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Figure 1.

Performances of the two-way minimization using different values, under a smaller sample size of (left panels, A∼D: the average effect of the prognostic factors is smaller, ; right panels, E∼H: the average effect of the prognostic factors is larger, ; solid circle: with three binary prognostic factors; hollow circle: with six binary prognostic factors; cross: with three polytomous prognostic factors.

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Figure 1 Expand

Figure 2.

Performances of the two-way minimization using different values, under a larger sample size of (left panels, A∼D: the average effect of the prognostic factors is smaller, ; right panels, E∼H: the average effect of the prognostic factors is larger, ; solid circle: with three binary prognostic factors; hollow circle: with six binary prognostic factors; cross: with three polytomous prognostic factors.

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Figure 2 Expand

Table 1.

Biases and variances for the two-way minimization with .

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Table 1 Expand

Table 2.

Type I error rates and powers at a significance level of 0.05 for the two-way minimization with .

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Table 2 Expand

Figure 3.

Performances of the two-way minimization with (red star), as compared to those of the simple randomization (black square), the block randomization with block size = 4 (orange cross), the stratified randomization with block size = 4 (green triangle), the deterministic minimization (purple rhombus), and the biased coin minimization with coin probability = 0.7 (blue circle), under a smaller sample size of (left panels, A∼D: with three binary prognostic factors; middle panels, E∼H: with six binary prognostic factors; right panels, I∼L: with three polytomous prognostic factors).

The treatment effect is set at 1.0.

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Figure 3 Expand

Figure 4.

Performances of the two-way minimization with (red star), as compared to those of the simple randomization (black square), the block randomization with block size = 4 (orange cross), the stratified randomization with block size = 4 (green triangle), the deterministic minimization (purple rhombus), and the biased coin minimization with coin probability = 0.7 (blue circle), under a larger sample size of (left panels, A∼D: with three binary prognostic factors; middle panels, E∼H: with six binary prognostic factors; right panels, I∼L: with three polytomous prognostic factors).

The treatment effect is set at 1.0.

More »

Figure 4 Expand