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The Sensitivity of Common Capability Indices to Departures from Normality

In: Frontiers in Statistical Quality Control 9

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  • Fred Spiring

    (The University of Manitoba, Department of Statistics)

Abstract

Summary The process capability index Cpw provides a general representation for a wide variety of process capability indices including Cp, Cpk, Cpm and Cpmk. In this manuscript we will develop a procedure to investigate the sensitivity of Cpw to departures from normality and discuss the impact on inferences drawn for a variety of regions and weights. The focus will be on the widely used indices and in particular those indices whose inference focuses on the ability of the process to be clustered around the target. The robustness of Ĉpw to distributional assumptions and the resulting impact on the inferences will be compared.

Suggested Citation

  • Fred Spiring, 2010. "The Sensitivity of Common Capability Indices to Departures from Normality," Springer Books, in: Hans-Joachim Lenz & Peter-Theodor Wilrich & Wolfgang Schmid (ed.), Frontiers in Statistical Quality Control 9, pages 277-293, Springer.
  • Handle: RePEc:spr:sprchp:978-3-7908-2380-6_18
    DOI: 10.1007/978-3-7908-2380-6_18
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