Table 5:
Coverage probabilities for confidence regions for the difference between means of two populations. Probabilities for Case 1 are probabilities of true coverage. Those for Cases 2 and 3 are probabilities of false coverage.
| n | m | Case 1 |
Case 2 |
Case 3 |
|||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
T2 |
W2 |
T2 |
W2 |
T2 |
W2 |
||||||||
| Fro | Can | Fro | Can | Fro | Can | Fro | Can | Fro | Can | Fro | Can | ||
| 6 | 24 | N/A | N/A | 0.918 | 0.926 | N/A | N/A | 0.890 | 0.900 | N/A | N/A | 0.566 | 0.580 |
| 6 | 96 | N/A | N/A | 0.890 | 0.894 | N/A | N/A | 0.782 | 0.780 | N/A | N/A | 0.012 | 0.012 |
| 6 | 192 | N/A | N/A | 0.924 | 0.924 | N/A | N/A | 0.676 | 0.684 | N/A | N/A | 0.000 | 0.000 |
| 18 | 24 | 0.962 | 0.964 | 0.930 | 0.928 | 0.932 | 0.918 | 0.860 | 0.862 | 0.146 | 0.140 | 0.070 | 0.000 |
| 18 | 96 | 0.974 | 0.976 | 0.958 | 0.950 | 0.772 | 0.770 | 0.584 | 0.592 | 0.000 | 0.000 | 0.000 | 0.000 |
| 18 | 192 | 0.962 | 0.960 | 0.920 | 0.908 | 0.434 | 0.438 | 0.246 | 0.248 | 0.000 | 0.000 | 0.000 | 0.000 |
| 36 | 24 | 0.952 | 0.960 | 0.940 | 0.942 | 0.834 | 0.834 | 0.788 | 0.808 | 0.000 | 0.000 | 0.000 | 0.000 |
| 36 | 96 | 0.958 | 0.952 | 0.932 | 0.926 | 0.350 | 0.348 | 0.278 | 0.296 | 0.000 | 0.000 | 0.000 | 0.000 |
| 36 | 192 | 0.942 | 0.948 | 0.950 | 0.944 | 0.048 | 0.046 | 0.030 | 0.032 | 0.000 | 0.000 | 0.000 | 0.000 |