Table I.
Data generating dose–response shapes as functions of d and values of μjcomputed for scenarios with seven doses.
| Model | Specification of μ(d) | ||||||
|---|---|---|---|---|---|---|---|
| Constant | 0.2 | ||||||
| Emax | 0.2+0.7d/(0.2+d) | ||||||
| Linear in log-dose | 0.2+0.6log(5d+1)/log(6) | ||||||
| Linear | 0.2+0.6d | ||||||
| Exponential | 0.183+0.017exp[2d log(6)] | ||||||
| Logistic | 0.193+0.607/{1+exp[10log(3)(0.4−d)]} | ||||||
| Step 1 | 0.2+0.6(d−0.6)/(1−0.6)I (0.6<d≤1) | ||||||
| Step 2 | 0.2+0.6(d−0.2)/(0.6−0.2)I (0.2<d<0.6)+0.6I (0.6≤d) | ||||||
| Step 3 | 0.2+0.6(d−0.05)/(0.2−0.05)I (0.05<d<0.2)+0.6I(0.6≤d) | ||||||
| μj for a 7-dose scenario | |||||||
| Model | μ1 | μ2 | μ3 | μ4 | μ5 | μ6 | μ7 |
| Constant | 0.20 | 0.20 | 0.20 | 0.20 | 0.20 | 0.20 | 0.20 |
| Emax | 0.20 | 0.34 | 0.55 | 0.67 | 0.72 | 0.76 | 0.78 |
| Linear in log-dose | 0.20 | 0.27 | 0.43 | 0.57 | 0.66 | 0.74 | 0.80 |
| Linear | 0.20 | 0.23 | 0.32 | 0.44 | 0.56 | 0.68 | 0.80 |
| Exponential | 0.20 | 0.20 | 0.22 | 0.25 | 0.33 | 0.48 | 0.80 |
| Logistic | 0.20 | 0.21 | 0.25 | 0.50 | 0.74 | 0.79 | 0.80 |
| Step 1 | 0.20 | 0.20 | 0.20 | 0.20 | 0.20 | 0.50 | 0.80 |
| Step 2 | 0.20 | 0.20 | 0.20 | 0.50 | 0.80 | 0.80 | 0.80 |
| Step 3 | 0.20 | 0.20 | 0.80 | 0.80 | 0.80 | 0.80 | 0.80 |
The values μj closest to the first target are in bold, and those closest to the second are in bold and italic. The values μ4 at dose 0.4 and μ6 at dose 0.8 that were added to a 5-dose scenario to make a 7-dose scenario are underlined.