Population | Input parameters | Estimated parameters | |||||||
---|---|---|---|---|---|---|---|---|---|
ρ | Normal (μ, σ) | Adjusted OR | Cases | Controls | SD of β 0 + ∑β i X i | AUC | |||
ρ | (μ, σ) | ρ | (μ, σ) | ||||||
A | 0.2 | μ: (0, 0); \( \sigma \): (1, 1) | (1.5, 1.5) | 0.17 | μ: (0.37, 0.35); \( \sigma \): (0.97, 0.97) | 0.17 | μ: (-0.09, -0.09); \( \sigma \): (0.98, 0.98) | 0.61 | 0.663 |
B | -0.1 | ,, | ,, | -0.12 | μ: (0.27, 0.28); \( \sigma \): (0.98, 0.98) | -0.12 | μ: (-0.07, -0.07); \( \sigma \): (0.99, 0.99) | 0.54 | 0.645 |
C | - 0.2 | ,, | ,, | -0.22 | μ: (0.26, 0.24); \( \sigma \): (0.99, 0.99) | -0.22 | μ: (-0.06, -0.06) \( \sigma \): (0.99, 0.99) | 0.51 | 0.639 |
D | 0.1 | ,, | ,, | 0.07 | μ: (0.33, 0.33) \( \sigma \): (0.99, 0.99) | 0.07 | μ: (-0.08, -0.08) \( \sigma \): (0.99, 0.99) | 0.59 | 0.660 |
E | 0.4 | ,, | ,, | 0.37 | μ: (0.42, 0.42) \( \sigma \): (0.97, 0.97) | 0.37 | μ: (-0.10, -0.10) \( \sigma \): (0.98, 0.98) | 0.67 | 0.676 |
F | 0.2 | ,, | (1.5, 1.2) | 0.18 | μ: (0.34, 0.20) \( \sigma \): (0.98, 0.98) | 0.19 | μ: (-0.08, -0.05) \( \sigma \): (0.99, 0.99) | 0.47 | 0.629 |
G | ,, | ,, | (1.2, 1.2) | 0.19 | μ: (0.16, 0.17) \( \sigma \): (1, 1) | 0.19 | μ: (-0.04, -0.04) \( \sigma \): (1, 1) | 0.27 | 0.575 |
H | ,, | ,, | (1.5, 3) | 0.10 | μ: (0.41, 0.76) \( \sigma \): (0.97, 0.97) | 0.14 | μ: (-0.10, -0.19) \( \sigma \): (0.98, 0.98) | 1.25 | 0.789 |
I | ,, | ,, | (0.8, 0.8) | 0.20 | μ: (-0.20, -0.20) \( \sigma \): (1, 1) | 0.19 | μ: (0.05, 0.05) \( \sigma \): (0.99, 0.99) | 0.33 | 0.593 |
J | -0.1 | ,, | (1.5, 0.8) | -0.09 | μ: (0.37, -0.20); \( \sigma \): (0.99, 0.99) | -0.08 | μ: (-0.08, 0.05); \( \sigma \): (0.98, 0.98) | 0.49 | 0.632 |
K | 0.2 | ,, | ,, | 0.21 | μ: (0.28, -0.11) \( \sigma \): (0.99, 0.99) | 0.21 | μ: (-0.07, 0.03) \( \sigma \): (0.99, 0.99) | 0.42 | 0.616 |
L | 0.4 | ,, | ,, | 0.40 | μ: (0.24, -0.05); \( \sigma \): (0.99, 0.99) | 0.41 | μ: (-0.06, 0.01); \( \sigma \): (0.99, 0.99) | 0.37 | 0.603 |
M | ,, | Mean: (0, 0); SD: (1, 3) | (1.5, 1.5) | 0.10 | μ: (0.41, 2.47) \( \sigma \): (0.97, 0.97) | 0.14 | μ: (-0.10, -0.62) \( \sigma \): (0.98, 0.98) | 1.37 | 0.804 |
N | - 0.2 | ,, | ,, | -0.25 | μ: (0.11, 2.25) \( \sigma \): (1, 1) | -0.24 | μ: (-0.03, -0.56) \( \sigma \): (1, 1) | 1.21 | 0.781 |
O | 0.1 | ,, | ,, | 0.01 | μ: (0.34, 2.38) \( \sigma \): (0.98, 0.98) | 0.04 | μ: (-0.08, -0.59) \( \sigma \): (0.99, 0.99) | 1.31 | 0.795 |
P | 0.4 | ,, | ,, | 0.30 | μ: (0.56, 2.56) \( \sigma \): (0.94, 0.94) | 0.33 | μ: (-0.14, -0.63) \( \sigma \): (0.96, 0.96) | 1.42 | 0.810 |