Journal of Probability and Statistics / 2012 / Article / Tab 1 / Research Article
Number of Patients per Cohort and Sample Size Considerations Using Dose Escalation with Overdose Control Table 1 Estimated proportions of patients given doses in an
-neighborhood of the true MTD under designs
1
and
3
and differences between these proportions for small values of
and selected values of
.
Sample size 12 18 24 30
1
3
Diff.
1
3
Diff.
1
3
Diff.
1
3
Diff.
=
0.9768
0.9829
−0.0061
0.9826
0.9854
−0.0028
0.9864
0.9890
−0.0026
0.9897
0.9910
−0.0013
0.9065
0.9352
−0.0287
0.9290
0.9465
−0.0175
0.9433
0.9598
−0.0165
0.9542
0.9661
−0.0119
0.7525
0.7004
0.0521
0.7958
0.7440
0.0518
0.8261
0.7897
0.0364
0.8569
0.8210
0.0359
0.3634
0.2521
0.1114
0.4306
0.3309
0.0997
0.4747
0.3997
0.0750
0.5265
0.4444
0.0821
=
0.9340
0.9603
−0.0262
0.9430
0.9492
−0.0062
0.9517
0.9571
−0.0054
0.9592
0.9629
−0.0037
0.8153
0.8839
−0.0687
0.8378
0.8760
−0.0382
0.8610
0.8896
−0.0287
0.8784
0.8958
−0.0174
0.6297
0.6729
−0.0431
0.6507
0.6643
−0.0136
0.6831
0.6924
−0.0092
0.7032
0.7105
−0.0074
0.2752
0.2298
0.0454
0.3142
0.2659
0.0483
0.3478
0.3152
0.0327
0.3713
0.3477
0.0236
=
0.8658
0.9351
−0.0693
0.8659
0.9032
−0.0373
0.8772
0.8926
−0.0155
0.8838
0.8984
−0.0146
0.7122
0.8463
−0.1341
0.7190
0.8036
−0.0846
0.7359
0.7900
−0.0541
0.7438
0.7931
−0.0493
0.5256
0.6533
−0.1277
0.5219
0.6063
−0.0845
0.5390
0.5865
−0.0475
0.5448
0.5915
−0.0467
0.2154
0.2102
0.0052
0.2279
0.2276
0.0003
0.2549
0.2371
0.0178
0.2626
0.2604
0.0022
=
0.7855
0.7121
0.0734
0.8272
0.7762
0.0510
0.8542
0.8180
0.0362
0.8784
0.8504
0.0280
0.6939
0.5833
0.1106
0.7269
0.6541
0.0728
0.7477
0.6968
0.0509
0.7825
0.7376
0.0449
0.4885
0.5258
−0.0373
0.5267
0.5478
−0.0211
0.5474
0.5647
−0.0173
0.5874
0.5906
−0.0032
0.2773
0.1144
0.1629
0.2956
0.1759
0.1197
0.3050
0.2165
0.0885
0.3282
0.2506
0.0776
=
0.7038
0.6680
0.0358
0.7433
0.7201
0.0231
0.7587
0.7541
0.0046
0.7748
0.7814
−0.0066
0.6031
0.5135
0.0897
0.6247
0.5757
0.0490
0.6348
0.6103
0.0246
0.6489
0.6417
0.0072
0.4129
0.4371
−0.0242
0.4348
0.4531
−0.0184
0.4458
0.4722
−0.0264
0.4580
0.4903
−0.0323
0.2332
0.1125
0.1207
0.2388
0.1648
0.0740
0.2416
0.1835
0.0581
0.2489
0.2100
0.0389
=
0.6383
0.6107
0.0276
0.6484
0.6550
−0.0066
0.6573
0.6826
−0.0252
0.6608
0.6859
−0.0251
0.5377
0.4446
0.0932
0.5364
0.5042
0.0322
0.5389
0.5313
0.0076
0.5322
0.5349
−0.0027
0.3605
0.3556
0.0049
0.3651
0.3819
−0.0168
0.3680
0.3921
−0.0241
0.3627
0.3912
−0.0286
0.2008
0.1036
0.0972
0.1988
0.1467
0.0521
0.1982
0.1583
0.0400
0.1926
0.1665
0.0261