Table 2:
Model comparisons
| Model | Notation | Description | Age encoding | Parameters | Deviance | BIC |
|---|---|---|---|---|---|---|
| M1 | (Intercept only) | Null model | — | 1 | 2001.51 | 36966.50 |
| M2 | S, G, R, A | No interactions | 5th-order polynomial | 13 | 1601.13 | 33281.04 |
| M3 | SG, SR, GR, SA, GA, RA | All two-way interactions | 5th-order polynomial | 63 | 1519.78 | 30322.38 |
| M4 | SGR, SA, GA, RA | One three-way interaction | 5th-order polynomial | 72 | 1520.09 | 30228.41 |
| M5 | GRA, SG, SR, SA | One three-way interaction | 5th-order polynomial | 78 | 1519.26 | 30323.39 |
| M6 | SGA, SR, GR, RA | One three-way interaction | 5th-order polynomial | 78 | 1518.58 | 30130.17 |
| M7 | SRA, SG, GR, GA | One three-way interaction | 5th-order polynomial | 108 | 1520.25 | 29851.11 |
| M8 | SGR, SGA, GRA | Three three-way interactions | 5th-order polynomial | 102 | 1519.16 | 29980.28 |
| M9 | SGR, SRA, GRA | Three three-way interactions | 5th-order polynomial | 132 | 1527.59 | 29538.77 |
| M10 | SGR, SGA, SRA | Three three-way interactions | 5th-order polynomial | 132 | 1535.08 | 29129.07 |
| M11 | SGA, SRA, GRA | Three three-way interactions | 5th-order polynomial | 138 | 1534.65 | 29287.21 |
| M12 | SGR, SGA, SRA, GRA | All three-way interactions | 3rd-order polynomial | 101 | 1516.17 | 30309.65 |
| M13 | SGR, SGA, SRA, GRA | All three-way interactions | 5th-order polynomial | 147 | 1551.24 | 28872.35 |
| M14 | SGR, SGA, SRA, GRA | All three-way interactions | Categorical | 1090 | 1708.46 | 33763.13 |
| M15 | SGRA | Four-way interaction | 5th-order polynomial | 192 | 1559.93 | 28971.68 |
| M16 | SGRA | Saturated model | Categorical | 1504 | 0.00 | — |