Estimating Process Capability Index C PM Using a Bootstrap Sequential Sampling Procedure |
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Authors: | L. Sandamali Dharmasena P. Castagliola |
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Affiliation: | 1. School of Mathematical and Geospatial Sciences , RMIT University , Melbourne , Australia;2. Université de Nantes &3. IRCCyN, UMR CNRS , Nantes , France |
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Abstract: | Construction of a confidence interval for process capability index C PM is often based on a normal approximation with fixed sample size. In this article, we describe a different approach in constructing a fixed-width confidence interval for process capability index C PM with a preassigned accuracy by using a combination of bootstrap and sequential sampling schemes. The optimal sample size required to achieve a preassigned confidence level is obtained using both two-stage and modified two-stage sequential procedures. The procedure developed is also validated using an extensive simulation study. |
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Keywords: | Bootstrapping Capability index Confidence intervals Two-stage sequential procedures |
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