Table 2.
Simulation 1: power and type I error are reported for two sample test at 5 different qs at significance level α = 5% when σ2 = 3.
| Power | Type I error | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| q | 50 | 100 | 200 | 400 | 800 | 50 | 100 | 200 | 400 | 800 |
| case 1 | ||||||||||
| SPReM | 0.990 | 0.910 | 0.825 | 0.795 | 0.680 | 0.030 | 0.065 | 0.045 | 0.035 | 0.080 |
| RP | 1.000 | 1.000 | 0.175 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| HTS | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| case 2 | ||||||||||
| SPReM | 0.840 | 0.825 | 0.775 | 0.645 | 0.580 | 0.045 | 0.030 | 0.030 | 0.060 | 0.030 |
| RP | 1.000 | 1.000 | 0.180 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| HTS | 0.105 | 0.015 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| case 3 | ||||||||||
| SPReM | 0.780 | 0.755 | 0.590 | 0.465 | 0.525 | 0.050 | 0.055 | 0.050 | 0.040 | 0.075 |
| RP | 1.000 | 0.260 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| HTS | 0.095 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |