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 UMPtest for multiple samples. The practitioners can use the proposed test on theirin-plant applications to obtain reliable decisions.
Quality & Quantity – Springer Journals
Published: Oct 17, 2004
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