Table 8. The RL profile of the MA sign, EWMA sign, CUSUM sign, mixed EWMA-CUSUM, and the EWMA-MA sign control charts for n = 10 at ARL0≅370.
| p 1 | MA arcsine with w = 5 | EWMA sign with λ = 0.05 | CUSUM sign with K = 0.50 and H = 10.60 |
Mixed EWMA-CUSUM sign with k = 0.50 and h = 44.95 | EWMA-MA sign with η = 0.05, w = 5 |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ARL | SDRL | MRL | ARL | SDRL | MRL | ARL | SDRL | MRL | ARL | SDRL | MRL | ARL | SDRL | MRL | |
| 0.05 | 1.4 | 0.5 | 1 | 3.4 | 0.5 | 3 | 3.2 | 0.4 | 3 | 10.0 | 0.4 | 10 | 1.1 | 0.3 | 1 |
| 0.10 | 1.8 | 0.7 | 2 | 3.9 | 0.5 | 4 | 3.6 | 0.6 | 4 | 10.8 | 0.7 | 11 | 1.3 | 0.7 | 1 |
| 0.15 | 2.2 | 0.9 | 2 | 4.4 | 0.8 | 4 | 4.1 | 0.8 | 4 | 11.9 | 0.9 | 12 | 1.8 | 1.1 | 1 |
| 0.20 | 2.9 | 1.4 | 3 | 5.2 | 1.1 | 5 | 4.9 | 1.1 | 5 | 13.2 | 1.3 | 13 | 2.5 | 1.7 | 2 |
| 0.25 | 4.0 | 2.4 | 3 | 6.3 | 1.6 | 6 | 6.0 | 1.6 | 6 | 15.1 | 1.7 | 15 | 3.7 | 2.4 | 3 |
| 0.30 | 6.6 | 4.8 | 5 | 8.1 | 2.4 | 8 | 7.9 | 2.6 | 7 | 17.7 | 2.5 | 17 | 5.4 | 3.3 | 5 |
| 0.35 | 13.2 | 11.4 | 10 | 11.4 | 4.3 | 11 | 11.4 | 4.7 | 10 | 22.0 | 4.0 | 21 | 8.5 | 5.1 | 8 |
| 0.40 | 34.4 | 32.6 | 24 | 19.2 | 9.6 | 17 | 20.2 | 11.3 | 18 | 30.2 | 7.6 | 29 | 15.6 | 10.2 | 14 |
| 0.45 | 124.1 | 120.1 | 87 | 51.7 | 37.0 | 42 | 63.9 | 52.1 | 48 | 57.2 | 26.0 | 51 | 46.8 | 37.8 | 37 |
| 0.46 | 169.0 | 168.0 | 117 | 71.8 | 56.8 | 56 | 93.1 | 79.7 | 70 | 72.4 | 38.2 | 63 | 65.7 | 58.0 | 50 |
| 0.47 | 225.8 | 227.7 | 155 | 107.8 | 92.2 | 80 | 136.5 | 122.8 | 99 | 98.4 | 62.5 | 81 | 98.3 | 84.0 | 68 |
| 0.50 | 371.2 | 372.0 | 258 | 372.0 | 359.9 | 259 | 370.7 | 357.8 | 261 | 369.9 | 323.3 | 275 | 371.7 | 365.3 | 258 |
| 0.53 | 224.4 | 222.0 | 156 | 106.7 | 89.7 | 80 | 137.8 | 125.0 | 99 | 99.3 | 62.2 | 82 | 97.1 | 87.8 | 71 |
| 0.54 | 170.7 | 169.8 | 119 | 71.9 | 56.1 | 56 | 90.6 | 78.3 | 67 | 72.1 | 38.1 | 62 | 65.1 | 56.9 | 53 |
| 0.55 | 126.5 | 124.0 | 89 | 51.8 | 37.6 | 42 | 62.9 | 51.9 | 47 | 57.1 | 25.8 | 51 | 46.2 | 38.0 | 37 |
| 0.60 | 34.5 | 32.7 | 24 | 19.0 | 9.3 | 17 | 20.3 | 11.3 | 18 | 30.3 | 7.6 | 29 | 15.8 | 10.5 | 14 |
| 0.65 | 13.0 | 11.2 | 10 | 11.4 | 4.2 | 11 | 11.4 | 4.7 | 10 | 22.0 | 4.0 | 21 | 8.5 | 5.2 | 8 |
| 0.70 | 6.6 | 4.8 | 5 | 8.1 | 2.4 | 8 | 7.9 | 2.6 | 8 | 17.7 | 2.5 | 17 | 5.4 | 3.3 | 5 |
| 0.75 | 4.1 | 2.5 | 3 | 6.3 | 1.6 | 6 | 6.0 | 1.6 | 6 | 15.1 | 1.7 | 15 | 3.7 | 2.4 | 3 |
| 0.80 | 2.9 | 1.4 | 3 | 5.2 | 1.1 | 5 | 4.9 | 1.1 | 5 | 13.2 | 1.3 | 13 | 2.5 | 1.7 | 2 |
| 0.85 | 2.2 | 0.9 | 2 | 4.4 | 0.8 | 4 | 4.2 | 0.8 | 4 | 11.9 | 0.9 | 12 | 1.8 | 1.1 | 1 |
| 0.90 | 1.8 | 0.7 | 2 | 3.9 | 0.5 | 4 | 3.6 | 0.6 | 4 | 10.8 | 0.7 | 11 | 1.3 | 0.6 | 1 |
| 0.95 | 1.4 | 0.5 | 1 | 3.5 | 0.5 | 3 | 3.2 | 0.4 | 3 | 10.0 | 0.4 | 10 | 1.1 | 0.3 | 1 |