Table 4.

Comparison of randomness among PBD, MP and BUD (sample size = 300, simulation replication = 10,000)

Randomization Design		Deterministic assignment probability			Correct guess probability
Allocation	λ	PBD	MP	BUD	PBD	MP	BUD
w1 = 1 w2 = 2	1	0.4443	0.4444	0.4444	0.7780	0.7779	0.7778
	2	0.2891	0.1208	0.1206	0.7444	0.7080	0.7079
	3	0.2126	0.0481	0.0338	0.7268	0.6840	0.6884
	4	0.1706	0.0244	0.0097	0.7168	0.6741	0.6792
	5	0.1412	0.0142	0.0027	0.7097	0.6676	0.6745
	6	0.1163	0.0095	0.0008	0.7030	0.6632	0.6716
w1 = 2 w2 = 3	1	0.3002	0.1636	0.2999	0.7198	0.6899	0.7200
	2	0.1772	0.0310	0.0312	0.6838	0.6274	0.6428
	3	0.1258	0.0108	0.0032	0.6658	0.6092	0.6234
	4	0.0978	0.0052	0.0003	0.6546	0.6004	0.6143
	5	0.0798	0.0032	0.0000	0.6469	0.5940	0.6094
	6	0.0670	0.0023	0.0000	0.6416	0.5898	0.6065
w1 = 1 w2 = 2 w3 = 2	1	0.2400	Not available	0.2399	0.6065	Not available	0.6068
	2	0.1364		0.0202	0.5589		0.5120
	3	0.0956		0.0017	0.5346		0.4826
	4	0.0734		0.0002	0.5187		0.4674
	5	0.0597		0.0000	0.5069		0.4584
	6	0.0502		0.0000	0.4985		0.4520

PBD: Permuted block design

MP: Maximal procedure

BUD: Block urn design

MTI: Maximum tolerated imbalance

Correct guess uses convergent strategy