Table 1.

Comparison of treatment allocation randomness

MTI	Probability of deterministic assignment				Correct guess probability
	PBD	BSD	BUD	MP	PBD	BSD	BUD	MP
1	0.500	0.500	0.500	0.500	0.750	0.750	0.750	0.750
2	0.333	0.250	0.167	0.166	0.708	0.625	0.667	0.666
3	0.250	0.167	0.059	0.073	0.683	0.583	0.632	0.624
4	0.200	0.125	0.021	0.038	0.665	0.562	0.613	0.598
5	0.167	0.100	0.008	0.022	0.653	0.550	0.600	0.582
6	0.143	0.083	0.003	0.014	0.643	0.542	0.590	0.569
7	0.125	0.071	0.001	0.009	0.633	0.536	0.583	0.560
8	0.111	0.063	0.000	0.007	0.625	0.531	0.577	0.553

MTI: Maximal Tolerated Imbalance.

PBD: Permuted block design. Data obtained based on formulas in [4] and Hypergeometric distribution.

BSD: Big Stick Design. Data obtained based on formulas in [30,31].

BUD: Block Urn Design. Data obtained from [29].

MP: Maximal Procedure. Data obtained based on computer simulation with sample size = 300, using algorithm provided by Salama at el. in [32]. Ten thousand simulation runs are performed for each scenario.