Table 2 Considered designs with information of used concentrations and corresponding weights
From: Designs for the simultaneous inference of concentration–response curves
Design | Notation | Concentrations and corresponding weights | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Original | \(\xi _{\text{orig}}\) | 0 | 25 | 150 | 350 | 450 | 550 | 800 | 1000 | |
\(\frac{2}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | |||
Equidistant | \(\xi _{\text{equi}}\) | 0 | 125 | 250 | 375 | 500 | 625 | 750 | 875 | 1000 |
\(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | ||
Log-equidistant | \(\xi _{\text{log}}\) | 0 | 1 | 3 | 7 | 19 | 52 | 139 | 373 | 1000 |
\(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | ||
K-means | \(\xi _{\text{kmeans}}\) | 0 | 89 | 209 | 326 | 428 | 536 | 652 | 798 | 1000 |
\(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | \(\frac{1}{9}\) | ||
Simultaneous D-optimal | \(\xi _{\Theta _7}\) | 0 | 145 | 280 | 345 | 457 | 575 | 656 | 781 | 1000 |
0.17 | 0.05 | 0.12 | 0.12 | 0.11 | 0.14 | 0.03 | 0.06 | 0.20 | ||