Journal of Probability and Statistics / 2012 / Article / Tab 5 / Research Article
Number of Patients per Cohort and Sample Size Considerations Using Dose Escalation with Overdose Control Table 5 Estimated proportions of patients exhibiting DLTs, treated above the MTD, MSE, and bias of the MTD under designs
1
and
3
for high values of
and selected values of
.
Sample size 12 18 24 30
1
3
Diff.
1
3
Diff.
1
3
Diff.
1
3
Diff.
=
Proportion of DLTs
0.1866
0.1657
0.0209
0.2010
0.1863
0.0147
0.2108
0.1996
0.0112
0.2168
0.2080
0.0088
Proportion above the MTD
0.0258
0.0001
0.0257
0.0529
0.0341
0.0188
0.0787
0.0603
0.0185
0.0974
0.0817
0.0157
MSE
0.0099
0.0092
0.0008
0.0102
0.0104
−0.0002
0.0103
0.0102
0.0001
0.0098
0.0107
−0.0008 Bias
0.0065
0.0097
−0.0033
0.0195
0.0238
−0.0043
0.0287
0.0331
−0.0044
0.0397
0.0401
−0.0003
=
Proportion of DLTs
0.2250
0.2121
0.0129
0.2286
0.2226
0.0059
0.2342
0.2270
0.0072
0.2369
0.2341
0.0027
Proportion above the MTD
0.0184
0.0000
0.0184
0.0384
0.0188
0.0197
0.0535
0.0339
0.0196
0.0666
0.0450
0.0216
MSE
0.0178
0.0140
0.0038
0.0169
0.0152
0.0017
0.0167
0.0152
0.0015
0.0168
0.0153
0.0015
Bias −0.0449 −0.0356 −0.0092 −0.0317 −0.0278 −0.0039 −0.0271 −0.0177 −0.0093 −0.0223 −0.0173 −0.0050
=
Proportion of DLTs
0.2609
0.2570
0.0039
0.2604
0.2593
0.0011
0.2643
0.2601
0.0042
0.2632
0.2636
−0.0004 Proportion above the MTD
0.0132
0.0001
0.0132
0.0291
0.0120
0.0171
0.0392
0.0236
0.0156
0.0481
0.0323
0.0158
MSE
0.0289
0.0228
0.0061
0.0306
0.0251
0.0055
0.0321
0.0250
0.0071
0.0327
0.0267
0.0060
Bias −0.0898 −0.0794 −0.0104 −0.0870 −0.0762 −0.0109 −0.0905 −0.0718 −0.0186 −0.0863 −0.0746 −0.0117
=
Proportion of DLTs
0.1549
0.1387
0.0162
0.1678
0.1541
0.0136
0.1774
0.1663
0.0111
0.1846
0.1762
0.0084
Proportion above the MTD
0.0000
0.0000
0.0000
0.0001
0.0000
0.0001
0.0022
0.0009
0.0013
0.0052
0.0032
0.0020
MSE
0.0347
0.0349
−0.0003
0.0276
0.0273
0.0003
0.0226
0.0221
0.0004
0.0184
0.0192
−0.0008 Bias −0.1575 −0.1622
0.0047
−0.1323 −0.1326
0.0003
−0.1128 −0.1125 −0.0003 −0.0977 −0.0996
0.0019
=
Proportion of DLTs
0.2042
0.1933
0.0109
0.2099
0.2026
0.0073
0.2143
0.2083
0.0060
0.2179
0.2135
0.0044
Proportion above the MTD
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0012
0.0003
0.0008
0.0020
0.0013
0.0007
MSE
0.0641
0.0592
0.0049
0.0578
0.0542
0.0037
0.0543
0.0503
0.0040
0.0514
0.0464
0.0050
Bias −0.2192 −0.2159 −0.0034 −0.2025 −0.1983 −0.0042 −0.1911 −0.1869 −0.0041 −0.1818 −0.1776 −0.0042
=
Proportion of DLTs
0.2502
0.2469
0.0032
0.2533
0.2505
0.0028
0.2555
0.2522
0.0033
0.2548
0.2532
0.0016
Proportion above the MTD
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0004
0.0002
0.0001
0.0013
0.0008
0.0005
MSE
0.0979
0.0877
0.0102
0.0995
0.0900
0.0095
0.1011
0.0883
0.0128
0.0989
0.0887
0.0102
Bias −0.2760 −0.2673 −0.0087 −0.2750 −0.2640 −0.0110 −0.2747 −0.2595 −0.0152 −0.2685 −0.2564 −0.0121