Distributional and inferential properties of the estimated precision C p based on multiple samples

W.l. Pearn, Y. S. Yang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Process precision index Cp has been widely used in the manufacturing industry to provide numerical measures on process potential. Pearn et al. (1998) considered an unbiased estimator of Cp for one single sample. They showed that the unbiased estimator is the UMVUE. They also proposed an efficient test for Cp based on one single sample, and showed that the test is the UMP test. In this paper, we consider an unbiased estimator of Cp for multiple samples. We show that the unbiased estimator is the UMVUE of Cp, which is asymptotically efficient. We also consider an efficient test for Cp, and show that the test is the UMP test for multiple samples. The practitioners can use the proposed test on their in-plant applications to obtain reliable decisions.

Original languageEnglish
Pages (from-to)443-453
Number of pages11
JournalQuality and Quantity
Volume37
Issue number4
DOIs
StatePublished - 1 Nov 2003

Keywords

  • Asymptotically efficient
  • Power
  • Process precision index
  • UMP test
  • UMVUE
  • Unbiased estimator
  • p-value

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