Table 1 Description of 24 simulation experiments where the response variable is distributed according a beta distribution with the following mean and dispersion parameters in each respective group (or alternatively parameterized in terms of its two shape parameters – p and q – in each group)
μ0 | φ 0 | μ1 | φ 1 | p0 | q0 | p1 | q1 | |
|---|---|---|---|---|---|---|---|---|
Type-1 error experiments | 0.50 | 5 | 0.50 | 5 | 2.5 | 2.5 | 2.5 | 2.5 |
0.50 | 5 | 0.50 | 10 | 2.5 | 2.5 | 5 | 5 | |
0.50 | 100 | 0.50 | 100 | 50 | 50 | 50 | 50 | |
0.50 | 100 | 0.50 | 200 | 50 | 50 | 100 | 100 | |
0.25 | 5 | 0.25 | 5 | 1.25 | 3.75 | 1.25 | 3.75 | |
0.25 | 5 | 0.25 | 10 | 1.25 | 3.75 | 2.50 | 7.50 | |
0.25 | 100 | 0.25 | 100 | 25 | 75 | 25 | 75 | |
0.25 | 100 | 0.25 | 200 | 25 | 75 | 50 | 150 | |
0.05 | 5 | 0.05 | 5 | 0.25 | 4.75 | 0.25 | 4.75 | |
0.05 | 5 | 0.05 | 10 | 0.25 | 4.75 | 0.50 | 9.50 | |
0.05 | 100 | 0.05 | 100 | 5 | 95 | 5 | 95 | |
0.05 | 100 | 0.05 | 200 | 5 | 95 | 10 | 190 | |
Power experiments | 0.5 | 5 | 0.525 | 5 | 2.5 | 2.5 | 2.625 | 2.375 |
0.5 | 5 | 0.525 | 10 | 2.5 | 2.5 | 5.25 | 4.75 | |
0.5 | 100 | 0.525 | 100 | 50 | 50 | 52.5 | 47.5 | |
0.5 | 100 | 0.525 | 200 | 50 | 50 | 105 | 95 | |
0.25 | 5 | 0.275 | 5 | 1.25 | 3.75 | 1.375 | 3.625 | |
0.25 | 5 | 0.275 | 10 | 1.25 | 3.75 | 2.75 | 7.25 | |
0.25 | 100 | 0.275 | 100 | 25 | 75 | 27.5 | 62.5 | |
0.25 | 100 | 0.275 | 200 | 25 | 75 | 55 | 145 | |
0.05 | 5 | 0.075 | 5 | 0.25 | 4.75 | 0.375 | 4.625 | |
0.05 | 5 | 0.075 | 10 | 0.25 | 4.75 | 0.75 | 9.25 | |
0.05 | 100 | 0.075 | 100 | 5 | 95 | 7.5 | 92.5 | |
0.05 | 100 | 0.075 | 200 | 5 | 95 | 15 | 185 |