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. Author manuscript; available in PMC: 2012 Jul 18.
Published in final edited form as: Pharm Stat. 2011 May 5;11(1):39–48. doi: 10.1002/pst.493

Table III.

Performance comparison between PBD(20)* and BCD(0.7)† (Simulation runs = 5000).

Sample size Randomization design Probability
of exact
balance		 Standard deviation
of final
imbalance		 Maximum
imbalance		 Entropy Probability of
deterministic
allocation		 Probability
of correct
guess
20 Permuted block (size = 20) 0.232 0 3.446 0.607 0.090 0.616
Biased coin (p-bias = 0.7) 0.298 1.731 2.963 0.637 0 0.633
80 Permuted block (size = 20) 0.234 0 4.655 0.606 0.091 0.617
Biased coin (p-bias = 0.7) 0.287 1.760 4.374 0.635 0 0.640
300 Permuted block (size = 20) 0.233 0 5.690 0.606 0.091 0.617
Biased coin (p-bias = 0.7) 0.287 1.783 5.807 0.635 0 0.642
*

Permuted block design with block size b = 20.

†

Efron’s biased coin design with biased coin probability pbias = 0.7.