Table 3.
Proportion of times each dose is recommended as the target dose and the average number of subjects allocated to each dose for the new design with Δ = 1 (ND) and the design of Bekele and Thall (BTD). Subjects are assigned in cohorts of 4. The total sample size is 36. Results for BTD are reproduced from Bekele and Thall (2004). Results at the target dose are in bold.
| d1 | d2 | d3 | d4 | d5 | d6 | d7 | d8 | d9 | d10 | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Scenario 1 | |||||||||||
| ND | Proportion recommended | 0.00 | 0.86 | 0.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 1.2 | 17.3 | 12.5 | 5.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
| BTD | Proportion recommended | 0.01 | 0.94 | 0.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 2.2 | 21.8 | 5.3 | 5.6 | 1.1 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
| Scenario 2 | |||||||||||
| ND | Proportion recommended | 0.04 | 0.95 | 0.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 5.7 | 18.0 | 8.0 | 4.3 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
| BTD | Proportion recommended | 0.04 | 0.92 | 0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 4.5 | 22.0 | 4.5 | 4.6 | 0.4 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
| Scenario 3 | |||||||||||
| ND | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.00 | 0.85 | 0.15 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 8.2 | 20.6 | 6.8 | 0.4 | 0.0 | 0.0 | 0.0 | |
| BTD | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.06 | 0.85 | 0.09 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 5.6 | 18.5 | 9.7 | 2.1 | 0.1 | 0.0 | 0.0 | |
| Scenario 4 | |||||||||||
| ND | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.03 | 0.94 | 0.03 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.1 | 11.3 | 20.6 | 4.0 | 0.0 | 0.0 | 0.0 | 0.0 | |
| BTD | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.05 | 0.87 | 0.08 | 0.00 | 0.00 | 0.00 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.1 | 6.6 | 20.6 | 7.7 | 1.0 | 0.0 | 0.0 | 0.0 | |
| Scenario 5 | |||||||||||
| ND | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.07 | 0.85 | 0.06 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 4.3 | 4.4 | 4.7 | 7.9 | 11.8 | 2.8 | 0.1 | |
| BTD | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.10 | 0.81 | 0.09 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 4.1 | 4.1 | 4.1 | 5.7 | 11.4 | 5.6 | 1.0 | |
| Scenario 6 | |||||||||||
| ND | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.01 | 0.06 | 0.90 | 0.03 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 4.1 | 4.1 | 4.4 | 7.9 | 12.9 | 2.6 | 0.0 | |
| BTD | Proportion recommended | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 | 0.80 | 0.06 | 0.00 |
| Allocation | 0.0 | 0.0 | 0.0 | 4.0 | 4.0 | 4.1 | 5.7 | 11.7 | 5.8 | 0.7 | |