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. Author manuscript; available in PMC: 2019 Mar 30.
Published in final edited form as: Stat Med. 2018 Oct 25;38(7):1170–1189. doi: 10.1002/sim.8021

TABLE 2.

Selected percentage followed by the average number of patients treated in parenthesis. Dose levels with bold (p, q) are the optimal dose level(s) in each scenario. The numbers in the parenthesis following the design are batch sizes

Scenario Dose Level
1 2 3 4 5 Total
7 (p, q) (0.01,0.05) (0.02,0.25) (0.03,0.25) (0.04,0.25) (0.05,0.25)
Nonparametric(7) 1.8(7.4) 20(8.4) 20(8.4) 15.4(6.6) 42.8(5.3) 100(36.1)
EffTox(7) 5(9.1) 52(18.2) 32(11.1) 4(1.2) 1(0.2) 94(39.8)
EffTox(3) 4(5.6) 40(15.2) 26(10.9) 10(3.4) 5(1.1) 85(36.2)
UAROET(6) 0.5(7.5) 16.2(12) 29.7(11.1) 34.4(7) 15.5(3.5) 96.3(41.1)
UAROET(3) 0.2(4.5) 11(8.8) 25(10) 28.8(9.2) 30.5(8.1) 95.5(40.7)
8 (p, q) (0.01,0.05) (0.02,0.25) (0.03,0.4) (0.04,0.4) (0.05,0.4)
Nonparametric(7) 1.5(7.5) 7.5(8.2) 21.5(8.1) 17.6(7.7) 51.9(6.2) 100(37.7)
EffTox(7) 4(8.8) 31(14.8) 52(15) 7(1.4) 1(0.2) 95(40.2)
EffTox(3) 4(5.5) 27(11.9) 48(16.9) 11(3.2) 2(0.8) 92(38.3)
UAROET(6) 0.3(7.2) 12.5(11.1) 33.8(12.5) 34.7(7.2) 16.5(3.3) 97.8(41.3)
UAROET(3) 0.1(4.4) 4.9(8.4) 28.2(11.1) 34.1(9.5) 30.3(7.8) 97.6(41.2)
9 (p, q) (0.01,0.05) (0.02,0.25) (0.03,0.4) (0.04,0.6) (0.05,0.6)
Nonparametric(7) 1.4(7.5) 7.3(8.1) 7.1(8.2) 19.4(7.8) 64.8(7.2) 100(38.8)
EffTox(7) 3(8.6) 32(14.8) 47(14.3) 9(1.7) 3(0.2) 94(39.6)
EffTox(3) 5(5.7) 22(10.9) 39(14.7) 18(4.8) 4(0.9) 88(37)
UAROET(6) 0.6(7.4) 9.1(11) 28.2(11.9) 40.3(7.8) 19.3(3.1) 97.5(41.3)
UAROET(3) 0(4.3) 3.7(7.7) 16.4(9.9) 40.4(10.9) 37(8.4) 97.5(41.2)
10 (p, q) (0.01,0.05) (0.02,0.25) (0.03,0.05) (0.04,0.05) (0.05,0.05)
Nonparametric(7) 1.2(7.6) 65.7(8.3) 10.3(9.2) 5.2(3.8) 17.6(2.6) 100(31.5)
EffTox(7) 5(9.4) 78(22.6) 4(6.2) 2(0.7) 1(0.3) 90(39.2)
EffTox(3) 5(5.7) 54(19.7) 6(4.2) 5(1.8) 3(1.2) 73(32.6)
UAROET(6) 0.5(7.4) 22.3(12.2) 17.9(8.2) 21.7(5.9) 8.5(3.8) 70.9(37.5)
UAROET(3) 0.6(4.4) 16.3(10) 18.7(8) 17.9(7.1) 10.3(6.1) 63.8(35.7)
11 (p, q) (0.01,0.05) (0.02,0.2) (0.03,0.4) (0.04,0.15) (0.05,0.15)
Nonparametric(7) 2.3(7.5) 4.7(8.4) 61.2(8.2) 10.7(7.3) 21.1(3) 100(34.5)
EffTox(7) 5(9.5) 23(12.2) 61(15.9) 3(1.5) 0(0) 92(39.1)
EffTox(3) 4(5.7) 19(9.5) 58(19.1) 5(2.1) 3(0.7) 89(37.1)
UAROET(6) 0.3(7.3) 11.3(11) 44.2(12.6) 29.8(6.7) 9.8(3.3) 95.4(40.8)
UAROET(3) 0.3(4.6) 6.5(7.8) 44(12.7) 26.9(8.6) 16.5(6.8) 94.2(40.5)
12 (p, q) (0.01,0.05) (0.02,0.2) (0.03,0.3) (0.04,0.6) (0.05,0.3)
Nonparametric(7) 1.7(7.5) 8.3(8.4) 2.2(8.4) 62.6(7.9) 25.2(6.9) 100(39.1)
EffTox(7) 6(9.2) 32(14) 39(13.5) 13(2.2) 2(0.3) 92(39.2)
EffTox(3) 4(5.7) 25(11.1) 28(11.3) 29(8) 2(0.8) 88(36.9)
UAROET(6) 0.2(7.5) 10(10.7) 24.1(10.9) 49.2(8.7) 13.4(3.3) 96.9(41.1)
UAROET(3) 0.1(4.4) 6(8) 13.8(10) 49.6(11.3) 27.2(7.3) 96.7(41)
13 (p, q) (0.01,0.05) (0.02,0.05) (0.03,0.3) (0.04,0.05) (0.05,0.05)
Nonparametric(7) 15.1(7.4) 0.8(9.5) 64.2(7.3) 6.2(7.3) 13.7(2.4) 100(34)
EffTox(7) 15(12.6) 8(8.8) 57(14.4) 6(2.5) 2(0.2) 88(38.5)
EffTox(3) 6(6.7) 6(4.9) 51(16.6) 5(2.7) 3(1.1) 71(32)
UAROET(6) 0.6(7.4) 2.1(6.7) 46.3(13.8) 20.5(6.6) 9(3.3) 78.5(38)
UAROET(3) 0.2(4.4) 1.9(5.5) 42.4(13.1) 15.5(7.3) 11.7(5.6) 71.7(35.9)
14 (p, q) (0.01,0.05) (0.02,0.05) (0.03,0.05) (0.04,0.3) (0.05,0.05)
Nonparametric(7) 13.3(7.5) 14.8(9.5) 0.6(8.9) 55.1(6.7) 16.2(6.2) 100(38.8)
EffTox(7) 20(13.9) 18(10.9) 7(6.2) 32(4.9) 4(1.3) 81(37.2)
EffTox(3) 8(6.8) 8(6) 8(4.5) 40(11) 4(2.1) 68(30.4)
UAROET(6) 0.6(7.3) 3.3(6.6) 7.3(6.5) 43.8(11.2) 22.9(6.3) 77.9(37.9)
UAROET(3) 0.5(4.3) 0.8(5.1) 6.2(6) 36.1(11.2) 29.1(9.6) 72.7(36.2)
15 (p, q) (0.01,0.05) (0.02,0.05) (0.03,0.05) (0.04,0.05) (0.05,0.3)
Nonparametric(7) 15(7.5) 13.2(9.5) 11.9(8.6) 0.9(7.7) 59(5.4) 100(38.6)
EffTox(7) 20(13.7) 18(10.6) 13(7.2) 9(3.2) 16(1.8) 76(36.5)
EffTox(3) 10(7.3) 8(5.7) 9(5.1) 8(3.2) 28(7.1) 63(28.4)
UAROET(6) 0.5(7.4) 4.3(6.6) 6.6(6.5) 13.4(6.4) 52.9(10.9) 77.7(37.8)
UAROET(3) 0.1(4.4) 1.8(5.3) 4.8(5.8) 9.2(6.5) 57.9(14) 73.8(36)