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Table 4 Comparison with Simon’s optimal design and Zee’s multinomial design

From: Mixed response and time-to-event endpoints for multistage single-arm phase II design

P0

T0

P1

T1

ρ a

n1

n

Typeb

PET

α

1-β

EN0

0.05

3

0.2

4.5

0.2

21

41

Proposed design

0.855

0.055

0.903

23.900

Simon

0.720

0.046

0.902

26.700

Multinomial

0.770

0.072

0.934

24.600

0.1

3

0.3

5

0.5

10

29

Proposed design

0.788

0.052

0.792

14.028

Simon

0.740

0.047

0.805

15.000

Multinomial

0.655

0.039

0.792

16.900

0.2

4

0.4

8

0.5

13

43

Proposed design

0.874

0.053

0.811

16.780

Simon

0.750

0.049

0.800

20.600

Multinomial

0.723

0.049

0.866

21.300

0.3

4

0.5

8

0.5

15

46

Proposed design

0.880

0.042

0.808

18.720

Simon

0.720

0.049

0.803

23.600

Multinomial

0.763

0.062

0.848

22.100

  1. aCorrelation parameter is set to approximate Zee’s mulatinomial design
  2. bSample size in multinomial design is slightly different (Zee et al., 1999)
  3. cPET and EN0 are obtained from Table III in Whitehead (2014)