Skip to main content
. 2014 Apr 14;14:51. doi: 10.1186/1471-2288-14-51

Table 3.

Results using the Braun and Gumbel copulas for data simulation under Scenario 2

Data ψ k Model     Dose    
 
  
  
 Futility
 1
 2
 3
 4
Braun
 0.5
 Braun
 0.147
 0.748
 0.094
 0.011
 0
 
  
  
  
 33.159
 5.922
 0.798
 0.042
 
  
 Gumbel
 0.13
 0.732
 0.121
 0.016
 0.001
 
  
  
  
 32.652
 6.984
 1.161
 0.084
 
  
 Indep
 0.129
 0.770
 0.093
 0.008
 0
 
  
  
  
 34.542
 5.826
 0.825
 0.063
 
 0.7
 Braun
 0.16
 0.744
 0.091
 0.005
 0
 
  
  
  
 32.919
 6.315
 0.645
 0.039
 
  
 Gumbel
 0.106
 0.761
 0.117
 0.016
 0
 
  
  
  
 34.059
 6.762
 0.81
 0.09
 
  
 Indep
 0.098
 0.781
 0.109
 0.012
 0
 
  
  
  
 34.671
 6.516
 0.705
 0.09
 
 0.9
 Braun
 0.204
 0.707
 0.086
 0.003
 0
 
  
  
  
 31.878
 6.18
 0.396
 0.018
 
  
 Gumbel
 0.071
 0.799
 0.114
 0.015
 0.001
 
  
  
  
 34.977
 7.2
 0.63
 0.063
 
  
 Indep
 0.095
 0.773
 0.122
 0.009
 0.001
 
  
  
  
 34.329
 6.789
 0.795
 0.078
Gumbel
 0
 Braun
 0.14
 0.722
 0.126
 0.012
 0
 
  
  
  
 32.889
 6.69
 0.756
 0.051
 
  
 Gumbel
 0.124
 0.745
 0.122
 0.008
 0.001
 
  
  
  
 33.714
 6.564
 0.786
 0.069
 
  
 Indep
 0.13
 0.751
 0.111
 0.007
 0.001
 
  
  
  
 33.585
 6.465
 0.738
 0.099
 
 0.4
 Braun
 0.159
 0.741
 0.09
 0.009
 0.001
 
  
  
  
 33.39
 5.886
 0.96
 0.066
 
  
 Gumbel
 0.127
 0.755
 0.1
 0.016
 0.002
 
  
  
  
 33.882
 6.234
 1.02
 0.09
 
  
 Indep
 0.118
 0.758
 0.113
 0.011
 0
 
  
  
  
 33.36
 7.059
 0.927
 0.036
 
 0.8
 Braun
 0.16
 0.742
 0.094
 0.004
 0
 
  
  
  
 32.991
 6.048
 0.534
 0.06
 
  
 Gumbel
 0.081
 0.799
 0.104
 0.014
 0.002
 
  
  
  
 35.247
 6.657
 0.84
 0.048
 
  
 Indep
 0.113
 0.76
 0.118
 0.009
 0
        34.068 6.528 0.801 0.081

The first row is the selection probability for dose z; and the second is the average number of patients treated at dose z. YT and YS are simulated with association, ψk; k=1,2 when appropriate. The operating characteristics for the target dose are in bold.