A Nonparametric Scheme for Monitoring a Process Output with a Block Effect

Table 1

Values of UCL, FAR, and ARL₀.

	Number of treatments, 𝑘
Number of blocks, 𝑛		𝑘=3			𝑘=4			𝑘=5
	UCL	FAR	ARL0	UCL	FAR	ARL0	UCL	FAR	ARL0
n = 3	3	.1944	5.3	4.5	.1181	8.5	5	.2800	3.6
							6	.0075	133.3
n = 4	4	.0694	14.4	5	.1418	7.1	6	.2120	4.70
				6	.0307	32.6	7	.0769	13.0
							8	.0159	62.9
n = 5	4	.1242	8.1	5.5	.1452	6.9
	5	.0239	41.8	6.5	.0451	22.2
				7.5	.0078	128.2
n = 6	4	.1840	5.4	6	.1443	6.9
	5	.0521	9.2	7	.0518	19.3
	6	.0081	23.5	8	.0135	74.1
				9	.0019	526.3
n = 7	4	.0854	11.7
	5	.0207	37.0
	6	.0027	370.4
n = 8	5	.1197	8.4
	6	.0375	26.7
	7	.0080	125.0
	8	.0009
n = 9	5	.1540	6.5
	6	.0570	17.5
	7	.0158	63.3
	8	.0030	333.3
	9	.0003	3333.3