• Title/Summary/Keyword: Laney p' chart

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Development of a p Control Chart for Overdispersed Process with Beta-Binomial Model (베타-이항모형을 이용한 과산포 공정용 p 관리도의 개발)

  • Bae, Bong-Soo;Seo, Sun-Keun
    • Journal of Korean Society for Quality Management
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    • v.45 no.2
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    • pp.209-225
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    • 2017
  • Purpose: Since traditional p chart is unable to deal with the variation of attribute data, this paper proposes a new attribute control chart for nonconforming proportions incorporating overdispersion with a beta-binomial model. Methods: Statistical theories for control chart developed under the beta-binomial model and a new approach using this control chart are presented Results: False alarm probabilities of p chart with the beta-binomial model are evaluated and demerits of p chart under overdispersion are discussed from three examples. Hence a concrete procedure for the proposed control chart is provided and illustrated with examples Conclusion: The proposed chart is more useful than traditional p chart, individual chart to treat observed proportions nonconforming as variable data and Laney p' chart.