Design Comparison Between One- and Two-Sided S2 Control Charts with Estimated Parameter

Controlling the exponentially weighted moving average S2 control chart false alarm behavior when the in‐control variance level must be estimated

“…A popular motivation for this guarantee‐a‐minimum IC ARL is that it incorporates appropriately the so‐called practitioner‐to‐practitioner variability. This framework has been discussed extensively for Shewhart charts monitoring the normal variance in References 22‐28. Most of the latter works derived numerical procedures for calculating the limit adjustments, which is much more difficult for CUSUM and EWMA control charts, where Monte Carlo simulations (bootstrapping for the phase I dataset) are typically used.…”

“…[2015], Guo and Wang [2017], Goedhart et al [2017], Faraz et al [2015], Faraz et al [2018], Aparisi et al [2018], and Jardim et al [2019]. Most of the latter works derived numerical procedures for calculating the limit adjustments, which is much more difficult for CUSUM and EWMA control charts, where Monte Carlo simulations (bootstrapping for the phase I dataset) are typically used.…”