Research Article
Triple Homogeneously Weighted Moving Average Charts for Monitoring Process Dispersion
Table 4
Performance measures for upper-sided
chart versus upper-sided competing charts when
= 10 for
.
| | | | | | | | | | | | | | | |
| | | 0.114 | 1.408 | 0.981 | 1.222 | 1.876 | 0.074 | 0.507 | 1.956 | 1.354 | 1.586 | 2.144 | 1 | 200.72 | 200.01 | 200.47 | 200.27 | 200.91 | 200.27 | 200.19 | 200.42 | 200.65 | 200.66 | 200.40 | 200.83 | (2599.42) | (1795.33) | (259.91) | (263.78) | (249.72) | (220.25) | (1822.90) | (714.75) | (202.76) | (229.83) | (222.08) | (208.28) | 1.1 | 2.76 | 3.00 | 12.02 | 13.21 | 12.97 | 15.50 | 2.85 | 4.62 | 17.54 | 16.08 | 16.07 | 18.49 | (3.84) | (4.26) | (13.11) | (16.28) | (14.93) | (15.13) | (4.01) | (6.63) | (15.08) | (16.36) | (15.99) | (16.95) | 1.2 | 1.78 | 1.87 | 4.85 | 4.86 | 4.77 | 5.81 | 1.83 | 2.46 | 6.95 | 6.15 | 5.96 | 6.91 | (1.67) | (1.77) | (4.42) | (5.89) | (5.18) | (5.08) | (1.71) | (2.44) | (5.53) | (6.27) | (5.59) | (5.65) | 1.3 | 1.43 | 1.49 | 3.03 | 2.75 | 2.75 | 3.40 | 1.45 | 1.81 | 4.11 | 3.41 | 3.41 | 3.92 | (1.06) | (1.13) | (2.42) | (3.07) | (2.67) | (2.72) | (1.08) | (1.48) | (3.01) | (3.41) | (3.07) | (2.98) | 1.4 | 1.26 | 1.29 | 2.27 | 1.91 | 1.95 | 2.39 | 1.28 | 1.50 | 2.91 | 2.31 | 2.33 | 2.71 | (0.78) | (0.82) | (1.67) | (1.83) | (1.66) | (1.72) | (0.80) | (1.08) | (2.01) | (2.15) | (1.92) | (1.90) | 1.5 | 1.16 | 1.19 | 1.85 | 1.52 | 1.57 | 1.88 | 1.17 | 1.32 | 2.28 | 1.77 | 1.80 | 2.09 | (0.60) | (0.64) | (1.31) | (1.21) | (1.15) | (1.21) | (0.62) | (0.84) | (1.53) | (1.47) | (1.32) | (1.36) | 1.6 | 1.10 | 1.12 | 1.58 | 1.31 | 1.36 | 1.58 | 1.11 | 1.21 | 1.90 | 1.48 | 1.52 | 1.74 | (0.47) | (0.50) | (1.06) | (0.86) | (0.81) | (0.91) | (0.48) | (0.66) | (1.24) | (1.06) | (0.97) | (1.03) | 1.7 | 1.06 | 1.08 | 1.41 | 1.20 | 1.23 | 1.41 | 1.07 | 1.14 | 1.64 | 1.30 | 1.34 | 1.51 | (0.37) | (0.41) | (0.87) | (0.64) | (0.61) | (0.72) | (0.39) | (0.54) | (1.04) | (0.77) | (0.74) | (0.81) | 1.8 | 1.05 | 1.05 | 1.29 | 1.13 | 1.15 | 1.28 | 1.05 | 1.10 | 1.47 | 1.20 | 1.24 | 1.37 | (0.31) | (0.33) | (0.73) | (0.47) | (0.47) | (0.58) | (0.32) | (0.45) | (0.88) | (0.60) | (0.59) | (0.66) | 1.9 | 1.03 | 1.04 | 1.21 | 1.09 | 1.10 | 1.21 | 1.03 | 1.07 | 1.35 | 1.14 | 1.16 | 1.27 | (0.25) | (0.27) | (0.61) | (0.37) | (0.37) | (0.49) | (0.25) | (0.36) | (0.76) | (0.46) | (0.47) | (0.55) | 2 | 1.02 | 1.02 | 1.15 | 1.06 | 1.07 | 1.15 | 1.02 | 1.05 | 1.24 | 1.10 | 1.11 | 1.20 | (0.21) | (0.22) | (0.52) | (0.30) | (0.31) | (0.40) | (0.22) | (0.30) | (0.64) | (0.38) | (0.38) | (0.46) | | 12.88 | 12.92 | 15.45 | 15.15 | 15.19 | 16.09 | 12.89 | 13.42 | 17.11 | 16.07 | 16.08 | 16.96 | | 1.00 | 1.00 | 1.20 | 1.18 | 1.18 | 1.25 | 1.00 | 1.04 | 1.33 | 1.25 | 1.25 | 1.32 | | 1.00 | 1.03 | 1.88 | 1.77 | 1.78 | 2.10 | 1.00 | 1.18 | 2.41 | 2.05 | 2.06 | 2.35 |
| | | | | | | | | | | | | | | | |
| | | 1.244 | 2.353 | 1.738 | 1.953 | 2.356 | 0.983 | 1.877 | 2.476 | 1.965 | 2.161 | 2.45 | 1 | 200.70 | 200.70 | 200.07 | 200.92 | 200.87 | 200.31 | 200.84 | 200.99 | 200.48 | 200.23 | 199.98 | 200.19 | (834.57) | (292.14) | (194.23) | (212.08) | (209.11) | (201.28) | (370.98) | (207.77) | (197.15) | (204.69) | (202.90) | (200.16) | 1.1 | 4.24 | 10.34 | 20.68 | 18.63 | 19.10 | 22.05 | 7.91 | 16.79 | 22.43 | 20.49 | 21.50 | 25.08 | (6.10) | (12.13) | (16.33) | (17.32) | (17.88) | (20.37) | (10.24) | (14.92) | (18.62) | (18.95) | (20.15) | (23.56) | 1.2 | 2.32 | 4.29 | 8.25 | 7.14 | 7.09 | 7.91 | 3.51 | 6.64 | 8.56 | 7.55 | 7.70 | 8.66 | (2.29) | (4.03) | (5.94) | (6.16) | (5.97) | (6.43) | (3.42) | (5.40) | (6.33) | (6.18) | (6.37) | (7.25) | 1.3 | 1.74 | 2.74 | 4.77 | 4.04 | 3.98 | 4.40 | 2.38 | 3.95 | 4.88 | 4.28 | 4.26 | 4.66 | (1.41) | (2.23) | (3.24) | (3.49) | (3.19) | (3.24) | (1.97) | (2.94) | (3.34) | (3.42) | (3.26) | (3.50) | 1.4 | 1.45 | 2.09 | 3.31 | 2.72 | 2.71 | 2.99 | 1.84 | 2.82 | 3.35 | 2.90 | 2.90 | 3.16 | (1.02) | (1.56) | (2.15) | (2.27) | (2.06) | (2.06) | (1.39) | (1.96) | (2.16) | (2.23) | (2.09) | (2.18) | 1.5 | 1.29 | 1.72 | 2.55 | 2.05 | 2.07 | 2.29 | 1.56 | 2.22 | 2.57 | 2.21 | 2.20 | 2.39 | (0.79) | (1.21) | (1.60) | (1.61) | (1.45) | (1.47) | (1.08) | (1.50) | (1.58) | (1.62) | (1.49) | (1.52) | 1.6 | 1.19 | 1.50 | 2.10 | 1.69 | 1.70 | 1.88 | 1.38 | 1.86 | 2.09 | 1.77 | 1.82 | 1.94 | (0.63) | (0.99) | (1.28) | (1.20) | (1.10) | (1.11) | (0.87) | (1.22) | (1.24) | (1.20) | (1.14) | (1.15) | 1.7 | 1.13 | 1.35 | 1.79 | 1.44 | 1.48 | 1.62 | 1.26 | 1.61 | 1.77 | 1.53 | 1.56 | 1.67 | (0.51) | (0.82) | (1.07) | (0.91) | (0.85) | (0.88) | (0.71) | (1.02) | (1.02) | (0.94) | (0.88) | (0.92) | 1.8 | 1.09 | 1.25 | 1.57 | 1.30 | 1.34 | 1.44 | 1.18 | 1.44 | 1.57 | 1.37 | 1.40 | 1.48 | (0.42) | (0.68) | (0.90) | (0.71) | (0.69) | (0.72) | (0.60) | (0.86) | (0.86) | (0.76) | (0.72) | (0.75) | 1.9 | 1.06 | 1.17 | 1.43 | 1.21 | 1.24 | 1.33 | 1.13 | 1.32 | 1.41 | 1.26 | 1.28 | 1.35 | (0.35) | (0.57) | (0.78) | (0.57) | (0.55) | (0.60) | (0.49) | (0.74) | (0.72) | (0.61) | (0.59) | (0.63) | 2 | 1.04 | 1.12 | 1.31 | 1.15 | 1.17 | 1.24 | 1.09 | 1.24 | 1.31 | 1.18 | 1.21 | 1.26 | (0.29) | (0.48) | (0.66) | (0.46) | (0.45) | (0.51) | (0.41) | (0.63) | (0.62) | (0.49) | (0.50) | (0.53) | | 13.33 | 14.99 | 18.06 | 16.94 | 17.02 | 17.81 | 14.34 | 16.89 | 18.36 | 17.40 | 17.57 | 18.43 | | 1.00 | 1.12 | 1.36 | 1.27 | 1.28 | 1.34 | 1.00 | 1.18 | 1.28 | 1.21 | 1.22 | 1.29 | | 1.00 | 1.44 | 2.27 | 1.93 | 1.95 | 2.17 | 1.00 | 1.47 | 1.74 | 1.53 | 1.56 | 1.71 |
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