. Author manuscript; available in PMC: 2021 Aug 30.

Published in final edited form as: Stat Med. 2020 May 4;39(19):2506–2517. doi: 10.1002/sim.8552

TABLE 3.

Results from simulations related to allocation randomness when biased coin probability is varied

Minimization
Biased coin probability	ξ	0.5	0.55	0.6	0.65	0.7	0.8	0.9	1.0
Proportion of pure random assignments	α	1.00	.095	.119	.137	.153	.172	.184	.192
Correct guess probability^a	G	.500	.545	.588	.629	.669	.748	.826	.904
Balance test P-value fifth percentile	P_0.05	.053	.121	.207	.280	.352	.396	.432	.434
Minimal sufficient balance
Biased coin probability	ξ	0.5	0.55	0.6	0.65	0.7	0.8	0.9	1.0
Proportion of pure random assignments	α	1.00	.421	.534	.613	.667	.736	.789	.823
Correct guess probability^a	G	.500	.529	.547	.558	.567	.579	.584	.589
Balance test P-value fifth percentile	P_0.05	.056	.169	.255	.288	.297	.313	.319	.318

G = (0.5)α + (1−α)ξ.