Table 2.
4D PCA results for MAGMA.
| Method | PC4(1) | PC4(2) | PC4(3) | PC4(4) | PC4 | PC4 | PC3 | PC1 + PC2 |
|---|---|---|---|---|---|---|---|---|
| 12 + log(O/H) | log | log | log(x) | std. dev. | proportion of variance | |||
| (PP04N2) | (Mstar/M⊙) | (SFR/M⊙ yr−1) | ||||||
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) |
| x = MHI/M⊙ | ||||||||
| PCA | 0.920 | −0.355 | 0.164 | 0.019 | 0.127 | 0.010 | 0.051 | 0.94 |
| PPCA | 0.95 ± 0.01 | −0.29 ± 0.03 | 0.11 ± 0.03 | −0.01 ± 0.01 | 0.14 | 0.01 | ||
| BSPCA | 0.92 ± 0.01 | −0.36 ± 0.03 | 0.16 ± 0.03 | 0.02 ± 0.02 | 0.13 | 0.01 | ||
| x = MH2/M⊙ | ||||||||
| PCA | 0.913 | −0.378 | 0.133 | 0.079 | 0.124 | 0.010 | 0.051 | 0.94 |
| PPCA | 0.94 ± 0.01 | −0.31 ± 0.03 | 0.09 ± 0.03 | 0.05 ± 0.02 | 0.14 | 0.01 | ||
| BSPCA | 0.91 ± 0.02 | −0.38 ± 0.03 | 0.13 ± 0.03 | 0.08 ± 0.04 | 0.12 | 0.01 | ||
| x = Mgas/M⊙ | ||||||||
| PCA | 0.917 | −0.366 | 0.153 | 0.048 | 0.126 | 0.011 | 0.054 | 0.94 |
| PPCA | 0.95 ± 0.01 | −0.24 ± 0.02 | 0.13 ± 0.02 | −0.09 ± 0.03 | 0.14 | 0.02 | ||
| BSPCA | 0.91 ± 0.02 | −0.37 ± 0.03 | 0.16 ± 0.03 | 0.05 ± 0.03 | 0.13 | 0.01 | ||
x =  /K km s−1 pc2 |
||||||||
| PCA | 0.955 | −0.185 | 0.181 | −0.147 | 0.117 | 0.007 | 0.027 | 0.97 |
| PPCA | 0.97 ± 0.01 | −0.16 ± 0.04 | 0.13 ± 0.02 | −0.13 ± 0.03 | 0.13 | 0.01 | ||
| BSPCA | 0.95 ± 0.01 | −0.18 ± 0.04 | 0.18 ± 0.03 | −0.15 ± 0.02 | 0.12 | 0.01 | ||
| Method | PC4(1) | PC4(2) | PC4(3) | PC4(4) | PC4 | PC4 | PC3 | PC1 + PC2 |
| 12 + log(O/H) | log | log | log | std. dev. | variance | variance | variance | |
| (KD02) | (Mstar/M⊙) | (SFR/M⊙ yr−1) | (MH2/M⊙) (a) | |||||
| PCA | 0.86 | −0.45 | 0.22 | 0.03 | 0.153 | 0.014 | 0.048 | 0.95 |
| PPCA | 0.92 ± 0.02 | −0.37 ± 0.04 | 0.15 ± 0.04 | 0.02 ± 0.02 | 0.17 | 0.02 | ||
| BSPCA | 0.86 ± 0.03 | −0.45 ± 0.04 | 0.22 ± 0.04 | 0.03 ± 0.03 | 0.15 | 0.01 | ||
Notes. In PCA, the relative signs of the PCs are arbitrary, thus we used the same conventions for all; this has no bearing on the inversion of the equation of the PC with the least variance. Column (6) reports the standard deviation of PC4 around the hyperplane, and Cols. (7)–(9) give the proportion of sample variance contained in PC4, PC3, and the sum of PC1 + PC2, respectively.
Here MH2 was calculated with αCO according to the exponential formulation of Wolfire et al. (2010) and Bolatto et al. (2013), using the KD02 metallicities.
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