Research Article
Triple Homogeneously Weighted Moving Average Charts for Monitoring Process Dispersion
Table 6
Performance measures for upper-sided
chart versus upper-sided competing charts when
ā=ā15 for
.
| ā | | | | | | | | | | | | | | |
| | | 0.109 | 1.409 | 0.984 | 1.222 | 1.876 | 0.059 | 0.506 | 1.956 | 1.355 | 1.585 | 2.142 | 1 | 200.67 | 199.83 | 199.92 | 200.76 | 200.94 | 200.93 | 200.97 | 200.27 | 200.56 | 200.16 | 200.67 | 200.87 | (2484.88) | (1819.65) | (257.18) | (263.01) | (251.74) | (220.27) | (1885.58) | (724.21) | (201.78) | (227.90) | (221.81) | (207.76) | 1.1 | 2.31 | 2.49 | 8.78 | 9.44 | 9.23 | 11.22 | 2.38 | 3.63 | 12.99 | 11.74 | 11.55 | 13.45 | (2.78) | (3.02) | (9.01) | (11.53) | (10.4) | (10.44) | (2.88) | (4.48) | (10.79) | (11.77) | (11.10) | (11.78) | 1.2 | 1.51 | 1.59 | 3.62 | 3.38 | 3.38 | 4.21 | 1.57 | 2.01 | 5.06 | 4.30 | 4.23 | 4.96 | (1.21) | (1.29) | (3.00) | (3.92) | (3.43) | (3.44) | (1.28) | (1.75) | (3.77) | (4.34) | (3.83) | (3.81) | 1.3 | 1.25 | 1.28 | 2.34 | 1.96 | 1.99 | 2.49 | 1.27 | 1.50 | 3.05 | 2.39 | 2.42 | 2.86 | (0.76) | (0.81) | (1.73) | (1.89) | (1.69) | (1.79) | (0.80) | (1.07) | (2.07) | (2.22) | (1.98) | (2.00) | 1.4 | 1.13 | 1.15 | 1.77 | 1.44 | 1.49 | 1.81 | 1.14 | 1.27 | 2.21 | 1.69 | 1.72 | 2.02 | (0.53) | (0.56) | (1.21) | (1.08) | (1.00) | (1.12) | (0.55) | (0.76) | (1.45) | (1.33) | (1.21) | (1.26) | 1.5 | 1.07 | 1.08 | 1.46 | 1.22 | 1.26 | 1.47 | 1.07 | 1.15 | 1.75 | 1.35 | 1.40 | 1.62 | (0.37) | (0.40) | (0.93) | (0.68) | (0.65) | (0.78) | (0.39) | (0.55) | (1.11) | (0.85) | (0.81) | (0.89) | 1.6 | 1.04 | 1.04 | 1.27 | 1.12 | 1.14 | 1.29 | 1.04 | 1.08 | 1.48 | 1.20 | 1.23 | 1.38 | (0.27) | (0.30) | (0.71) | (0.45) | (0.45) | (0.58) | (0.28) | (0.41) | (0.88) | (0.58) | (0.57) | (0.66) | 1.7 | 1.02 | 1.02 | 1.17 | 1.07 | 1.08 | 1.18 | 1.02 | 1.05 | 1.30 | 1.11 | 1.13 | 1.24 | (0.20) | (0.22) | (0.56) | (0.32) | (0.32) | (0.44) | (0.21) | (0.31) | (0.70) | (0.41) | (0.41) | (0.51) | 1.8 | 1.01 | 1.01 | 1.10 | 1.04 | 1.05 | 1.12 | 1.01 | 1.03 | 1.19 | 1.06 | 1.08 | 1.15 | (0.15) | (0.17) | (0.43) | (0.22) | (0.24) | (0.35) | (0.15) | (0.22) | (0.56) | (0.29) | (0.32) | (0.40) | 1.9 | 1.01 | 1.01 | 1.06 | 1.02 | 1.03 | 1.07 | 1.01 | 1.02 | 1.12 | 1.04 | 1.05 | 1.10 | (0.12) | (0.12) | (0.33) | (0.16) | (0.18) | (0.27) | (0.12) | (0.18) | (0.44) | (0.22) | (0.24) | (0.32) | 2 | 1.00 | 1.01 | 1.04 | 1.01 | 1.02 | 1.05 | 1.00 | 1.01 | 1.07 | 1.02 | 1.03 | 1.06 | (0.08) | (0.10) | (0.26) | (0.12) | (0.14) | (0.21) | (0.09) | (0.13) | (0.34) | (0.16) | (0.18) | (0.25) | | 12.66 | 12.66 | 14.26 | 14.06 | 14.08 | 14.75 | 12.69 | 12.99 | 15.43 | 14.64 | 14.68 | 15.32 | | 1.00 | 1.00 | 1.13 | 1.11 | 1.11 | 1.17 | 1.00 | 1.02 | 1.22 | 1.15 | 1.16 | 1.21 | | 1.00 | 1.02 | 1.65 | 1.55 | 1.55 | 1.82 | 1.00 | 1.13 | 2.07 | 1.76 | 1.77 | 2.01 |
| ā | | | ā | | | | | | | | | | | | |
| | | 1.242 | 2.353 | 1.738 | 1.95 | 2.354 | 0.979 | 1.877 | 2.475 | 1.964 | 2.161 | 2.449 | 1 | 200.27 | 200.96 | 200.15 | 200.18 | 200.64 | 200.50 | 200.70 | 200.83 | 199.94 | 200.15 | 200.75 | 200.27 | (842.05) | (292.73) | (193.32) | (211.04) | (207.26) | (202.05) | (371.32) | (206.84) | (195.79) | (206.02) | (204.47) | (200.54) | 1.1 | 3.36 | 7.56 | 15.48 | 13.59 | 13.77 | 15.99 | 5.87 | 12.39 | 16.63 | 14.79 | 15.44 | 18.24 | (4.13) | (8.20) | (11.77) | (12.10) | (12.38) | (14.21) | (6.83) | (10.59) | (13.25) | (13.13) | (13.87) | (16.81) | 1.2 | 1.92 | 3.23 | 6.00 | 5.07 | 5.02 | 5.64 | 2.71 | 4.85 | 6.20 | 5.37 | 5.44 | 6.09 | (1.67) | (2.74) | (4.08) | (4.33) | (4.03) | (4.24) | (2.36) | (3.70) | (4.30) | (4.26) | (4.21) | (4.70) | 1.3 | 1.46 | 2.16 | 3.51 | 2.84 | 2.85 | 3.17 | 1.88 | 2.94 | 3.57 | 3.03 | 3.07 | 3.38 | (1.02) | (1.62) | (2.23) | (2.36) | (2.14) | (2.17) | (1.41) | (2.02) | (2.28) | (2.32) | (2.19) | (2.32) | 1.4 | 1.24 | 1.66 | 2.49 | 1.95 | 1.98 | 2.22 | 1.49 | 2.15 | 2.49 | 2.11 | 2.14 | 2.31 | (0.72) | (1.14) | (1.51) | (1.48) | (1.35) | (1.37) | (1.01) | (1.42) | (1.49) | (1.49) | (1.40) | (1.44) | 1.5 | 1.13 | 1.39 | 1.93 | 1.53 | 1.58 | 1.73 | 1.29 | 1.70 | 1.91 | 1.62 | 1.66 | 1.79 | (0.52) | (0.86) | (1.14) | (0.99) | (0.94) | (0.97) | (0.75) | (1.09) | (1.10) | (1.02) | (0.96) | (1.01) | 1.6 | 1.07 | 1.23 | 1.59 | 1.30 | 1.34 | 1.46 | 1.17 | 1.45 | 1.59 | 1.37 | 1.41 | 1.50 | (0.38) | (0.66) | (0.91) | (0.69) | (0.67) | (0.72) | (0.57) | (0.87) | (0.86) | (0.74) | (0.71) | (0.75) | 1.7 | 1.04 | 1.14 | 1.38 | 1.18 | 1.20 | 1.30 | 1.10 | 1.28 | 1.38 | 1.22 | 1.25 | 1.32 | (0.29) | (0.51) | (0.73) | (0.51) | (0.50) | (0.57) | (0.44) | (0.68) | (0.68) | (0.54) | (0.54) | (0.58) | 1.8 | 1.02 | 1.08 | 1.25 | 1.11 | 1.13 | 1.19 | 1.06 | 1.18 | 1.24 | 1.14 | 1.16 | 1.21 | (0.22) | (0.39) | (0.59) | (0.37) | (0.38) | (0.45) | (0.33) | (0.54) | (0.54) | (0.41) | (0.42) | (0.47) | 1.9 | 1.01 | 1.05 | 1.16 | 1.06 | 1.08 | 1.13 | 1.03 | 1.11 | 1.16 | 1.09 | 1.10 | 1.14 | (0.17) | (0.30) | (0.46) | (0.28) | (0.30) | (0.35) | (0.25) | (0.43) | (0.43) | (0.31) | (0.33) | (0.38) | 2 | 1.01 | 1.03 | 1.10 | 1.04 | 1.05 | 1.08 | 1.02 | 1.07 | 1.10 | 1.06 | 1.06 | 1.09 | (0.12) | (0.23) | (0.36) | (0.21) | (0.23) | (0.29) | (0.19) | (0.34) | (0.34) | (0.25) | (0.26) | (0.30) | | 12.91 | 14.01 | 16.11 | 15.21 | 15.30 | 15.89 | 13.57 | 15.28 | 16.27 | 15.54 | 15.71 | 16.31 | | 1.00 | 1.09 | 1.25 | 1.18 | 1.19 | 1.23 | 1.00 | 1.13 | 1.20 | 1.14 | 1.16 | 1.20 | | 1.00 | 1.33 | 2.01 | 1.71 | 1.73 | 1.91 | 1.00 | 1.38 | 1.61 | 1.42 | 1.45 | 1.59 |
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