Triple Homogeneously Weighted Moving Average Charts for Monitoring Process Dispersion

Table 3

Performance measures for two-sided chart versus two-sided competing charts when  = 5 for .

		1.259	2.124	1.517	1.71	2.281	1.189	1.468	2.517	1.792	1.997	2.482
0.5	1.70	1.81	3.25	2.02	2.12	2.89	1.72	2.13	3.87	2.50	2.60	3.30
	(1.08)	(1.14)	(1.42)	(1.33)	(1.20)	(1.34)	(1.09)	(1.26)	(1.45)	(1.55)	(1.37)	(1.47)
0.55	2.01	2.15	3.86	2.57	2.65	3.54	2.03	2.52	4.64	3.18	3.25	4.08
	(1.30)	(1.36)	(1.75)	(1.86)	(1.63)	(1.75)	(1.31)	(1.49)	(1.88)	(2.08)	(1.83)	(1.94)
0.6	2.41	2.57	4.65	3.33	3.38	4.43	2.44	3.03	5.66	4.12	4.11	5.10
	(1.60)	(1.67)	(2.26)	(2.58)	(2.26)	(2.37)	(1.61)	(1.83)	(2.52)	(2.81)	(2.47)	(2.62)
0.65	2.89	3.10	5.75	4.48	4.42	5.65	2.93	3.66	7.15	5.47	5.35	6.55
	(2.01)	(2.11)	(3.06)	(3.65)	(3.14)	(3.25)	(2.03)	(2.34)	(3.49)	(3.80)	(3.37)	(3.66)
0.7	3.54	3.83	7.45	6.22	5.97	7.51	3.59	4.59	9.35	7.35	7.15	8.77
	(2.64)	(2.80)	(4.40)	(5.23)	(4.48)	(4.64)	(2.66)	(3.18)	(4.95)	(5.25)	(4.71)	(5.32)
0.75	4.43	4.84	10.12	8.79	8.41	10.35	4.50	5.93	12.85	10.27	9.95	12.27
	(3.67)	(3.95)	(6.53)	(7.56)	(6.62)	(6.85)	(3.71)	(4.60)	(7.32)	(7.39)	(6.85)	(8.15)
0.8	5.82	6.45	14.84	13.18	12.52	15.35	5.93	8.17	18.70	14.93	14.84	18.67
	(5.58)	(6.07)	(10.35)	(11.56)	(10.30)	(10.98)	(5.68)	(7.25)	(11.33)	(11.07)	(10.92)	(13.70)
0.85	8.01	9.20	23.76	20.89	20.40	24.96	8.20	12.42	29.37	23.57	24.29	31.10
	(9.10)	(10.25)	(17.80)	(18.86)	(17.60)	(19.71)	(9.32)	(12.92)	(19.27)	(18.87)	(19.59)	(25.79)
0.9	12.54	15.15	43.33	37.74	37.80	46.97	12.98	22.40	52.39	43.72	46.36	60.44
	(18.33)	(21.31)	(35.28)	(36.69)	(36.38)	(41.96)	(18.86)	(27.72)	(37.60)	(39.8)	(42.77)	(55.86)
0.95	24.53	32.59	101.29	89.86	93.25	113.52	26.02	54.87	115.48	104.79	113.31	135.50
	(53.57)	(66.55)	(90.22)	(102.33)	(104.06)	(114.85)	(56.35)	(87.61)	(90.85)	(110.27)	(117.54)	(135.10)
1	200.67	200.88	200.79	200.87	200.39	200.41	200.96	200.12	200.59	200.81	200.58	200.40
	(2129.33)	(956.93)	(173.26)	(259.41)	(242.68)	(215.69)	(1747.29)	(416.68)	(156.97)	(226.81)	(219.5)	(203.54)
1.1	10.35	12.64	41.29	36.45	36.50	41.63	10.87	20.07	48.12	41.54	42.74	48.19
	(17.15)	(20.64)	(38.11)	(40.12)	(39.56)	(40.49)	(18.14)	(29.45)	(37.83)	(41.70)	(42.71)	(46.41)
1.2	5.36	6.16	15.55	14.41	13.57	15.17	5.51	8.13	19.11	16.05	15.72	17.20
	(6.30)	(7.27)	(13.74)	(15.41)	(13.79)	(13.46)	(6.61)	(9.27)	(14.35)	(14.86)	(14.33)	(14.9)
1.3	3.78	4.13	8.64	8.07	7.49	8.33	3.82	5.06	10.63	9.18	8.64	9.33
	(3.74)	(4.05)	(7.25)	(8.68)	(7.53)	(7.08)	(3.74)	(4.88)	(7.85)	(8.49)	(7.65)	(7.62)
1.4	2.96	3.18	5.87	5.24	4.97	5.51	2.99	3.73	7.12	6.07	5.73	6.11
	(2.61)	(2.78)	(4.65)	(5.62)	(4.90)	(4.54)	(2.63)	(3.24)	(5.10)	(5.71)	(5.07)	(4.77)
1.5	2.48	2.62	4.42	3.80	3.63	4.06	2.49	3.02	5.28	4.42	4.19	4.49
	(2.05)	(2.15)	(3.33)	(4.02)	(3.47)	(3.21)	(2.04)	(2.46)	(3.72)	(4.21)	(3.64)	(3.42)
1.6	2.15	2.27	3.57	3.00	2.87	3.25	2.17	2.56	4.20	3.42	3.28	3.54
	(1.67)	(1.78)	(2.58)	(3.06)	(2.60)	(2.47)	(1.69)	(1.99)	(2.87)	(3.20)	(2.77)	(2.62)
1.7	1.92	2.02	3.03	2.45	2.37	2.68	1.95	2.25	3.51	2.79	2.72	2.93
	(1.45)	(1.53)	(2.14)	(2.41)	(2.04)	(1.96)	(1.46)	(1.69)	(2.35)	(2.57)	(2.23)	(2.08)
1.8	1.75	1.83	2.63	2.10	2.06	2.33	1.76	2.02	3.01	2.37	2.30	2.51
	(1.28)	(1.34)	(1.83)	(1.94)	(1.68)	(1.63)	(1.28)	(1.49)	(1.99)	(2.11)	(1.82)	(1.72)
1.9	1.62	1.68	2.35	1.85	1.83	2.05	1.65	1.84	2.66	2.07	2.05	2.21
	(1.14)	(1.20)	(1.62)	(1.61)	(1.41)	(1.36)	(1.16)	(1.32)	(1.75)	(1.76)	(1.56)	(1.47)
2	1.53	1.58	2.14	1.66	1.65	1.86	1.53	1.69	2.37	1.86	1.82	1.99
	(1.04)	(1.10)	(1.47)	(1.34)	(1.18)	(1.18)	(1.05)	(1.19)	(1.54)	(1.51)	(1.31)	(1.27)
	15.91	16.72	25.49	23.55	23.33	25.53	16.07	18.93	28.29	25.50	25.69	28.03
	1.00	1.05	1.60	1.48	1.47	1.60	1.00	1.18	1.76	1.59	1.60	1.74
	1.00	1.09	2.18	1.87	1.82	2.13	1.00	1.32	2.55	2.09	2.08	2.39
		1.996	2.737	2.106	2.295	2.647	1.795	2.465	2.785	2.299	2.473	2.719
0.5	2.05	3.02	4.06	3.03	3.09	3.74	2.67	3.81	4.10	3.30	3.37	4.13
	(1.24)	(1.41)	(1.51)	(1.63)	(1.46)	(1.68)	(1.38)	(1.44)	(1.69)	(1.58)	(1.51)	(2.01)
0.55	2.44	3.58	4.95	3.82	3.84	4.68	3.17	4.54	5.10	4.10	4.20	5.30
	(1.47)	(1.71)	(2.04)	(2.11)	(1.91)	(2.30)	(1.64)	(1.86)	(2.35)	(2.04)	(2.02)	(2.93)
0.6	2.92	4.31	6.17	4.84	4.83	5.97	3.79	5.53	6.53	5.14	5.30	7.01
	(1.80)	(2.18)	(2.81)	(2.76)	(2.57)	(3.25)	(2.05)	(2.49)	(3.36)	(2.69)	(2.81)	(4.36)
0.65	3.52	5.31	7.89	6.24	6.21	7.89	4.66	6.97	8.58	6.62	6.94	9.67
	(2.28)	(2.93)	(3.93)	(3.65)	(3.54)	(4.78)	(2.72)	(3.44)	(4.85)	(3.69)	(4.09)	(6.80)
0.7	4.36	6.82	10.49	8.29	8.37	10.96	5.89	9.11	11.77	8.90	9.61	14.12
	(3.05)	(4.15)	(5.69)	(5.05)	(5.17)	(7.47)	(3.76)	(4.90)	(7.33)	(5.51)	(6.40)	(11.03)
0.75	5.69	9.22	14.61	11.49	11.86	16.21	7.89	12.51	17.02	12.69	14.22	21.92
	(4.48)	(6.17)	(8.58)	(7.49)	(8.09)	(12.28)	(5.64)	(7.23)	(11.63)	(8.86)	(10.67)	(18.6)
0.8	7.75	13.46	21.55	17.08	18.25	26.06	11.32	18.24	26.20	19.86	22.94	35.75
	(6.95)	(9.94)	(13.86)	(12.27)	(13.93)	(21.91)	(9.06)	(11.21)	(19.68)	(15.63)	(19.15)	(32.70)
0.85	11.51	21.66	34.58	28.39	31.30	45.32	18.24	28.66	43.38	34.47	40.39	61.44
	(12.20)	(17.29)	(24.66)	(23.44)	(27.00)	(41.42)	(16.14)	(18.96)	(35.40)	(30.54)	(36.93)	(58.96)
0.9	20.48	39.98	63.29	55.43	62.00	86.30	33.84	51.18	80.62	67.99	78.99	109.85
	(26.48)	(34.87)	(50.21)	(51.89)	(58.91)	(83.27)	(33.55)	(36.90)	(71.35)	(65.24)	(76.63)	(107.33)
0.95	49.82	95.40	135.56	127.89	138.04	163.75	83.81	113.63	158.03	145.46	157.30	183.22
	(85.20)	(91.88)	(118.23)	(130.45)	(139.35)	(161.68)	(94.32)	(89.22)	(149.11)	(145.37)	(156.33)	(181.47)
1	200.82	200.98	200.12	200.88	200.53	200.66	200.25	200.97	200.32	200.36	200.87	200.82
	(473.58)	(191.48)	(179.54)	(208.51)	(205.27)	(200.48)	(234.46)	(156.84)	(191.42)	(203.00)	(201.71)	(200.94)
1.1	18.03	38.19	50.92	48.52	50.75	58.06	31.80	47.69	55.37	54.28	57.82	64.63
	(27.45)	(37.77)	(41.57)	(47.42)	(49.96)	(56.31)	(36.52)	(37.65)	(49.02)	(53.53)	(56.78)	(63.17)
1.2	7.60	14.22	19.70	17.76	17.94	19.99	11.81	18.67	20.42	19.24	19.90	22.62
	(8.78)	(13.33)	(14.67)	(15.54)	(15.90)	(17.85)	(12.07)	(14.44)	(16.31)	(17.13)	(18.03)	(20.96)
1.3	4.81	7.90	11.15	9.85	9.63	10.41	6.74	10.48	11.09	10.31	10.25	11.33
	(4.69)	(6.91)	(7.91)	(8.18)	(8.03)	(8.65)	(6.14)	(7.86)	(8.26)	(8.51)	(8.58)	(9.71)
1.4	3.62	5.42	7.46	6.59	6.32	6.69	4.75	6.98	7.34	6.78	6.68	7.09
	(3.16)	(4.38)	(5.11)	(5.43)	(5.12)	(5.23)	(3.98)	(5.09)	(5.24)	(5.33)	(5.28)	(5.67)
1.5	2.90	4.12	5.51	4.83	4.65	4.87	3.70	5.15	5.36	4.98	4.83	5.08
	(2.36)	(3.15)	(3.70)	(4.01)	(3.66)	(3.65)	(2.91)	(3.64)	(3.68)	(3.88)	(3.67)	(3.86)
1.6	2.50	3.37	4.36	3.80	3.63	3.79	3.03	4.13	4.25	3.89	3.78	3.93
	(1.96)	(2.48)	(2.89)	(3.16)	(2.80)	(2.75)	(2.29)	(2.84)	(2.84)	(3.02)	(2.83)	(2.86)
1.7	2.20	2.87	3.61	3.07	2.99	3.10	2.64	3.43	3.49	3.17	3.10	3.23
	(1.66)	(2.07)	(2.33)	(2.54)	(2.27)	(2.17)	(1.94)	(2.32)	(2.29)	(2.43)	(2.25)	(2.28)
1.8	1.96	2.51	3.09	2.62	2.56	2.67	2.31	2.96	2.99	2.70	2.64	2.73
	(1.44)	(1.77)	(1.99)	(2.14)	(1.90)	(1.82)	(1.66)	(1.98)	(1.94)	(2.03)	(1.87)	(1.86)
1.9	1.79	2.24	2.70	2.26	2.22	2.34	2.08	2.63	2.61	2.35	2.32	2.39
	(1.29)	(1.57)	(1.70)	(1.79)	(1.60)	(1.52)	(1.48)	(1.73)	(1.66)	(1.75)	(1.59)	(1.57)
2	1.67	2.04	2.41	2.02	1.99	2.08	1.92	2.36	2.33	2.09	2.07	2.14
	(1.18)	(1.41)	(1.51)	(1.55)	(1.38)	(1.31)	(1.34)	(1.55)	(1.45)	(1.51)	(1.38)	(1.34)
	18.39	24.41	29.92	27.92	28.53	31.71	22.44	27.99	31.75	29.80	30.99	34.79
	1.00	1.33	1.63	1.52	1.55	1.72	1.00	1.25	1.41	1.33	1.38	1.55
	1.00	1.54	2.11	1.82	1.84	2.14	1.00	1.41	1.62	1.42	1.47	1.76