Table 2.
Model 1 | Model 2 | Model 3 | ||||
---|---|---|---|---|---|---|
Coefficient | S.E. | Coefficient | S.E. | Coefficient | S.E. | |
Level-1 intercept | ||||||
Age | −0.408 | 0.043*** | −0.391 | 0.043*** | 0.130 | 0.135 |
Age square | 0.031 | 0.002*** | 0.031 | 0.002*** | 0.010 | 0.006 |
Waves of survey (the wave of 1993 as the reference group) | ||||||
The 1997 wave | 0.345 | 0.104** | 0.342 | 0.102** | 0.355 | 0.102*** |
The 2000 wave | 0.785 | 0.154*** | 0.731 | 0.149*** | 0.727 | 0.149*** |
The 2004 wave | 1.124 | 0.259*** | 1.063 | 0.251*** | 1.035 | 0.251*** |
The 2006 wave | 0.340 | 0.347 | 0.275 | 0.338 | 0.220 | 0.338 |
Male | 0.204 | 0.086* | 0.917 | 0.343** | ||
High-income families | 0.315 | 0.115** | −1.413 | 0.460** | ||
Parental years of schooling | −0.034 | 0.015* | 0.108 | 0.060 | ||
Urban China | 0.168 | 0.117 | −1.097 | 0.472* | ||
Southern China | −0.585 | 0.102*** | 1.401 | 0.406** | ||
Eastern & Middle China | 0.577 | 0.106*** | 1.396 | 0.429** | ||
Intercept | 16.909 | 0.201*** | 16.829 | 0.265*** | 14.118 | 0.693 |
Level-1 slope | ||||||
Male | −0.124 | 0.068 | ||||
High-income families | 0.290 | 0.091** | ||||
Parental years of schooling | −0.031 | 0.012** | ||||
Urban China | 0.269 | 0.094** | ||||
Southern China | −0.364 | 0.082*** | ||||
Eastern & Middle China | −0.145 | 0.085 | ||||
Level-1 acceleration | ||||||
Male | 0.004 | 0.003 | ||||
High-income families | −0.009 | 0.004* | ||||
Parental years of schooling | 0.001 | 0.001** | ||||
Urban China | −0.012 | 0.004** | ||||
Southern China | 0.013 | 0.004*** | ||||
Eastern & Middle China | 0.005 | 0.004*** | ||||
τ11 (age) | 0.278 | 0.062*** | 0.284 | 0.063*** | 0.221 | 0.060*** |
τ22 (age square) | 0.001 | 0.000*** | 0.001 | 0.000*** | 0.001 | 0.000*** |
τ00 (intercept) | 3.944 | 1.434*** | 4.581 | 1.472*** | 3.079 | 1.371*** |
τ21 (age, age square) | −0.012 | 0.003*** | −0.012 | 0.003*** | −0.010 | 0.003*** |
τ10 (age, intercept) | −0.918 | 0.293** | −1.025 | 0.298*** | −0.723 | 0.281* |
τ20 (age square, intercept) | 0.038 | 0.013** | 0.042 | 0.013** | 0.031 | 0.012* |
(residual) | 3.284 | 0.116*** | 3.295 | 0.117*** | 3.310 | 0.117*** |
Note: Statistical significance:
p < 0.05;
p<0.01;
p<0.001 (two-tailed tests);
For the Model 1 in Table 1, the unexplained variance σ2 is 4.394 (.111) in the absence of random effects in slope and acceleration and 6.454 (.133) in the absence of any random effects.