Population | Input parameters for cases and controls | Estimated parameters for the population | ||||||
---|---|---|---|---|---|---|---|---|

ρ |
Normal (μ, σ)
| ρ |
(μ, σ)
| Unadjusted OR * | Adjusted OR ** |
SD of β
_{0}
+ ∑β
_{
i
}
X
_{
i
}
| AUC | |

A | Cases = 0.2 Ctrls = 0.2 |
μCases: (1, 2); Ctrls: (0, 0)
\( \sigma \)Cases: (2, 2); Ctrls: (2, 2)
| 0.25 |
μ: (0.2, 0.4); \( \sigma \): (2.04, 2.15)
| 1.28, 1.65 | 1.17, 1.60 | 1.13 | 0.770 |

B | Cases = 0.2 Ctrls = 0.4 | ,, | 0.40 | ,, | ,, | 1.09, 1.60 | 1.09 | 0.765 |

C | Cases = 0.2 Ctrls = - 0.2 | ,, | -0.04 | ,, | ,, | 1.34, 1.68 | 1.25 | 0.785 |

D | Cases = 0.1 Ctrls = 0.1 | ,, | 0.16 | ,, | ,, | 1.22, 1.62 | 1.17 | 0.777 |

E | Cases = - 0.1 Ctrls = - 0.1 | ,, | -0.02 | ,, | ,, | 1.35, 1.70 | 1.28 | 0.795 |

F | Cases = 0.2 Ctrls = 0.2 |
μCases: (1, 3); Ctrls: (0, 0)
SD Cases: (2, 2); Ctrls: (2, 2)
| 0.27 |
μ: (0.2, 0.6); \( \sigma \): (2.04, 2.33)
| 1.28, 2.12 | 1.11, 2.07 | 1.77 | 0.858 |

G | ,, |
μCases: (1, 3); Ctrls: (0, 2)
SD Cases: (2, 2); Ctrls: (2, 2)
| 0.23 |
μ: (0.2, 0.2); \( \sigma \): (2.04, 2.04)
| 1.28, 1.28 | 1.23, 1.23 | 0.67 | 0.676 |

H | ,, |
μCases: (1, 2); Ctrls: (0, 0)
SD Cases: (2, 3); Ctrls: (2,3)
| 0.24 |
μ: (0.2, 0.4); \( \sigma \): (2.04, 3.10)
| 1.28, 1.25 | 1.21, 1.22 | 0.80 | 0.705 |

I | ,, |
μCases: (1, 2); Ctrls: (0, 0)
SD Cases: (2, 1); Ctrls: (2, 1)
| 0.27 |
μ: (0.2, 0.4); \( \sigma \): (2.04, 1.28)
| 1.28, 7.39 | 1.05, 7.23 | 2.56 | 0.922 |