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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.