Optimal designs of the side sensitive synthetic chart for the coefficient of variation based on the median run length and expected median run length.

ABSTRACT: The side sensitive synthetic chart was proposed to improve the performance of the synthetic chart to monitor shifts in the coefficient of variation (γ), by incorporating the side sensitivity feature where successive non-conforming samples must fall on the same side of the control limits. The existing side sensitive synthetic- γ chart is only evaluated in terms of the average run length (ARL) and expected average run length (EARL). However, the run length distribution is skewed to the right, hence the actual performance of the chart may be frequently different from what is shown by the ARL and EARL. This paper evaluates the entire run length distribution by studying the percentiles of the run length distribution. It is shown that false alarms frequently happen much earlier than the in-contr

SUBMITTER: Yeong WC 

PROVIDER: S-EPMC8323885 | biostudies-literature | 2021

REPOSITORIES: biostudies-literature