Skip to main content
. Author manuscript; available in PMC: 2013 Jan 17.
Published in final edited form as: J Educ Psychol. 2012 Aug;104(3):603–621. doi: 10.1037/a0027571

Table 5.

A. Baseline Models for WJ Math
Term Model 1 Model 2 Model 3
Fixed Effects
Intercept  484.95* 463.18* 459.80*
 Linear --------   10.37*   14.46*
Quadratic -------- --------   −1.15*
Variance Components
Intercept (L2)   0.18   4.99   26.75*
Linear (L2) -------   1.77*   14.45*
Quadratic (L2) ------- -------    0.31
Intercept (L3)   30.46*   86.84*   87.58*
Residual (L1) 302.77*   36.58*   30.16*
Covariance Components
Intercept and Slope ------- −3.35* −22.17*
Intercept and Quadratic ------- ------- 3.44*
Slope and Quadratic ------- ------- −2.06*
B. Baseline Models for WJ Reading
Term Model 1 Model 2 Model 3
Fixed Effects
Intercept 470.89* 437.64* 427.76*
Linear --------   15.87*   31.43*
Quadratic -------- --------   −3.54*
Variance Components
Intercept (L2) 31.39* 47.47* 55.67*
Linear (L2) -------   1.20    14.06*
Quadratic (L2) ------- -------     0
Intercept (L3) 70.54*   201.08*   205.87*
Residual (L1) 765.25*   146.90*   107.70*
Covariance Components
Intercept and Slope ------- −5.28 −16.34
Intercept and Quadratic ------- ------- 1.23
Slope and Quadratic ------- ------- −1.34*

Note. No retention effects were estimated. Model 1 includes an intercept at level 2. Model 2 includes an intercept and linear trend at level 2. Model 3 includes an intercept, linear trend, and quadratic deceleration at level 2. All models estimate the corresponding random variance components at level 2. All models estimate a random variance component at level 3 to account for the matching.

*

p < .05. Time was coded as years and tenths of years elapsed since the initial measurement in first grade (November) which was coded as 0. Tests of fixed effects are two-tailed; tests of variance components are one-tailed since variances must be positive or zero. L1 = level 1, L2 = level 2, L3 = level 3. ------- indicates not estimated. The quadratic variance component at Level 2 was fixed to 0 by the program.