Guaranteed conditional performance of the S^2 control chart with estimated parameters

Faraz, Alireza;Woodall, William;Heuchenne, Cédric
(2015)

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Abstract
We evaluate the in-control performance of the S^2 control chart with estimated parameters conditional on the Phase I sample. Simulation results indicate no realistic amount of Phase I data is enough to have confidence that the in-control average run length (ARL) obtained will be near the desired value. To overcome this problem, we adjust the S^2 chart’s control limits such that the in-control ARL is guaranteed to be above a specified value with a certain specified probability. The required adjustment does not have too much of an adverse effect on the out-of-control performance of the chart.
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Faraz, A., Woodall, W., & Heuchenne, C. (2015). Guaranteed conditional performance of the S^2 control chart with estimated parameters (ISBA Discussion Paper 2015/04). https://hdl.handle.net/2078.5/191844