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Table 3 Thresholds by DESR to compare with rules of Gehan (r alt = 0.2, r nu l = 0.05, epd alt = 0.3, epd nul = 0.5, power = 0.8, alpha = 0.05)

From: A comparison of a new multinomial stopping rule with stopping rules of fleming and gehan in single arm phase II cancer clinical trials

Study Size

Stage 1 Drug Rejection

Stage 2 Drug Acceptance

Power

Alpha Error

ENnul/PESnul

ENalt/PESalt

n 1

n 2

n 1r

n 1p

n 1r+n 2r

n 1p+n 2p

    

14

1

≤1/14

≥6/14

≥2/17

≤5/17

0.811

0.075

14.1/0.91

14.8/0.17

14

3

≤1/14

≥6/14

≥3/17

≤7/17

0. 773

0.043

14.3/0.91

16.5/0.17

14

4

≤1/14

≥6/14

≥3/18

≤7/18

0.775

0.038

14.3/0.91

17.3/0.17

14

5

≤1/14

≥6/14

≥3/19

≤7/19

0.773

0.034

14.4/0.92

18.2/0.17

14

6

≤1/14

≥6/14

≥3/20

≤7/20

0.769

0.031

14.5/0.91

19.0/0.17

14

9

≤1/14

≥6/14

≥3/23

≤9/23

0.805

0.038

14.8/0.91

21.5/0.17

14

10

≤1/14

≥6/14

≥4/24

≤9/24

0.753

0.026

14.9/0.91

22.3/0.17

14

11

≤1/14

≥6/14

≥3/25

≤9/25

0.797

0.033

14.9/0.91

23.2/0.17

14

13

≤1/14

≥6/14

≥4/27

≤11/27

0.791

0.023

15.1/0.91

24.8/0.17

14

15

≤1/14

≥6/14

≥4/29

≤11/29

0.789

0.024

15.3/0.91

26.5/0.17

14

16

≤1/14

≥6/14

≥4/30

≤11/30

0.787

0.028

15.4/0.91

27.3/0.17

14

18

≤1/14

≥6/14

≥4/32

≤13/32

0.811

0.023

15.5/0.91

29.0/0.17

14

20

≤1/14

≥6/14

≥5/34

≤13/34

0.781

0.015

15.7/0.91

30.7/0.17

14

21

≤1/14

≥6/14

≥5/35

≤13/35

0.779

0.013

15.8/0.91

31.5/0.17

14

22

≤1/14

≥6/14

≥5/36

≤15/36

0.803

0.016

15.9/0.91

32.3/0.17

14

23

≤1/14

≥6/14

≥5/37

≤15/37

0.804

0.014

16.0/0.91

33.2/0.17

  1. ENnul = expected number of patients accrued if a drug meets the criteria of the null hypothesis
  2. ENalt = expected number of patients accrued if a drug meets the criteria of the alternate hypothesis
  3. PESnul = probability of stopping the trial after stage I if a drug meets the criteria of the null hypothesis
  4. PESalt = probability of stopping the trial after stage I if a drug meets the criteria of the alternate hypothesis