Number of Patients per Cohort and Sample Size Considerations Using Dose Escalation with Overdose Control

Table 3

Estimated proportions of patients given doses in an 𝜀-neighborhood of the true MTD under designs ¹𝑃 and ³𝑃 and differences between these proportions on the average.

		Sample size 𝑛
		12		18		24		30
	0.05	^1𝑃	0.1436	^1𝑃	0.1625	^1𝑃	0.1781	^1𝑃	0.1920
		^3𝑃	0.0924	^3𝑃	0.1230	^3𝑃	0.1459	^3𝑃	0.1644
		diff.	0.0512	diff.	0.0395	diff.	0.0322	diff.	0.0276
ε	0.10	^1𝑃	0.2956	^1𝑃	0.3200	^1𝑃	0.3405	^1𝑃	0.3587
		^3𝑃	0.2860	^3𝑃	0.3101	^3𝑃	0.3322	^3𝑃	0.3497
		diff.	0.0096	diff.	0.0099	diff.	0.0083	diff.	0.0090
	0.15	^1𝑃	0.4115	^1𝑃	0.4412	^1𝑃	0.4640	^1𝑃	0.4839
		^3𝑃	0.3888	^3𝑃	0.4239	^3𝑃	0.4516	^3𝑃	0.4714
		diff.	0.0227	diff.	0.0173	diff.	0.0124	diff.	0.0125
	0.20	^1𝑃	0.4988	^1𝑃	0.5340	^1𝑃	0.5589	^1𝑃	0.5801
		^3𝑃	0.4517	^3𝑃	0.4991	^3𝑃	0.5333	^3𝑃	0.5564
		diff.	0.0471	diff.	0.0349	diff.	0.0256	diff.	0.0237