Table IV.

Overall performance ranks of randomization design-scenarios Weight w_I = w_R = 1, Sample size = 100.

Rank*	G†	Design (parameter)	EB‡	Dn§	MI¶	ET‖	DA**	CG††	UI‡‡	UR§§
1	0.253	Big stick(δ = 4)	0.129	2.454	3.999	0.611	0.118	0.558	0.272	0.231
2	0.254	Biased coin with imbalance tolerance (δ = 4, pbias = 0.50)	0.130	2.473	3.999	0.612	0.118	0.559	0.272	0.238
12	0.339	Symmetric extension of Ehrenfest urn design (w = 1, pbias = 0.90)	0.199	3.357	4.458	0.349	0.497	0.590	0.314	0.362
26	0.362	Ehrenfest urn design (w = 10)	0.181	2.221	5.228	0.669	0	0.585	0.384	0.340
46	0.392	Permuted block design (b = 30)	0.196	2.633	5.608	0.635	0.056	0.591	0.418	0.364
85	0.436	Permuted block design (b = 12)	0.285	1.702	3.916	0.574	0.137	0.639	0.265	0.557
103	0.466	Permuted block design (b = 10)	0.307	0	3.620	0.553	0.167	0.654	0.238	0.615
109	0.480	Permuted block design (b = 8)	0.329	1.524	3.272	0.537	0.192	0.662	0.206	0.646
149	0.523	Permuted block design (b = 6)	0.365	1.270	2.830	0.505	0.241	0.680	0.166	0.721
181	0.594	Permuted block design (b = 4)	0.416	0	2	0.448	0.334	0.709	0.091	0.835
255	0.709	Permuted block design (b = 2)	0.500	0	1	0.347	0.5	0.751	0	0.003
57	0.404	Generalized biased coin design (ρ = 5)	0.216	3.040	5.503	0.647	0.010	0.600	0.409	0.399
59	0.407	Variable block design(bmax = 50)	0.199	2.435	5.811	0.631	0.063	0.594	0.437	0.376
79	0.432	Biased coin design (pbias = 0.65)	0.236	2.349	5.490	0.658	0	0.614	0.408	0.455
112	0.490	Random allocation rule	0.116	0	8.207	0.668	0.020	0.558	0.654	0.231
113	0.491	Wei’s UD (w = 1, α = 0, β = 5)	0.122	5.696	8.404	0.684	0	0.543	0.672	0.172
118	0.492	Wei’s adaptive BCD	0.125	5.673	8.415	0.680	0.010	0.544	0.673	0.178
187	0.600	Asymmetric extension of Ehrenfest UD (w = 30)	0.084	7.700	10.317	0.687	0	0.517	0.846	0.066
218	0.658	Truncated binomial design	0.080	0	11.102	0.638	0.079	0.540	0.917	0.162
249	0.707	SR	0.071	10.017	12.019	0.693	0	0.501	1	0.003

Simulation runs = 5000.

^*Only the highest ranking scenario for each design and the most commonly used permuted block designs are listed.

^†Overall performance measure based on maximum absolute imbalance and correct guess probability.

^‡Probability of exact balance.

^§Standard deviation of final treatment imbalance.

^¶Maximum absolute imbalance.

^‖Entropy of treatment assignment.

^**Proportion of deterministic assignment.

^††Probability of correct guess.

^‡‡Unified scale of treatment imbalance.

^§§Unified scale of allocation randomness.