Skip to main content
. 2014 Jul 29;14:95. doi: 10.1186/1471-2288-14-95

Table 2.

Comparisons of BHT-A and Simon optimal two-stage designs

  P ( H 0 ) P ( H 1 ) P ( H 2 ) P ( H 3 )
PH2⋆
 SS SS 1 SS 2 % incon
 
  
  
  
  
 0.1 & 0.1
  
  
  
  
BHT-A
 0.978
 0.014
 0.003
 0.000
 0.003
 34.5
 17.1
 17.4
 0.005
Simon I
 0.954
 0.022
 0.001
 0.000
 0.001
 47.1
 23.6
 23.5
 0.022
Simon II
 0.954
 0.022
 0.001
 0.000
 0.001
 47.1
 23.6
 23.5
 0.022
Simon III
 0.954
 0.022
 0.001
 0.000
 0.001
 47.1
 23.6
 23.5
 0.022
 
  
  
  
  
 0.2 & 0.2
  
  
  
  
BHT-A
 0.408
 0.142
 0.408
 0.003
 0.411
 68.6
 33.3
 35.3
 0.039
Simon I
 0.261
 0.250
 0.203
 0.040
 0.243
 73.2
 36.7
 36.5
 0.246
Simon II
 0.261
 0.250
 0.174
 0.069
 0.243
 73.2
 36.7
 36.5
 0.246
Simon III
 0.261
 0.250
 0.221
 0.022
 0.243
 73.2
 36.7
 36.5
 0.246
 
  
  
  
  
 0.1 & 0.2
  
  
  
  
BHT-A
 0.623
 0.343
 0.027
 0.000
 0.027
 53.6
 23.6
 30.0
 0.007
Simon I
 0.515
 0.457
 0.008
 0.004
 0.012
 60.0
 23.7
 36.3
 0.016
Simon II
 0.515
 0.457
 0.008
 0.004
 0.012
 60.0
 23.7
 36.3
 0.016
Simon III
 0.515
 0.457
 0.011
 0.001
 0.012
 60.0
 23.7
 36.3
 0.016
 
  
  
  
  
 0.3 & 0.3
  
  
  
  
BHT-A
 0.039
 0.056
 0.773
 0.132
 0.905
 86.7
 42.8
 43.9
 0.000
Simon I
 0.008
 0.094
 0.574
 0.220
 0.794
 85.5
 42.9
 42.6
 0.104
Simon II
 0.008
 0.094
 0.506
 0.288
 0.794
 85.5
 42.9
 42.6
 0.104
Simon III
 0.008
 0.094
 0.632
 0.162
 0.794
 85.5
 42.9
 42.6
 0.104
 
  
  
  
  
 0.4 & 0.4
  
  
  
  
BHT-A
 0.002
 0.008
 0.706
 0.284
 0.990
 89.7
 44.7
 44.9
 0.000
Simon I
 0.000
 0.014
 0.675
 0.300
 0.976
 89.3
 44.6
 44.7
 0.010
Simon II
 0.000
 0.014
 0.588
 0.387
 0.976
 89.3
 44.6
 44.7
 0.010
Simon III
 0.000
 0.014
 0.748
 0.227
 0.976
 89.3
 44.6
 44.7
 0.010
 
  
  
  
  
 0.5 & 0.5
  
  
  
  
BHT-A
 0.000
 0.001
 0.659
 0.340
 0.999
 90.0
 45.0
 45.0
 0.000
Simon I
 0.000
 0.001
 0.691
 0.305
 0.996
 89.9
 45.0
 44.9
 0.003
Simon II
 0.000
 0.001
 0.626
 0.370
 0.996
 89.9
 45.0
 44.9
 0.003
Simon III
 0.000
 0.001
 0.762
 0.234
 0.996
 89.9
 45.0
 44.9
 0.003
 
  
  
  
  
 0.1 & 0.3
  
  
  
  
BHT-A
 0.150
 0.811
 0.030
 0.006
 0.036
 64.9
 23.9
 41.0
 0.003
Simon I
 0.104
 0.872
 0.006
 0.016
 0.022
 66.4
 23.6
 42.8
 0.002
Simon II
 0.104
 0.872
 0.002
 0.020
 0.022
 66.4
 23.6
 42.8
 0.002
Simon III
 0.104
 0.872
 0.007
 0.015
 0.022
 66.4
 23.6
 42.8
 0.002
 
  
  
  
  
 0.1 & 0.4
  
  
  
  
BHT-A
 0.021
 0.949
 0.007
 0.023
 0.030
 65.2
 20.9
 44.4
 0.000
Simon I
 0.013
 0.957
 0.001
 0.028
 0.029
 68.5
 23.9
 44.6
 0.001
Simon II
 0.013
 0.957
 0.000
 0.028
 0.029
 68.5
 23.9
 44.6
 0.001
Simon III
 0.013
 0.957
 0.002
 0.027
 0.029
 68.5
 23.9
 44.6
 0.001
 
  
  
  
  
 0.3 & 0.4
  
  
  
  
BHT-A
 0.006
 0.097
 0.358
 0.539
 0.897
 87.5
 42.7
 44.8
 0.000
Simon I
 0.000
 0.100
 0.336
 0.556
 0.892
 87.7
 42.9
 44.8
 0.008
Simon II
 0.000
 0.100
 0.261
 0.631
 0.892
 87.7
 42.9
 44.8
 0.008
Simon III
 0.000
 0.100
 0.412
 0.480
 0.892
 87.7
 42.9
 44.8
 0.008
 
  
  
  
  
 0.3 & 0.5
  
  
  
  
BHT-A
 0.000
 0.116
 0.071
 0.813
 0.884
 87.3
 42.3
 45.0
 0.000
Simon I
 0.000
 0.104
 0.075
 0.820
 0.896
 87.9
 43.0
 45.0
 0.001
Simon II
 0.000
 0.104
 0.050
 0.846
 0.896
 87.9
 43.0
 45.0
 0.001
Simon III
 0.000
 0.104
 0.122
 0.774
 0.896
 87.9
 43.0
 45.0
 0.001
 
  
  
  
  
 0.4 & 0.5
  
  
  
  
BHT-A
 0.000
 0.010
 0.289
 0.701
 0.990
 89.7
 44.7
 45.0
 0.000
Simon I
 0.000
 0.014
 0.353
 0.632
 0.984
 89.6
 44.6
 45.0
 0.000
Simon II
 0.000
 0.014
 0.280
 0.705
 0.984
 89.6
 44.6
 45.0
 0.000
Simon III
 0.000
 0.014
 0.424
 0.560
 0.984
 89.6
 44.6
 45.0
 0.000
 
  
  
  
  
 0.4 & 0.6
  
  
  
  
BHT-A
 0.000
 0.021
 0.051
 0.928
 0.979
 89.4
 44.4
 45.0
 0.000
Simon I
 0.000
 0.016
 0.074
 0.910
 0.984
 89.6
 44.6
 45.0
 0.000
Simon II
 0.000
 0.016
 0.051
 0.934
 0.984
 89.6
 44.6
 45.0
 0.000
Simon III 0.000 0.016 0.116 0.868 0.984 89.6 44.6 45.0 0.000

Note: A tuning parameter δ= 0.05, 0.03, or 0.07 was used in the Simon I, II, or III design, respectively.