A generalization of Clements' method for non-normal Pearsonian processes with asymmetric tolerances

W.l. Pearn, K. S. Chen, G. H. Lin

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

For non-normal Pearsonian processes, Clements proposed a method for calculating estimators of the two basic process capability indices C<DN>p</DN> and C<DN>pk</DN>. Pearn and Kotz applied Clements' method to obtain estimators for the other two more advanced process capability indices C<DN>pm</DN> and C<DN>pmk</DN>. Their considerations on those indices, however, are restricted to processes with symmetric tolerances. Recently, Pearn and Chen proposed a generalization of the index C<DN>pk</DN> to handle cases with asymmetric tolerances. The generalization takes into account the asymmetry of the manufacturing specifications, which is shown to be superior to the other existing methods. In this paper, we apply this approach and consider a generalization of Clements' method for non-normal Pearsonian processes where the manufacturing tolerances are asymmetric. Comparisons between the original Clements' method and the proposed generalization are provided. The results indicate that the generalization is more accurate than the original Clements' method in measuring process capability.

Original languageEnglish
Pages (from-to)507-522
Number of pages16
JournalInternational Journal of Quality and Reliability Management
Volume16
Issue number5
DOIs
StatePublished - 1 Dec 1999

Keywords

  • Manufacturing
  • Measurement
  • Process efficiency
  • Theory

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