|  |  |  | SNR (\( {e}^{\beta_{HI}} \) = 1) | Low MNR (\( {e}^{\beta_{HI}} \) = 0.4) | High MNR (\( {e}^{\beta_{HI}} \) = 0.05) | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
ω 0 | ω 1 | ω 2 | LRT-1 | LRT-2 | LRT-3 | LRT-1 | LRT-2 | LRT-3 | LRT-1 | LRT-2 | LRT-3 | |
Null scenarios | False positives | |||||||||||
2a | 0.05 | 0.5 | 1.0 | 0.00 | 0.01 | 0.01* | 0.00 | 0.01 | 0.00* | 0.00 | 0.00 | 0.00* |
2b | Â | 1.0 | 1.0 | 0.01 | 0.04 | 0.03* | 0.00 | 0.03 | 0.00* | 0.00 | 0.03 | 0.00* |
Alternative scenarios | True positives | |||||||||||
2c | 0.05 | 0.5 | 1.5 | 0.03 | 0.36 | 0.44 | 0.01 | 0.24 | 0.20* | 0.00 | 0.09 | 0.00* |
2d | Â | Â | 2.0 | 0.52 | 0.82 | 0.85 | 0.05 | 0.65 | 0.61* | 0.00 | 0.45 | 0.14* |
2e | Â | Â | 5.0 | 1.00 | 1.00 | 1.00 | 1.00 | 0.99 | 1.00 | 0.14 | 0.99 | 1.00* |
2f | 0.05 | 1.0 | 1.5 | 0.06 | 0.10 | 0.08 | 0.00 | 0.14 | 0.05 | 0.00 | 0.14 | 0.01* |
2 g |  |  | 2.0 | 0.33 | 0.46 | 0.37 | 0.00 | 0.46 | 0.24 | 0.00 | 0.31 | 0.09* |
2 h |  |  | 5.0 | 1.00 | 0.99 | 1.00 | 0.98 | 1.00 | 1.00 | 0.09 | 1.00 | 0.99* |