Table 7. ARL performance of MA-EWMA chart for Normal(0,1) distribution by varying λ and given ARL0 = 370 and w = 5.
| Shift size (δ) |
λ = 0.05 | λ = 0.10 | λ = 0.25 | λ = 0.50 | λ = 0.75 |
|---|---|---|---|---|---|
| H3 = 18.020 | H3 = 12.575 | H3 = 7.267 | H3 = 4.997 | H3 = 3.725 | |
| -4.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 |
| -3.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 |
| -2.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 |
| -1.50 | 1.51±0.01 | 1.51±0.01 | 1.51±0.01 | 1.51±0.01 | 1.51±0.01 |
| -1.00 | 5.83±0.02 | 5.83±0.02 | 5.83±0.02 | 5.83±0.02 | 5.83±0.02 |
| -0.75 | 13.54±0.04 | 13.53±0.04 | 13.52±0.04 | 13.53±0.04 | 13.54±0.04 |
| -0.50 | 37.25±0.11 | 37.20±0.11 | 37.18±0.11 | 37.21±0.11 | 37.24±0.11 |
| -0.25 | 124.93±0.35 | 124.71±0.35 | 124.59±0.35 | 124.76±0.35 | 124.88±0.35 |
| -0.10 | 243.70±0.68 | 243.70±0.68 | 243.70±0.68 | 243.70±0.68 | 243.70±0.68 |
| -0.05 | 277.22±0.77 | 277.22±0.77 | 277.22±0.77 | 277.22±0.77 | 277.22±0.77 |
| 0.00 | 370.95±0.83 | 370.37±0.83 | 370.05±0.83 | 370.47±0.83 | 370.81±0.83 |
| 0.05 | 276.83±0.77 | 276.83±0.77 | 276.83±0.77 | 276.83±0.77 | 276.83±0.77 |
| 0.10 | 242.74±0.68 | 242.74±0.68 | 242.74±0.68 | 242.74±0.68 | 242.74±0.68 |
| 0.25 | 124.69±0.35 | 124.48±0.35 | 124.39±0.35 | 124.51±0.35 | 124.62±0.35 |
| 0.50 | 37.27±0.11 | 37.22±0.11 | 37.20±0.11 | 37.23±0.11 | 37.26±0.11 |
| 0.75 | 13.54±0.04 | 13.53±0.04 | 13.52±0.04 | 13.53±0.04 | 13.54±0.04 |
| 1.00 | 5.87±0.02 | 5.87±0.02 | 5.87±0.02 | 5.87±0.02 | 5.87±0.02 |
| 1.50 | 1.53±0.01 | 1.53±0.01 | 1.53±0.01 | 1.53±0.01 | 1.53±0.01 |
| 2.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 | 0.47±0.00 |
| 3.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 | 0.05±0.00 |
| 4.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 | 0.00±0.00 |
after the mark (±) is standard deviation of ARL