Table 2.
Parameter estimates for modeling intervention effects in the Building Blocks data
| Parameter | Notation | Est. | SE | p |
|---|---|---|---|---|
| Growth Trajectory Fixed Effects | ||||
| Intercept | γ 000 | −2.99 | 0.07 | <.01 |
| Maximum | γ 100 | 1.41 | 0.12 | <.01 |
| Change Offset | γ 200 | 4.78 | 0.13 | <.01 |
| Intervention Fixed Effects | ||||
| Intercept on Intervention | γ 001 | 0.01 | 0.07 | .86 |
| Maximum on Intervention | γ 101 | −0.19 | 0.12 | .13 |
| Change Offset on Intervention | γ 201 | −0.74 | 0.13 | <.01 |
| School-Level Random Effects | ||||
| Intercept Variance | v 00 | 0.06 | 0.01 | <.01 |
| Maximum Variance | v 11 | 0.11 | 0.05 | .01 |
| Change Offset Variance | v 22 | 0.16 | 0.06 | <.01 |
| Int., Max. Correlation | Corr(r00 j, r10 j) | 0.89 | 0.13 | <.01 |
| Int., Offset Correlation | Corr(r00 j, r20 j) | 0.62 | 0.19 | <.01 |
| Max, Offset Correlation | Corr(r10 j, r20 j) | 0.41 | 0.27 | .15 |
| Person-Level Random Effects | ||||
| Intercept Variance | τ 00 | 0.41 | 0.02 | <.01 |
| Maximum Variance | τ 11 | 0.81 | 0.04 | <.01 |
| Offset Variance | τ 22 | 0.92 | 0.09 | <.01 |
| Int., Max. Correlation | Corr(u0ij, u1ij) | 0.75 | 0.02 | <.01 |
| Int., Offset Correlation | Corr(u0ij, u2ij) | 0.67 | 0.04 | <.01 |
| Max, Offset Correlation | Corr(u1ij, u2ij) | 0.78 | 0.03 | <.01 |
| Within-Person Residual Variance | ||||
| Residual Variance | σ 2 | 0.22 | 0.01 | <.01 |
Note: p-values are obtained from a t-distribution with Donald and Lang (2007) degrees of freedom, which is equal to the number of units at the highest level of the hierarchy (42 schools) minus the number of estimated parameters (19), which is 23.