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Table 4 Proportion of allocations that are deterministic, fully random, or in between

From: Simulation and minimization: technical advances for factorial experiments designed to optimize clinical interventions

Cells  
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Ave. cells
SR 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% 100% 16.0
SPB 4.2% 4.3% 4.5% 4.5% 4.6% 4.7% 4.9% 5.1% 5.4% 5.4% 5.6% 6.2% 6.9% 7.4% 9.9% 18.2% 10.4
MTI2 5.9% 5.9% 5.9% 5.8% 5.4% 5.0% 4.4% 3.6% 2.9% 2.1% 1.5% 1.0% 0.6% 0.3% 0.1% 49.7% 10.6
MTI3 5.9% 5.7% 5.3% 4.8% 4.2% 3.5% 2.8% 2.1% 1.5% 1.1% 0.7% 0.4% 0.2% 0.1% 0.0% 61.6% 11.6
MSB 19.7% 16.1% 13.2% 10.8% 9.0% 7.4% 5.9% 4.4% 3.0% 2.0% 1.3% 1.1% 0.8% 0.8% 0.6% 3.9% 4.7
Min 34.0% 18.8% 13.7% 10.0% 7.1% 4.6% 2.8% 1.7% 0.9% 0.5% 0.3% 0.1% 0.1% 0.0% 0.0% 0.0% 2.7
  1. Note. 1 cell = deterministic; 16 cells = completely random. SR = simple randomization; SPB = stratification with permuted blocks; MTI = maximum tolerated imbalance; MSB = minimal sufficient balance; Min = minimization. Ave. cells = average number of cells eligible for randomization per allocation