Table 4.
Analysis 1b models. (a) Fit information for compared models. (AICc – AIC corrected, K – degrees of freedom, Δ – change in AICc, W – relative weight of evidence for model among compared models, E – ratio of evidence for model in comparison to the most likely model). (b) Maximum likelihood model comparison. Each model is compared to the one immediately above it using Chi square test of log likelihoods.
| (a) | |||||
|---|---|---|---|---|---|
| Model | K | AICc | Δ | W | E |
| quadratic | 36 | 56299.94 | 0 | .95 | 1 |
| cubic | 44 | 56305.73 | 5.79 | .05 | 18.11 |
| quartic | 52 | 56313.8 | 13.85 | 0 | 1019.13 |
| slope | 28 | 56316.59 | 16.65 | 0 | 4123.91 |
| intercept | 20 | 56348.08 | 48.13 | 0 | 2.83 * 1010 |
| base | 12 | 67505.45 | 11205.51 | 0 | ∞ |
| (b) | |||||||
|---|---|---|---|---|---|---|---|
| Model | df | AIC | logLik | χ2 | df | p | |
| base | 12 | 67505 | −33741 | ||||
| intercept | 20 | 56348 | −28154 | 11173.44 | 8 | 2.2 * 10−16 | *** |
| slope | 28 | 56316 | −28130 | 47.59 | 8 | 1.18 * 10−7 | *** |
| quadratic | 36 | 56300 | −28114 | 32.79 | 8 | 6.73 * 10−5 | *** |
| cubic | 44 | 56305 | −28109 | 10.38 | 8 | 0.24 | |
| quartic | 52 | 56313 | −28105 | 8.15 | 8 | 0.42 | |