Sense and sensibility: on the diagnostic value of control chart rules for detection of shifts in time series data.
Jacob AnhøjTore Wentzel-LarsenPublished in: BMC medical research methodology (2018)
Based on these results and our own practical experience, we suggest a stepwise approach to SPC analysis: Start with a run chart using the Anhoej rules and with the median as process centre. If, and only if, the process shows random variation at the desired level, apply the 3-sigma rule in addition to the Anhoej rules using the mean as process centre.