Table 6 Comparative analysis based on run length profile for p = 5.
From: Adaptive multivariate dispersion control chart with application to bimetal thermostat data
δ |  | ARL | SDRL | P5th | P10th | P25th | P50th | P75th | P90th | P95th |
---|---|---|---|---|---|---|---|---|---|---|
0.25 | EWMA | 2.70 | 0.51 | 2 | 2 | 2 | 3 | 3 | 3 | 3 |
AEWMA-I | 2.04 | 0.21 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | |
0.50 | EWMA | 5.11 | 1.64 | 3 | 3 | 4 | 5 | 6 | 7 | 8 |
AEWMA-I | 3.81 | 1.56 | 2 | 2 | 2 | 4 | 5 | 6 | 6 | |
0.75 | EWMA | 19.91 | 14.14 | 5 | 7 | 10 | 16 | 26 | 38 | 48 |
AEWMA-I | 13.50 | 8.92 | 2 | 4 | 7 | 11 | 18 | 26 | 31 | |
0.80 | EWMA | 32.99 | 26.53 | 7 | 9 | 14 | 25 | 44 | 68 | 87 |
AEWMA-I | 20.05 | 13.80 | 3 | 5 | 9 | 17 | 28 | 39 | 46 | |
0.85 | EWMA | 62.20 | 56.07 | 9 | 12 | 22 | 45 | 84 | 135 | 174 |
AEWMA-I | 32.09 | 22.47 | 4 | 7 | 14 | 28 | 45 | 63 | 74 | |
0.92 | EWMA | 182.72 | 176.31 | 15 | 24 | 57 | 129 | 252 | 413 | 536 |
AEWMA-I | 76.24 | 57.90 | 6 | 13 | 34 | 65 | 105 | 152 | 186 | |
0.95 | EWMA | 293.04 | 289.29 | 19 | 35 | 87 | 204 | 407 | 671 | 870 |
AEWMA-I | 134.43 | 114.47 | 8 | 19 | 52 | 106 | 184 | 285 | 360 | |
0.97 | EWMA | 362.89 | 359.34 | 23 | 42 | 106 | 250 | 504 | 830 | 1082 |
AEWMA-I | 219.94 | 206.33 | 10 | 27 | 75 | 162 | 302 | 487 | 625 | |
1.00 | EWMA | 369.30 | 363.54 | 24 | 44 | 110 | 258 | 511 | 838 | 1090 |
AEWMA-I | 370.21 | 363.32 | 14 | 40 | 112 | 261 | 514 | 843 | 1084 | |
1.03 | EWMA | 258.03 | 250.42 | 20 | 33 | 79 | 180 | 356 | 588 | 756 |
AEWMA-I | 222.06 | 187.51 | 15 | 38 | 90 | 174 | 303 | 466 | 589 | |
1.05 | EWMA | 186.20 | 179.75 | 17 | 27 | 59 | 131 | 254 | 418 | 545 |
AEWMA-I | 147.86 | 112.34 | 14 | 30 | 67 | 123 | 201 | 296 | 364 | |
1.08 | EWMA | 115.32 | 108.31 | 13 | 19 | 39 | 82 | 157 | 254 | 331 |
AEWMA-I | 90.42 | 62.92 | 12 | 21 | 45 | 78 | 122 | 173 | 209 | |
1.10 | EWMA | 85.47 | 77.86 | 11 | 16 | 30 | 62 | 115 | 188 | 243 |
AEWMA-I | 69.65 | 46.95 | 10 | 17 | 35 | 61 | 94 | 132 | 159 | |
15 | EWMA | 46.73 | 39.49 | 8 | 11 | 19 | 35 | 62 | 97 | 126 |
AEWMA-I | 42.16 | 27.39 | 8 | 11 | 21 | 37 | 57 | 79 | 94 | |
1.30 | EWMA | 16.04 | 10.69 | 5 | 6 | 9 | 13 | 21 | 30 | 37 |
AEWMA-I | 16.06 | 10.03 | 4 | 6 | 9 | 14 | 21 | 30 | 36 | |
1.75 | EWMA | 5.25 | 2.34 | 2 | 3 | 4 | 5 | 6 | 8 | 10 |
AEWMA-I | 5.03 | 2.43 | 2 | 2 | 3 | 5 | 6 | 8 | 10 | |
3.50 | EWMA | 2.21 | 0.47 | 2 | 2 | 2 | 2 | 2 | 3 | 3 |
AEWMA-I | 2.10 | 0.36 | 2 | 2 | 2 | 2 | 2 | 2 | 3 |