Multivariate Process Variability Monitoring |
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Authors: | Maman A Djauhari Muhammad Mashuri Dyah E Herwindiati |
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Institution: | 1. Faculty of Mathematics and Natural Sciences , Institut Teknologi Bandung , Bandung, Indonesia maman@dns.math.itb.ac.id;3. Faculty of Mathematics and Natural Sciences , Institut Teknologi Bandung , Bandung, Indonesia |
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Abstract: | Understanding multivariate variability is a difficult task because there is no single measure that can be properly used. This article presents a new measure that features good properties. If this measure is simultaneously used with generalized variance, it will give a better understanding of multivariate variability. It can also efficiently be used for large data sets with high dimensions. Furthermore, when it is used for constructing a Shewhart-type chart to monitor multivariate variability, the resulting chart has a much better out-of-control ARL than the generalized variance chart. An example illustrates its advantage. |
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Keywords: | Control chart Generalized variance Multivariate variability measure Vector variance |
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