Hotelling's T² charts with variable sampling interval and warning limit
by Shashibhushan B. Mahadik
International Journal of Quality Engineering and Technology (IJQET), Vol. 3, No. 4, 2013

Abstract: The idea of variable warning limit is applied to variable sampling interval (VSI) Hotelling's T² charts. The purpose is to reduce the average frequency of switches between the sampling interval lengths of VSI T² charts during their implementation. Expressions for the performance measures for variable sampling interval and warning limit (VSIWL) T² charts are developed. The performances of VSIWL T² charts are compared numerically with that of static, VSI, and VSI (1, 3) T² charts, where VSI (1, 3) T² charts are the VSI T² charts with runs rule (1, 3) for switching between sampling interval lengths. A VSIWL T² chart yields different out-of-control performances for the same in-control statistical performance depending on the choices of values of its warning limit. The values of its warning limit can be chosen to yield the average frequency of switches between its sampling interval lengths dramatically and significantly smaller than that of VSI and VSI (1, 3) T² charts, respectively, and to yield slightly better statistical performance than that of VSI and VSI (1, 3) T² charts.

Online publication date: Sat, 19-Jul-2014

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