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Table 1 Dose escalation and de-escalation boundaries for Bernoulli and continuous toxicity endpoint, with ϕ0=0.2, ϕ0=0.3, εk=0.5, k=1,2 and N0=6

From: An adaptive gBOIN design with shrinkage boundaries for phase I dose-finding trials

End point

 

nj

3

6

9

12

15

18

21

24

27

30

Bernoulli

Ď•0=0.2

\(\lambda _{e}^{*}{(n_{j})}\)

0.16

0.16

0.16

0.17

0.17

0.17

0.17

0.17

0.17

0.17

or

 

\(\lambda _{d}^{*}{(n_{j})}\)

0.24

0.24

0.22

0.22

0.22

0.22

0.22

0.22

0.22

0.22

quasi-

Ď•0=0.3

\(\lambda _{e}^{*}{(n_{j})}\)

0.24

0.24

0.24

0.25

0.25

0.25

0.25

0.25

0.26

0.26

Bernoulli

 

\(\lambda _{d}^{*}{(n_{j})}\)

0.36

0.36

0.33

0.33

0.33

0.33

0.33

0.33

0.33

0.32

Continuous

Ď•0=0.2

\(\lambda _{e}^{*}{(n_{j})}\)

0.16

0.16

0.17

0.17

0.18

0.18

0.18

0.18

0.18

0.18

  

\(\lambda _{d}^{*}{(n_{j})}\)

0.24

0.24

0.22

0.21

0.21

0.21

0.21

0.21

0.21

0.21

 

Ď•0=0.3

\(\lambda _{e}^{*}{(n_{j})}\)

0.24

0.24

0.26

0.26

0.27

0.27

0.27

0.27

0.27

0.27

  

\(\lambda _{d}^{*}{(n_{j})}\)

0.36

0.36

0.32

0.32

0.32

0.32

0.32

0.32

0.32

0.32

  1. For the binary endpoint, c1= log(1.05) and c2= log(1.05)/3 for Ď•0=0.2, and c1= log(1.1) and c2= log(1.1)/3 for Ď•0=0.3. For the continuous end point, c1= log(1.1) and c2= log(1.1)/3 for both Ď•0=0.2 and Ď•0=0.3