In this study a method will be developed to test whether the subgroups formed for T^2 control charts, a multivariate process control tool, are rational. In an earlier work we suggested that a comparison of the mean square successive difference variance to the usual variance could be used to test the rationality of the subgroups in the univariate control charts. The method proposed in this paper is a multivariate extension of testing the equality of two variance estimators.
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Holmes, D. & Mergen, A. E. (2003). Estimating potential capability of an unstable process. Paper presented the 2003 Northeast Decision Sciences Institute Annual Meeting, The Westin Hotel, Providence RI, 27-29 March (pp. 286-288).
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