Table 1.
Marginal odds ratios for various values of the conditional odds ratio, the conditional intercept (β0C) and corresponding mean response when X=0 (π0C), and the standard deviation (SD) of the normally distributed radiologist-specific effects.
| Marginal odds ratio, exp(β1M) | |||||||
|---|---|---|---|---|---|---|---|
| Conditional odds ratio, exp(β1C) | SD for X=1 | SD for X=0 | β0C = −2.2 (π0C = .10) | β0C = −1.1 (π0C = .25) | β0C = 0 (π0C = .50) | β0C = 1.1 (π0C = .75) | β0C = 2.2 (π0C = .90) |
| 1.00 | 0.50 | 0.50 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| 1.00 | 0.79 | 0.88 | 1.00 | 1.13 | 1.26 | ||
| 2.00 | 0.48 | 0.69 | 1.00 | 1.45 | 2.09 | ||
| 1.00 | 0.50 | 1.26 | 1.13 | 1.00 | 0.88 | 0.79 | |
| 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | ||
| 2.00 | 0.61 | 0.78 | 1.00 | 1.28 | 1.65 | ||
| 2.00 | 0.50 | 2.09 | 1.45 | 1.00 | 0.69 | 0.48 | |
| 1.00 | 1.65 | 1.28 | 1.00 | 0.78 | 0.61 | ||
| 2.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | ||
| 2.00 | 0.50 | 0.50 | 1.96 | 1.93 | 1.93 | 1.95 | 1.97 |
| 1.00 | 1.55 | 1.70 | 1.93 | 2.21 | 2.50 | ||
| 2.00 | 0.94 | 1.33 | 1.93 | 2.82 | 4.12 | ||
| 1.00 | 0.50 | 2.32 | 2.03 | 1.78 | 1.60 | 1.48 | |
| 1.00 | 1.83 | 1.79 | 1.78 | 1.81 | 1.88 | ||
| 2.00 | 1.11 | 1.40 | 1.78 | 2.32 | 3.10 | ||
| 2.00 | 0.50 | 3.26 | 2.22 | 1.52 | 1.06 | 0.76 | |
| 1.00 | 2.57 | 1.95 | 1.52 | 1.21 | 0.96 | ||
| 2.00 | 1.56 | 1.53 | 1.52 | 1.54 | 1.59 | ||