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. Author manuscript; available in PMC: 2016 Jan 31.
Published in final edited form as: Clin Trials. 2014 Oct 27;12(1):24–33. doi: 10.1177/1740774514555585

Table 3. Likelihood-ratios and decision rules for ‘3+3’ and mTPI designs (per dose level) for scenario C.

(C) H1: p=0.15 vs H2: p=0.05

DLT(n)a ‘3+3’ rule mTPI ruleb L(p2)/L(p1) Evidencec

k=1 k=2 k=4
0(3) acceptable (E) acceptable (E) LR=1.40 acceptable weak weak
0(3)+0(3) acceptable (E) acceptable (E) LR=1.95 acceptable weak weak
1(3)+0(3) acceptable (E) acceptable (S) LR=0.58 toxic weak weak
2(3) toxic (D) toxic (D) LR=0.12 toxic toxic toxic
3(3) toxic (D) toxic (D) LR=0.04 toxic toxic toxic
1(3)+1(3) toxic (D) toxic (D) LR=0.17 toxic toxic toxic
1(3)+2(3) toxic (D) toxic (D) LR=0.05 toxic toxic toxic
1(3)+3(3) toxic (D) toxic (D) LR=0.02 toxic toxic toxic

Abbreviations: D: de-escalation; S: stay at same dose; E: escalation;

a

Dose limiting toxicities (cohort size)

b

mTPI: modified toxicity probability interval with pT = 0.10 and ε1= ε2=0.05

c

Acceptable: LRk; Toxic: LR ≤ 1 / k; Weak evidence (favors neither hypothesis): 1 / k < LR < k