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. 2023 Oct 24;13:18137. doi: 10.1038/s41598-023-45399-3

Table 4.

Comparative analysis of control charts based on run length profile.

δ ARL SDRL P5th P10th P25th P50th P75th P90th P95th
0.25 EWMA 4.98 1.20 3 4 4 5 6 7 7
AEWMA-I 3.98 1.15 2 2 3 4 5 5 6
0.50 EWMA 12.37 6.41 5 6 8 11 15 21 25
AEWMA-I 9.33 4.69 4 4 6 8 12 16 18
0.75 EWMA 67.14 59.83 10 14 25 49 90 144 186
AEWMA-I 34.43 21.57 6 9 18 31 47 64 75
0.80 EWMA 108.66 101.03 12 18 37 78 149 240 310
AEWMA-I 48.14 30.73 8 12 25 44 66 90 105
0.85 EWMA 180.11 172.48 16 26 57 127 248 405 525
AEWMA-I 71.97 48.03 10 18 37 64 97 136 163
0.92 EWMA 351.54 347.76 23 42 104 245 483 802 1051
AEWMA-I 151.91 121.29 15 31 66 122 205 311 390
0.95 EWMA 407.42 399.80 26 48 122 285 562 933 1206
AEWMA-I 237.34 213.39 18 38 88 177 322 515 658
0.97 EWMA 420.31 414.69 27 49 124 292 581 962 1251
AEWMA-I 317.89 302.00 19 43 106 228 434 709 921
1.00 EWMA 369.81 361.77 24 45 112 260 510 845 1094
AEWMA-I 370.25 352.14 21 48 121 265 510 829 1073
1.03 EWMA 289.22 283.24 21 37 89 202 396 656 855
AEWMA-I 273.53 246.38 19 42 100 205 373 592 759
1.05 EWMA 236.42 231.21 18 31 72 165 325 538 701
AEWMA-I 207.36 177.60 17 36 82 160 281 438 558
1.08 EWMA 170.77 162.78 15 24 54 120 236 387 496
AEWMA-I 140.57 111.18 14 28 61 115 190 284 358
1.10 EWMA 139.25 133.78 13 21 44 98 191 313 407
AEWMA-I 112.37 85.06 12 24 51 94 153 223 276
1.15 EWMA 86.90 80.42 10 15 30 62 118 192 246
AEWMA-I 72.92 52.63 9 16 34 62 99 143 173
1.30 EWMA 32.59 27.00 6 8 14 25 43 67 86
AEWMA-I 30.44 21.22 5 8 14 26 42 60 71
1.75 EWMA 9.36 5.77 3 4 5 8 12 17 21
AEWMA-I 9.04 5.80 3 3 5 8 12 17 21
3.50 EWMA 3.09 1.29 2 2 2 3 4 5 6
AEWMA-I 2.81 1.25 2 2 2 2 3 5 5

Significant values are in bold.