurred, for some r≥1. Finding the optimal r for detecting a given increase of p first requires alignment of the charts in terms of in-control behavior. In the present paper binomial charts are subjected to this same requirement. Subsequent study reveals that the resulting charts are quite attractive in several aspects, such as detection power. For the case of unknown p, an estimated version of the chart is derived and studied.

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | Statistics and Probability (SP) |

Number of pages | 9 |

Publication status | Published - Oct 2009 |

### Publication series

Name | Memorandum |
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Publisher | Department of Applied Mathematics, University of Twente |

No. | 1905 |

ISSN (Print) | 1874-4850 |

ISSN (Electronic) | 1874-4850 |

### Keywords

- METIS-264086
- IR-68222
- Average run length
- Geometric charts
- Health care monitoring
- Estimated parameters
- Statistical Process Control
- EWI-16204
- MSC-62P10

## Cite this

Albers, WW. (2009).

*Improved binomial charts for monitoring high-quality processes*. (Memorandum; No. 1905). Enschede: Statistics and Probability (SP).