Official Journal of the Japan Wood Research Society
Model formula | Random effect | AIC for each wood property trait | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
β0 | β1 | β2 | b0j | b1j | b2j | TL | MFA | BD | AD | MOE | MOR | W | CS | |
Ia:\(y_{ij} = \beta_{1} + e_{ij}\) | ✓ | 361 | 1105 | − 1589 | − 458 | 588 | 1178 | 812 | 843 | |||||
Ib:\(y_{ij} = \beta_{0} x_{ij} + \beta_{1} + e_{ij}\) | ✓ | ✓ | 67 | 1044 | − 1925 | − 528 | 538 | 1172 | 813 | 840 | ||||
Ic:\(y_{ij} = \beta_{0} x_{ij} + \beta_{1} + b_{1j} + e_{ij}\) | ✓ | ✓ | ✓ | 105 | 1081 | − 1977 | − 539 | 505 | 1144 | 802 | 758 | |||
Id:\(y_{ij} = \left( {\beta_{0} + b_{0j} } \right)x_{ij} + \beta_{1} + e_{ij}\) | ✓ | ✓ | ✓ | 367 | 1026 | − 1954 | − 582 | 508 | 1148 | 815 | 795 | |||
Ie:\(y_{ij} = \left( {\beta_{0} + b_{0j} } \right)x_{ij} + \beta_{1} + b_{1j} + e_{ij}\) | ✓ | ✓ | ✓ | ✓ | 104 | 1019 | − 1975 | − 584 | 503 | 1149 | 806 | 765 | ||
IIa:\(y_{ij} = \frac{{\beta_{0} x_{ij} }}{{\beta_{1} + x_{ij} }} + \beta_{2} + e_{ij}\) | ✓ | ✓ | ✓ | − 55 | 1004 | − 2097 | − 534 | 523 | 1168 | – | – | |||
IIb:\(y_{ij} = \frac{{\beta_{0} x_{ij} }}{{\beta_{1} + x_{ij} }} + \beta_{2} + b_{2j} + e_{ij}\) | ✓ | ✓ | ✓ | ✓ | − 74 | 888 | − 2282 | − 617 | 425 | – | – | – | ||
IIc:\(y_{ij} = \frac{{\beta_{0} x_{ij} }}{{(\beta_{1} + b_{1j} ) + x_{ij} }} + \beta_{2} + e_{ij}\) | ✓ | ✓ | ✓ | ✓ | − 85 | 999 | − 2255 | – | 520 | – | – | – | ||
IId:\(y_{ij} = \frac{{\left( {\beta_{0} + b_{0k} } \right) x_{ij} }}{{\beta_{1} + x_{ij} }} + \beta_{2} + e_{ij}\) | ✓ | ✓ | ✓ | ✓ | − 71 | – | − 2274 | − 429 | 423 | – | – | – |