Process Monitoring with Multivariate 𝑝-Control Chart

Table 3

ARL comparisons (example three).

	ARL for chart with Šidák's				ARL for chart with exact				ARL for chart with normal
	approximation control limits				estimated control limits				approximation control limits
𝑘	ARL0	ARL1	ARL1	ARL1	ARL0	ARL1	ARL1	ARL1	ARL0	ARL1	ARL1	ARL1
		upper	lower			upper	lower			upper	lower
𝑘=1.3	1250	1.000	1.080	1.040	370	1.000	1.034	1.017	385	1.000	1.042	1.021
𝑘=1.5	909	1.000	1.179	1.089	370	1.000	1.085	1.042	400	1.000	1.109	1.055
𝑘=1.8	769	1.000	1.460	1.230	370	1.000	1.211	1.106	526	1.000	1.302	1.151
𝑘=2	769	1.000	1.783	1.392	370	1.000	1.378	1.189	526	1.000	1.502	1.251
𝑘=2.3	909	1.000	2.539	1.770	370	1.000	1.586	1.293	455	1.000	1.999	1.500