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A short note on the effect of sample size on the estimation error in Cp

Summary: [This abstract is based on the authors' abstract.] Process capability indices such as C[subscript]p are used extensively in manufacturing industries to assess processes in order to decide about purchasing. In practice, the parameter for calculating C[subscript]p is rarely known and is frequently replaced with estimates from an in-control reference sample. This article explores the optimal sample size required to achieve a desired error of estimation using absolute percentage error of different C[subscript]p estimates. Moreover, some practical tools are created to allow practitioners to find sample size in different situations.

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  • Topics: Engineering, Statistics, Process Capability
  • Keywords: Process capability (Cp), Process capability index (Cpk), Sample size, Sample estimates, Estimation, Error, Standard deviation
  • Author: Maman, Zahra Sedighi; Murphy, W. Wade; Maghsoodloo, Saeed; Ahmadi, Fatemah Haji; Megahed, Fadel M.;
  • Journal: Quality Engineering