Table 3.
Model summary.
Model ID | N. par. | DOF | Δrms [″] |
![]() |
BIC | AICc | Description |
---|---|---|---|---|---|---|---|
No-foreground | 14 | 52 | 0.87 | 103 | 281 | 257 | Foreground galaxies are not included |
Reference | 14 | 52 | 0.75 | 80 | 242 | 220 | Foreground galaxies included in member scalings |
Two-scalings | 16 | 50 | 0.75 | 79 | 249 | 226 | Foreground galaxies with different scaling relations |
Free-scaling | 16 | 50 | 0.74 | 80 | 250 | 226 | Member scaling relation slopes, α and γ, are free |
External-shear | 16 | 50 | 0.75 | 80 | 250 | 226 | Same as reference plus external shear |
3-PIEMD-circ. | 18 | 48 | 0.72 | 52 | 231 | 206 | Third smooth component with zero ellipticity |
3-PIEMD | 20 | 46 | 0.69 | 48 | 235 | 210 | Three smooth components |
Models with B-spline perturbation | |||||||
PertBS-3-1DM | 21 | 45 | 1.26 | 208 | 369 | 349 | – |
PertBS-4-1DM | 28 | 38 | 1.28 | 241 | 462 | 444 | – |
PertBS-5-1DM | 37 | 29 | 1.09 | 197 | 455 | 475 | – |
PertBS-2-2DM | 22 | 44 | 0.69 | 63 | 259 | 234 | – |
PertBS-3-2DM | 27 | 39 | 0.53 | 35 | 252 | 232 | – |
PertBS-4-2DM | 34 | 32 | 0.50 | 27 | 273 | 275 | – |
PertBS-5-2DM | 43 | 23 | 0.41 | 22 | 306 | 384 | – |
Notes. For each model, we present the number of free parameters (N. par.), the number of degrees of freedom (d.o.f.), the root-mean-square difference between the model predicted and observed multiple image positions (Δrms), the minimum χ2, the BIC and AICc values, and a short description of the model parameterisation.
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