Table III.
Admissible pairings for a Shuster-type trial; p0 = 0.2, p1 = 0.4, α = 0.1, β = 0.2 with quantities of interest evaluated assuming a U(p0,p1) distribution
| Design (n1, l1, u1, n2, u2) | ESS | Estimator | | Bias | | MSE |
|---|---|---|---|---|
| (15, 3, 6, 27, 9) | 19.6 | BC-MLE | 3.75E − 03 | 1.26E − 02 |
| (15, 3, 6, 27, 9) | 19.6 | UMVUE | 0 | 1.34E − 02 |
| (17, 4, 7, 25, 8) | 19.7 | MUE | 3.03E − 03 | 1.14E − 02 |
| (17, 4, 7, 25, 8) | 19.7 | UMVUE | 0 | 1.19E − 02 |
| (19, 5, 7, 28, 9) | 20.5 | BC-MLE | 1.43E − 03 | 1.06E − 02 |
| (19, 5, 7, 28, 9) | 20.5 | MUE | 3.55E − 03 | 1.04E − 02 |
| (19, 5, 7, 28, 9) | 20.5 | UMVUE | 0 | 1.09E − 02 |
| (20, 5, 7, 26, 9) | 21.0 | BC-MLE | 1.02E − 03 | 1.02E − 02 |
| (20, 5, 7, 26, 9) | 21.0 | MUE | 3.36E − 03 | 9.95E − 03 |
| (20, 5, 7, 26, 9) | 21.0 | UMVUE | 0 | 1.03E − 02 |
| (22, 5, 8, 24, 8) | 22.6 | UMVUE | 0 | 9.30E − 03 |
| (20, 4, 20, 24, 8) | 22.9 | MUE | 3.83E − 04 | 8.95E − 03 |
| (22, 5, 22, 24, 8) | 23.3 | MUE | 1.52E − 03 | 8.65E − 03 |
| (22, 5, 22, 24, 8) | 23.3 | UMVUE | 0 | 8.91E − 03 |
| (20, 0, 14, 24, 8) | 24.0 | BC-MLE | 2.46E − 04 | 8.54E − 03 |
| (20, 0, 15, 24, 8) | 24.0 | BC-MLE | 1.80E − 04 | 8.56E − 03 |
| (22, 0, 16, 24, 8) | 24.0 | BC-MLE | 9.04E − 05 | 8.58E − 03 |
| (22, 0, 22, 24, 8) | 24.0 | MUE | 2.67E − 03 | 8.37E − 03 |
| (22, 0, 22, 24, 8) | 24.0 | UMVUE | 0 | 8.61E − 03 |