. 2015 Jun 29;112(28):8555–8560. doi: 10.1073/pnas.1410272112

Table 1.

Multilevel models for genuine match score analysis

Model	Level 1 model	Level 2 model
Model A	$y_{i, j k} = φ_{0 i} + ε_{i, j k}$	$φ_{0 i} = β_{00} + b_{0 i}$
Model $B_{T}$	$y_{i, j k} = φ_{0 i} + φ_{1 i} △ T_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + b_{0 i}$ , $φ_{1 i} = β_{10} + b_{1 i}$
Model $B_{A}$	$y_{i, j k} = φ_{0 i} + φ_{1 i} A G E_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + b_{0 i}$ , $φ_{1 i} = β_{10} + b_{1 i}$
Model $B_{Q}$	$y_{i, j k} = φ_{0 i} + φ_{1 i} Q_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + b_{0 i}$ , $φ_{1 i} = β_{10} + b_{1 i}$
Model $C_{G}$	$y_{i, j k} = φ_{0 i} + φ_{1 i} △ T_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + β_{01} b M_{i} + b_{0 i}$ , $φ_{1 i} = β_{10} + β_{11} b M_{i} + b_{1 i}$
Model $C_{R}$	$y_{i, j k} = φ_{0 i} + φ_{1 i} △ T_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + β_{01} b W_{i} + b_{0 i}$ , $φ_{1 i} = β_{10} + β_{11} b W_{i} + b_{1 i}$
Model D	$y_{i, j k} = φ_{0 i} + φ_{1 i} △ T_{i, j k} + φ_{2 i} A G E_{i, j k} + φ_{3 i} Q_{i, j k} + ε_{i, j k}$	$φ_{0 i} = β_{00} + b_{0 i}$ , $φ_{1 i} = β_{10} + b_{1 i}$ , $φ_{2 i} = β_{20} + b_{2 i}$ , $φ_{3 i} = β_{30} + b_{3 i}$
Model E	$\begin{matrix} y_{i, j k} = φ_{0 i} + φ_{1 i} △ T_{i, j k} + φ_{2 i} A G E_{i, j k} + φ_{3 i} Q_{i, j k} \\ + φ_{4 i} △ T_{i, j k} Q_{i, j k} + φ_{5 i} A G E_{i, j k} Q_{i, j k} + ε_{i, j k} \end{matrix}$	$φ_{0 i} = β_{00} + b_{0 i}$ , $φ_{1 i} = β_{10} + b_{1 i}$ , $φ_{2 i} = β_{20} + b_{2 i}$ , $φ_{3 i} = β_{30} + b_{3 i}$ , $φ_{4 i} = β_{40}$ , $φ_{5 i} = β_{50}$