Accuracy analysis of the estimated process yield based on Spk

W.l. Pearn*, C. C. Chuang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Process yield has been the most basic and common criterion used in the manufacturing industry as a base for measuring process performance. Boyles considered a measurement formula called Spk, which establishes the relationship between the manufacturing specification and the actual process performance, providing an exact (rather than approximate) measure of process yield. Unfortunately, the sampling distribution and the associated statistical properties of Spk are analytically intractable. In this paper, we consider the natural estimator of the measure Spk. We investigate the accuracy of the natural estimator of Spk computationally, using a simulation technique to find the relative bias and the relative mean square error for some commonly used quality requirements. Extensive simulation results are provided and analyzed, which are useful to the engineers for factory applications in measuring process performance.

Original languageEnglish
Pages (from-to)305-316
Number of pages12
JournalQuality and Reliability Engineering International
Issue number4
StatePublished - 1 Jun 2004


  • Process yield measure
  • Relative bias
  • Relative mean square error

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