Sensitivity Analyses of the Economic and Economic Statistical Designs of the Multivariate Synthetic T2 Chart |
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| Authors: | Wai Chung Yeong M. Shamsuzzaman Philippe Castagliola |
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| Affiliation: | 1. School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia;2. Industrial Engineering and Management Department, College of Engineering, University of Sharjah, Sharjah, United Arab Emirates;3. LUNAM Université, Université de Nantes &4. IRCCyN UMR CNRS 6597, Nantes, France |
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| Abstract: | This article performs a sensitivity analyses of the synthetic T2 chart using fractional factorial design, which integrates the interaction effects. We are interested in the effects of the input parameters on the optimal cost, chart's parameters, and average run lengths. We also look at the input parameters responsible for the increase in cost and improvement in statistical performance under statistical constraints, and investigate how the input parameters influence the binding effect of the statistical constraints. The sensitivity analyses of the synthetic T2 chart are compared with that of the Hotelling's T2 chart, and parameters responsible for the cost advantage of the synthetic T2 chart are identified. |
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| Keywords: | Analysis of variance Fractional factorial design Interaction effects Optimal cost Statistical constraints |
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