Estimates are median values of bootstrap distributions and confidence intervals are calculated at the 95% level. P values result from permutation tests with 10,000 permutations of the AUC values. AUCs of both sexual orientation and relationship status increase monotonically with t and ρ. This effect is multiplicative, reaching high τ values for the correlation between AUC and the product of t and ρ. All these observations are robust to the same tests with partial correlation coefficients and significant with P < 0.05 in permutation tests.
Coefficient | Sexual orientation | Relationship status | ||||
Estimate | Confidence interval | P | Estimate | Confidence interval | P | |
τ(AUC, t) | 0.476 | 0.465–0.488 | <0.05 | 0.582 | 0.573–0.592 | <0.05 |
τ(AUC, ρ) | 0.569 | 0.558–0.578 | <0.05 | 0.464 | 0.453–0.475 | <0.05 |
τ(AUC, t·ρ) | 0.951 | 0.949–0.952 | <0.05 | 0.941 | 0.940–0.943 | <0.05 |
τ(AUC, t | ρ) | 0.579 | 0.573–0.585 | <0.05 | 0.657 | 0.652–0.663 | <0.05 |
τ(AUC, ρ | t) | 0.647 | 0.641–0.653 | <0.05 | 0.571 | 0.565–0.577 | <0.05 |
τ(AUC, t·ρ | t) | 0.936 | 0.935–0.938 | <0.05 | 0.918 | 0.917–0.920 | <0.05 |
τ(AUC, t·ρ | ρ) | 0.930 | 0.928–0.932 | <0.05 | 0.926 | 0.924–0.927 | <0.05 |