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. Author manuscript; available in PMC: 2014 Dec 1.
Published in final edited form as: Ann Appl Stat. 2013 Dec 23;7(4):1837–2457. doi: 10.1214/13-AOAS661

Table 1.

Simulation study comparing the complete-data CRM (CRMcomp), the CRM based on the observed toxicity data only (CRMobs), time-to-event CRM (TITE-CRM) and the proposed data augmentation CRM (DA-CRM) with the sample size 36, the cohort size 3, and the A/I ratio = 6.

Time to
toxicity
Design Recommendation percentage at dose level NMTD+ Duration
(months)

1 2 3 4 5 6 None
Scenario 1 Pr(toxicity) 0.1 0.15 0.3 0.45 0.6 0.7
CRMcomp 0.6 13.8 61.9 22.9 0.6 0.0 0.2 9.0 36.4
# patients 4.8 7.2 14.9 7.6 1.3 0.1
Weibull CRMobs 0.4 7.5 48.4 27.4 2.4 0.1 13.7 4.0 8.2
# patients 7.5 8.3 13.2 3.0 0.9 0.1
TITE-CRM 3.4 23.1 55.9 16.5 0.6 0.0 0.5 15.5 9.0
# patients 5.1 6.3 9.0 8.1 4.9 2.5
DA-CRM 0.9 14.7 56.4 25.1 1.5 0.0 1.2 10.4 8.9
# patients 9.4 7.6 8.3 6.0 3.0 1.3
Log-logistic CRMobs 0.3 7.8 48.2 27.4 2.7 0.1 13.6 4.0 8.2
# patients 7.4 8.4 13.2 3.0 0.9 0.1
TITE-CRM 3.6 22.6 56.3 16.5 0.6 0.0 0.4 15.4 9.0
# patients 5.1 6.4 9.1 8.2 4.8 2.4
DA-CRM 0.9 13.9 58.1 23.8 1.9 0.0 1.3 10.3 8.9
# patients 9.5 7.6 8.2 6.0 3.0 1.3
Uniform CRMobs 0.1 4.7 38.0 30.5 2.9 0.1 23.6 2.8 7.5
# patients 8.6 8.2 10.9 2.3 0.5 0.0
TITE-CRM 2.1 20.4 56.6 19.1 1.4 0.0 0.4 13.0 9.0
# patients 6.3 7.0 9.7 8.0 3.7 1.3
DA-CRM 0.6 11.2 56.9 27.6 1.7 0.0 1.9 8.7 8.9
# patients 10.8 7.6 8.5 5.7 2.2 0.7
Scenario 2 Pr(toxicity) 0.08 0.1 0.2 0.3 0.45 0.6
CRMcomp 0.0 1.4 23 55.9 18.8 0.8 0.1 6.6 36.4
# patients 4.1 4.1 9.0 12.2 5.5 1.0
Weibull CRMobs 0.0 1.0 18.9 48.5 22.2 1.8 7.6 2.9 8.5
# patients 5.7 6.7 13.8 5.2 2.3 0.7
TITE-CRM 0.1 2.6 29.2 52.4 14.9 0.8 0.1 11.2 9.0
# patients 4.2 4.7 7.1 8.8 6.8 4.4
DA-CRM 0.0 1.5 24.4 54.0 17.7 1.4 1.1 7.3 8.9
# patients 8.4 6.3 7.0 6.7 4.5 2.8
Log-logistic CRMobs 0.0 0.9 19.0 48.5 22.0 1.9 7.7 2.9 8.5
# patients 5.7 6.7 13.8 5.1 2.3 0.7
TITE-CRM 0.1 2.6 29.0 52.3 15.1 0.8 0.1 11.1 9.0
# patients 4.1 4.7 7.2 8.8 6.8 4.3
DA-CRM 0.0 1.4 23.3 54.0 18.7 1.6 1.0 7.5 8.9
# patients 8.3 6.2 6.9 6.8 4.6 2.9
Uniform CRMobs 0.0 0.7 14.9 45.3 23.3 2.3 13.5 2.0 8.1
# patients 6.9 7.1 12.3 4.5 1.7 0.4
TITE-CRM 0.1 2.2 26.9 54.4 15.4 0.9 0.1 9.6 9.0
# patients 4.9 5.0 7.6 8.8 6.2 3.3
DA-CRM 0.0 1.3 23.7 54.0 18.8 1.1 1.2 6.2 8.9
# patients 9.3 6.3 7.1 6.8 4.2 2.0