An Improved Multivariate T2 Control Chart for Individual Observations in Low Volume Manufacturing

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For multivariate statistical process quality control with individual observations, the usually recommended procedure is Hotelling's T2 control chart. Using the T2 statistic based on β distribution is an exact method for constructing multivariate control limits in low volume manufacturing, but it is not convenient in that the variation of sample size leads to a change in control limit. This paper presents an improved multivariate T2 control chart whose control limit does not change with sample size, which is especially useful when the sample size is small.
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