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Table 1 The doses assigned on the four design levels using the k-adjustment factor and the dose m i at level i

From: The development of response surface pathway design to reduce animal numbers in toxicity studies

Design level I (3 animals) Design level 2 (5 animals) Design level 3 (7 animals) Design level 4 (9 animals)
Outcome Dose (m2) Outcome Dose (m3) Outcome Dose (m4) Outcome
0 m + m/k 0 m2 + m/k2 0 m3 + m/k3 0
1 m + m/k2 1 m2 + m/k3 1 m3 + m/k4 1
2 m - m/k2 2 m2 + m/k4 2 m3 + m/k5 2
3 m - m/k 3 m2 - m/k4 3 m3 + m/k6 3
   4 m2 - m/k3 4 m3 - m/k6 4
   5 m2 - m/k2 5 m3 - m/k5 5
     6 m3 - m/k4 6
     7 m3 - m/k3 7
       8
       9
  1. The dose m = m1 is the starting dose. The number of mice used on the design levels was 3, 5, 7 and 9, respectively.