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. Author manuscript; available in PMC: 2016 May 10.
Published in final edited form as: Stat Med. 2015 Jan 28;34(10):1721–1732. doi: 10.1002/sim.6443

Table 2.

Selection percentage and the average number of patients (shown in parentheses) treated at each dose level under the proposed design and EffTox 1 and 2 designs with dropout rate about 50%. The bolded numbers are target doses.

Design Dose level Duration
(months)

1 2 3 4 5
Scenario 1
E, πT) (0.42, 0.05) (0.45, 0.45) (0.46, 0.65) (0.47, 0.75) (0.48, 0.85)
Proposed 75.7 (24.5) 19.8 (22.3) 0.0 (2.4) 0.0 (0.2) 0.0 (0.0) 21.0
EffTox1 78.9 (27.6) 16.0 (18.6) 0.0 (2.7) 0.0 (0.2) 0.0 (0.0) 30.6
EffTox2 21.2 (9.5) 52.3 (20.8) 17.7 (13.6) 5.8 (4.9) 1.2 (1.4) 23.4
Scenario 2
E, πT) (0.41, 0.03) (0.48, 0.13) (0.56, 0.45) (0.63, 0.77) (0.7, 0.89)
Proposed 3.6 (5.0) 82.6 (28.3) 13.1 (15.9) 0.0 (1.6) 0.0 (0.0) 21.9
EffTox1 10.2 (7.1) 81.0 (28.0) 7.9 (13.4) 0.2 (2.1) 0.0 (0.1) 29.7
EffTox2 2.3 (3.6) 54.8 (17.3) 41.4 (24.1) 1.0 (5.0) 0.0 (0.8) 26.7
Scenario 3
E, πT) (0.3, 0.01) (0.36, 0.05) (0.43, 0.17) (0.51, 0.45) (0.6, 0.77)
Proposed 2.4 (4.1) 13.7 (8.8) 71.7 (24.8) 11.6 (11.8) 0.0 (1.2) 23.4
EffTox1 4.7 (5.2) 27.9 (13.5) 62.1 (21.5) 4.0 (8.6) 0.0 (1.7) 31.8
EffTox2 0.2 (3.1) 3.9 (3.9) 50.1 (15.6) 42.1 (20.7) 3.6 (7.6) 25.5
Scenario 4
E, πT) (0.21, 0.01) (0.26, 0.04) (0.32, 0.1) (0.38, 0.23) (0.46, 0.47)
Proposed 1.1 (3.7) 6.9 (6.1) 20.2 (10.5) 62.9 (21.7) 7.1 (8.5) 24.9
EffTox1 3.0 (4.7) 15.0 (8.6) 29.2 (12.7) 44.0 (17.0) 5.2 (7.2) 35.4
EffTox2 0.5 (3.3) 2.9 (3.9) 14.8 (7.2) 43.3 (15.9) 38.5 (20.7) 30.6
Scenario 5
E, πT) (0.11, 0.03) (0.17, 0.04) (0.24, 0.04) (0.34, 0.05) (0.45, 0.06)
Proposed 0.0 (3.5) 3.5 (4.6) 7.5 (6.3) 14.1 (8.0) 71.6 (27.7) 25.5
EffTox1 0.5 (3.5) 3.0 (4.7) 11.2 (7.3) 16.8 (8.8) 64.3 (25.4) 35.4
EffTox2 1.1 (3.5) 4.0 (4.3) 7.9 (5.5) 27.0 (7.8) 59.5 (29.7) 35.1
Scenario 6
E, πT) (0.4, 0.03) (0.4, 0.3) (0.4, 0.5) (0.4, 0.65) (0.4, 0.8)
Proposed 23.4 (11.6) 70.8 (30.4) 2.9 (7.1) 0.0 (0.9) 0.0 (0.1) 22.2
EffTox1 29.5 (12.6) 64.4 (28.2) 2.2 (7.3) 0.0 (1.2) 0.0 (0.1) 33.3
EffTox2 10.5 (6.8) 66.5 (24.9) 20.2 (13.8) 2.2 (4.3) 0.2 (1.0) 33.6
Scenario 7
E, πT) (0.12, 0.03) (0.3, 0.04) (0.57, 0.04) (0.3, 0.05) (0.12, 0.06)
Proposed 0.5 (3.9) 22.6 (11.5) 62.4 (19.9) 8.3 (7.9) 1.7 (6.7) 24.3
EffTox1 1.9 (4.1) 26.3 (13.1) 52.8 (17.7) 10.3 (7.3) 1.8 (6.7) 33.6
EffTox2 2.0 (3.6) 23.3 (7.6) 48.4 (14.3) 23.3 (10.7) 2.5 (14.7) 35.1
Scenario 8
E, πT) (0.27, 0.02) (0.52, 0.03) (0.3, 0.05) (0.24, 0.06) (0.2, 0.07)
Proposed 8.8 (7.1) 55.7 (18.7) 19.6 (11.3) 8.3 (6.2) 5.9 (7.4) 24.9
EffTox1 7.7 (6.9) 50.6 (18.1) 23.7 (11.2) 8.0 (6.2) 6.5 (7.6) 35.1
EffTox2 4.2 (5.0) 35.7 (11.5) 35.6 (11.2) 19.9 (9.4) 4.1 (13.7) 36.6
Scenario 9
E, πT) (0.01, 0.01) (0.02, 0.01) (0.03, 0.01) (0.04, 0.01) (0.05, 0.3)
Proposed 0.0 (3.3) 0.0 (3.5) 0.0 (3.4) 0.2 (4.1) 0.4 (8.0) 19.5
EffTox1 0.7 (3.3) 0.5 (3.3) 0.1 (3.2) 0.0 (3.7) 2.9 (7.8) 20.7
EffTox2 1.8 (3.4) 3.6 (3.8) 6.1 (3.9) 8.8 (5.4) 20.1 (19.9) 33.3
Scenario 10
E, πT) (0.1, 0.01) (0.3, 0.01) (0.05, 0.01) (0.05, 0.01) (0.05, 0.3)
Proposed 5.6 (8.3) 37.8 (14.4) 0.5 (5.2) 0.3 (4.4) 1.0 (7.0) 24.9
EffTox1 7.2 (8.0) 25.8 (10.8) 0.6 (4.2) 0.1 (4.0) 1.9 (6.3) 30.9
EffTox2 11.7 (7.5) 52.3 (15.2) 7.6 (5.6) 4.5 (5.2) 7.1 (13.5) 42.0