Triple Homogeneously Weighted Moving Average Charts for Monitoring Process Dispersion

Table 5

Performance measures for two-sided chart versus two-sided competing charts when  = 10 for .

		1.256	2.122	1.513	1.708	2.277	1.182	1.4645	2.515	1.795	1.992	2.481
0.5	1.07	1.10	1.71	1.12	1.19	1.53	1.08	1.18	2.12	1.24	1.34	1.70
	(0.38)	(0.44)	(0.95)	(0.37)	(0.42)	(0.62)	(0.39)	(0.57)	(0.99)	(0.52)	(0.55)	(0.67)
0.55	1.20	1.25	2.10	1.28	1.38	1.82	1.21	1.40	2.56	1.49	1.61	2.04
	(0.61)	(0.68)	(1.11)	(0.60)	(0.63)	(0.79)	(0.62)	(0.82)	(1.09)	(0.78)	(0.76)	(0.86)
0.6	1.40	1.48	2.57	1.56	1.66	2.22	1.42	1.70	3.06	1.88	1.98	2.51
	(0.85)	(0.92)	(1.27)	(0.95)	(0.90)	(1.04)	(0.87)	(1.06)	(1.27)	(1.15)	(1.05)	(1.13)
0.65	1.70	1.82	3.15	2.02	2.11	2.79	1.73	2.10	3.76	2.48	2.54	3.17
	(1.11)	(1.18)	(1.53)	(1.44)	(1.30)	(1.42)	(1.13)	(1.31)	(1.57)	(1.66)	(1.48)	(1.55)
0.7	2.10	2.26	3.93	2.79	2.81	3.64	2.13	2.61	4.74	3.40	3.40	4.17
	(1.42)	(1.51)	(1.99)	(2.22)	(1.93)	(2.01)	(1.44)	(1.65)	(2.17)	(2.43)	(2.13)	(2.19)
0.75	2.66	2.86	5.18	4.02	3.95	4.99	2.71	3.35	6.41	4.88	4.74	5.75
	(1.89)	(2.00)	(2.88)	(3.39)	(2.94)	(2.99)	(1.92)	(2.22)	(3.25)	(3.58)	(3.14)	(3.32)
0.8	3.46	3.76	7.42	6.23	5.98	7.38	3.52	4.53	9.26	7.41	7.16	8.58
	(2.69)	(2.87)	(4.62)	(5.50)	(4.73)	(4.81)	(2.72)	(3.31)	(5.20)	(5.54)	(4.96)	(5.45)
0.85	4.81	5.35	11.84	10.48	10.03	12.05	4.92	6.71	14.92	12.06	11.74	14.25
	(4.38)	(4.82)	(8.31)	(9.51)	(8.37)	(8.63)	(4.47)	(5.78)	(9.12)	(9.22)	(8.65)	(10.2)
0.9	7.51	8.85	22.63	20.01	19.49	23.40	7.83	11.85	28.02	22.80	23.07	28.93
	(8.72)	(9.97)	(17.53)	(18.67)	(17.36)	(18.87)	(9.03)	(12.57)	(18.76)	(18.66)	(19.11)	(24.16)
0.95	15.15	19.42	61.08	52.64	53.99	66.54	16.11	30.89	71.97	62.09	66.45	83.66
	(26.58)	(32.62)	(52.46)	(55.62)	(56.37)	(63.62)	(27.93)	(44.24)	(54.56)	(61.24)	(65.83)	(80.84)
1	200.63	200.74	200.74	200.56	200.62	200.36	199.99	200.25	200.71	200.19	200.76	200.26
	(2294.30)	(970.60)	(173.30)	(259.34)	(243.90)	(215.96)	(1719.48)	(418.32)	(156.60)	(227.19)	(219.08)	(206.20)
1.1	6.88	8.13	22.63	20.44	19.71	22.47	7.09	11.30	27.45	23.14	22.96	26.17
	(9.01)	(10.57)	(19.91)	(21.41)	(19.79)	(20.16)	(9.28)	(13.81)	(20.34)	(21.18)	(21.22)	(23.19)
1.2	3.63	3.94	8.13	7.36	6.96	7.90	3.68	4.85	10.02	8.57	8.08	8.89
	(3.37)	(3.69)	(6.46)	(7.74)	(6.70)	(6.37)	(3.44)	(4.40)	(7.06)	(7.67)	(6.86)	(6.87)
1.3	2.53	2.72	4.67	3.93	3.79	4.36	2.58	3.14	5.63	4.65	4.44	4.85
	(2.04)	(2.19)	(3.34)	(4.02)	(3.47)	(3.29)	(2.07)	(2.50)	(3.71)	(4.21)	(3.66)	(3.54)
1.4	1.99	2.09	3.30	2.60	2.56	2.96	2.02	2.37	3.85	3.02	2.94	3.24
	(1.49)	(1.57)	(2.23)	(2.53)	(2.18)	(2.08)	(1.51)	(1.75)	(2.44)	(2.69)	(2.33)	(2.21)
1.5	1.67	1.74	2.56	1.95	1.93	2.24	1.69	1.93	2.94	2.22	2.20	2.45
	(1.18)	(1.23)	(1.70)	(1.70)	(1.48)	(1.47)	(1.19)	(1.37)	(1.81)	(1.87)	(1.63)	(1.58)
1.6	1.46	1.51	2.12	1.58	1.61	1.83	1.47	1.65	2.40	1.77	1.77	2.00
	(0.96)	(1.01)	(1.39)	(1.20)	(1.08)	(1.10)	(0.98)	(1.12)	(1.48)	(1.36)	(1.20)	(1.20)
1.7	1.33	1.37	1.81	1.38	1.41	1.59	1.34	1.47	2.03	1.52	1.52	1.69
	(0.80)	(0.86)	(1.17)	(0.90)	(0.83)	(0.88)	(0.82)	(0.95)	(1.26)	(1.03)	(0.91)	(0.94)
1.8	1.23	1.26	1.59	1.26	1.27	1.41	1.24	1.34	1.76	1.35	1.36	1.51
	(0.68)	(0.71)	(1.01)	(0.69)	(0.63)	(0.7)	(0.69)	(0.80)	(1.08)	(0.80)	(0.73)	(0.78)
1.9	1.17	1.19	1.44	1.17	1.19	1.31	1.17	1.24	1.58	1.24	1.25	1.37
	(0.57)	(0.61)	(0.87)	(0.54)	(0.51)	(0.60)	(0.57)	(0.68)	(0.95)	(0.63)	(0.58)	(0.64)
2	1.12	1.14	1.33	1.12	1.13	1.23	1.12	1.17	1.44	1.17	1.19	1.28
	(0.49)	(0.52)	(0.76)	(0.43)	(0.41)	(0.50)	(0.49)	(0.58)	(0.83)	(0.50)	(0.49)	(0.55)
	13.92	14.33	18.72	17.39	17.31	18.53	13.97	15.33	20.34	18.45	18.51	19.91
	1.00	1.03	1.34	1.25	1.24	1.33	1.00	1.10	1.46	1.32	1.32	1.42
	1.00	1.07	1.87	1.52	1.51	1.77	1.00	1.23	2.17	1.71	1.70	1.97
		1.995	2.734	2.104	2.294	2.646	1.795	2.463	2.783	2.299	2.469	2.719
0.5	1.16	1.58	2.21	1.45	1.57	1.86	1.40	2.07	2.12	1.60	1.71	1.95
	(0.54)	(0.90)	(0.90)	(0.66)	(0.66)	(0.73)	(0.79)	(1.00)	(0.82)	(0.72)	(0.69)	(0.77)
0.55	1.36	1.94	2.64	1.78	1.89	2.25	1.72	2.50	2.54	1.97	2.06	2.38
	(0.79)	(1.08)	(1.00)	(0.92)	(0.86)	(0.93)	(1.01)	(1.10)	(0.97)	(0.95)	(0.89)	(1.01)
0.6	1.65	2.39	3.16	2.26	2.35	2.79	2.11	3.00	3.10	2.48	2.56	2.98
	(1.03)	(1.26)	(1.22)	(1.27)	(1.15)	(1.24)	(1.21)	(1.27)	(1.26)	(1.26)	(1.18)	(1.38)
0.65	2.03	2.93	3.93	2.97	3.01	3.56	2.61	3.68	3.93	3.21	3.26	3.89
	(1.28)	(1.51)	(1.62)	(1.75)	(1.57)	(1.73)	(1.46)	(1.57)	(1.75)	(1.70)	(1.61)	(2.01)
0.7	2.53	3.68	5.07	3.99	3.99	4.74	3.27	4.64	5.20	4.26	4.30	5.33
	(1.62)	(1.94)	(2.32)	(2.42)	(2.21)	(2.54)	(1.84)	(2.15)	(2.61)	(2.33)	(2.30)	(3.15)
0.75	3.24	4.80	6.97	5.60	5.52	6.74	4.22	6.25	7.36	5.91	6.07	7.91
	(2.17)	(2.74)	(3.56)	(3.48)	(3.27)	(4.10)	(2.54)	(3.21)	(4.18)	(3.44)	(3.63)	(5.37)
0.8	4.36	6.80	10.24	8.22	8.29	10.46	5.87	9.03	11.26	8.80	9.38	13.02
	(3.22)	(4.39)	(5.78)	(5.31)	(5.35)	(7.24)	(3.99)	(5.14)	(7.10)	(5.71)	(6.44)	(10.21)
0.85	6.41	10.79	16.69	13.41	13.98	18.62	9.17	14.54	19.33	15.05	16.69	24.40
	(5.58)	(7.89)	(10.53)	(9.51)	(10.39)	(14.99)	(7.20)	(9.01)	(13.96)	(11.37)	(13.53)	(21.49)
0.9	11.12	20.70	32.47	26.92	29.26	40.73	17.39	27.36	39.64	32.06	36.59	54.32
	(12.00)	(17.07)	(23.41)	(22.54)	(25.43)	(37.28)	(15.93)	(18.57)	(32.37)	(28.46)	(33.74)	(51.76)
0.95	27.98	56.64	85.00	77.77	86.32	110.16	48.15	70.52	103.87	92.62	103.40	131.68
	(41.86)	(52.44)	(70.57)	(76.38)	(85.02)	(108.06)	(51.66)	(53.64)	(94.2)	(91.15)	(101.81)	(130.24)
1	200.77	200.77	200.07	200.10	200.66	200.44	200.24	200.98	200.53	200.59	200.22	200.74
	(476.92)	(190.97)	(178.46)	(210.58)	(207.31)	(202.23)	(234.91)	(155.69)	(190.27)	(206.88)	(203.39)	(201.98)
1.1	10.50	20.57	29.19	26.30	27.23	32.15	17.22	26.94	31.92	29.19	31.26	37.26
	(13.08)	(19.29)	(22.15)	(23.56)	(24.97)	(30.03)	(18.04)	(20.31)	(26.90)	(26.96)	(29.34)	(35.19)
1.2	4.64	7.48	10.60	9.20	9.05	10.09	6.39	9.80	10.82	9.61	9.78	11.23
	(4.30)	(6.18)	(7.27)	(7.32)	(7.19)	(8.06)	(5.52)	(7.03)	(7.84)	(7.56)	(7.91)	(9.53)
1.3	3.06	4.33	5.93	5.11	4.92	5.30	3.87	5.53	5.85	5.27	5.17	5.68
	(2.44)	(3.17)	(3.79)	(4.05)	(3.72)	(3.81)	(2.95)	(3.71)	(3.88)	(3.94)	(3.80)	(4.26)
1.4	2.29	3.09	4.03	3.37	3.30	3.52	2.82	3.78	3.91	3.51	3.44	3.69
	(1.69)	(2.15)	(2.47)	(2.68)	(2.40)	(2.38)	(2.00)	(2.40)	(2.47)	(2.56)	(2.39)	(2.54)
1.5	1.88	2.44	3.03	2.47	2.44	2.61	2.22	2.91	2.94	2.59	2.57	2.72
	(1.34)	(1.65)	(1.81)	(1.89)	(1.69)	(1.66)	(1.55)	(1.82)	(1.78)	(1.84)	(1.71)	(1.74)
1.6	1.62	2.02	2.45	1.97	1.96	2.10	1.87	2.36	2.36	2.05	2.05	2.18
	(1.10)	(1.34)	(1.43)	(1.43)	(1.28)	(1.26)	(1.26)	(1.47)	(1.37)	(1.41)	(1.28)	(1.31)
1.7	1.44	1.73	2.06	1.65	1.66	1.79	1.62	2.00	1.98	1.72	1.73	1.83
	(0.92)	(1.13)	(1.20)	(1.10)	(1.00)	(1.00)	(1.07)	(1.24)	(1.14)	(1.11)	(1.01)	(1.04)
1.8	1.31	1.53	1.78	1.45	1.47	1.57	1.45	1.75	1.73	1.51	1.53	1.60
	(0.78)	(0.97)	(1.02)	(0.87)	(0.80)	(0.81)	(0.91)	(1.08)	(0.96)	(0.89)	(0.83)	(0.84)
1.9	1.23	1.40	1.59	1.31	1.34	1.42	1.33	1.56	1.53	1.37	1.38	1.45
	(0.66)	(0.84)	(0.89)	(0.70)	(0.66)	(0.68)	(0.78)	(0.94)	(0.81)	(0.72)	(0.68)	(0.71)
2	1.16	1.30	1.44	1.22	1.24	1.32	1.24	1.42	1.41	1.26	1.28	1.33
	(0.57)	(0.73)	(0.78)	(0.57)	(0.54)	(0.59)	(0.67)	(0.83)	(0.70)	(0.59)	(0.57)	(0.60)
	15.10	18.11	21.20	19.67	20.07	22.00	17.06	20.16	22.22	20.74	21.39	23.90
	1.00	1.20	1.40	1.30	1.33	1.46	1.00	1.18	1.30	1.22	1.25	1.40
	1.00	1.42	1.88	1.56	1.59	1.83	1.00	1.36	1.49	1.29	1.33	1.55