Table 1.
Relation types | PMI(X;Y|Z) | CMI(X;Y|Z) | PC(X;Y|Z) | PS(X;Y|Z) |
X⊥Z | ||||
Linear | 1.03* | 0.95* | 1* | 0.98* |
Quadratic | 0.57* | 0.52* | 0.03 | 0.04 |
Cubic | 1.27* | 1.23* | 1* | 1* |
Sinusoidal | 0.88* | 0.83* | 0.78* | 0.78* |
Exponential | 0.89* | 0.80* | 0.98* | 0.96* |
Checkerboard | 0.43* | 0.42* | 0.37* | 0.37* |
Circular | 0.35* | 0.30* | 0.02 | 0.02 |
Cross-shaped | 0.62* | 0.61* | 0.03 | 0.03 |
Sigmoid | 0.73* | 0.69* | 0.99* | 0.96* |
Random | 0.08 | 0.08 | 0.03 | 0.03 |
X ≈ Z | ||||
Linear | 2.20* | 0.03* | 1.0* | 0.88* |
Quadratic | 1.28* | 0.01 | 0.03 | 0.04 |
Cubic | 1.60* | 0.02 | 0.11* | 0.87* |
Sinusoidal | 1.33* | 0.01 | 0.03 | 0.02 |
Exponential | 1.30* | 0.01 | 0.06* | 0.12* |
Checkerboard | 0.37* | 0.02 | 0.03 | 0.02 |
Circular | 0.89* | 0.01 | 0.03 | 0.03 |
Cross-shaped | 1.16* | 0.02* | 0.02 | 0.02 |
Sigmoid | 1.38* | 0.01 | 0.06 | 0.57* |
Random | 0.26 | 0.01 | 0.02 | 0.03 |
PS(X;Y|Z) is the partial spearman correlation of X and Y given Z. Asterisks indicate statistically significant P values (see SI Appendix, Tables S2 and S3).