Phase I control charts for independent Bernoulli data

Connie M. Borror, Charles W. Champ

Research output: Contribution to journalArticle

15 Scopus citations

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 languageEnglish (US)
Pages (from-to)391-396
Number of pages6
JournalQuality and Reliability Engineering International
Volume17
Issue number5
DOIs
StatePublished - Sep 1 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

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