Table 1.
Simulated data: Observed odds ratios (OR), associated 95% confidence intervals (CI) and SEM regression coefficients with corresponding standard errors (SE) obtained via ML estimation (N = 5000)
| Observed association | SEM-predicted effects | |||
| Parameter* | OR (95% CI) for the variable pairs | Correlation (Q) estimate | Regression estimate (SE) in Q-metric | Regression estimate (95% CI) in OR-metric** |
| a1 (BIN1→YBIN) | 2.138 (1.887, 2.423) | 0.3627 | 0.0281 (0.0039) | 1.058 (1.042, 1.074) |
| a2 (BIN2→YBIN) | 3.711 (3.255, 4.232) | 0.5755 | 0.1036 (0.0044) | 1.231 (1.210, 1.253) |
| a3 (BIN3→YBIN) | 0.364 (0.321, 0.414) | -0.4660 | -0.4979 (0.0033) | 0.335 (0.329, 0.341) |
| a4 (MBIN→YBIN) | 10.883 (9.411, 12.586) | 0.8137 | 0.7760 (0.0050) | 7.929 (7.554, 8.337) |
| b1 (BIN1→MBIN) | 2.632 (2.304, 3.006) | 0.4493 | 0.4479 (0.0093) | 2.622 (2.507, 2.746) |
| b2 (BIN2→MBIN) | 4.095 (3.561, 4.709) | 0.6075 | 0.6070 (0.0093) | 4.089 (3.863, 4.337) |
| b3 (BIN3→MBIN) | 1.083 (0.955, 1.229) | 0.0398 | 0.0276 (0.0093) | 1.0568 (1.019, 1.096) |
* Arrows point to the dependent variables in the model (see Figure 2)
** Back-transformed from Q to OR by (1+Q)/(1-Q)