Effect of the Amount of Phase I Data on the Phase II Performance of S2 and S Control Charts

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Shewhart control charts for dispersion adjusted for parameter estimation (2017, methodology): “From this perspective, Chakraborti (2006) and Saleh, Mahmoud, Keefe, and Woodall (2015), for the case of the X chart, and Epprecht et al. (2015), for the case of the S chart (where S is the sample’s standard deviation), evaluated the effects of parameter estimation on the incontrol conditional RL…”
Monitoring the Coefficient of Variation Using a Variable Sampling Interval EWMA Chart (2017, background): “Hong et al. (2008) proposed an exponentially weighted moving average (EWMA) CV control chart.”
The Difficulty in Designing Shewhart X̄ and X Control Charts with Estimated Parameters (2015, background): “Epprecht et al. (2015) have addressed this practitioner-to-practitioner variability for Shewhart S and S2 control charts and highlighted the importance of considering the distributional properties of the false-alarm probability when determining the required phase I sample size.”
Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, background): “…false alarm rate ½CFAR or the conditional incontrol average run length [CARL0]) are more meaningful in the context of chart design with estimated parameters, since they take account of the practitioner-to-practitioner variability (see, for example, Saleh et al. 2015a and Epprecht et al. 2015).”