An IERI – International Educational Research Institute Journal
Table 8 Application PISA 2015 Data—Model 1 \({y}_{ij}={\beta }_{0}+ {\tau }_{i}+ {\varepsilon }_{ij}\)
From: Sampling weights in multilevel modelling: an investigation using PISA sampling structures
\(\widehat{{\beta }_{0}}\) | SE \(\widehat{{\beta }_{0}}\) | \(\widehat{{\sigma }_{\varepsilon }^{2}}\) | SE \(\widehat{{\sigma }_{\varepsilon }^{2}}\) | \(\widehat{{\sigma }_{\tau }^{2}}\) | SE \(\widehat{{\sigma }_{\tau }^{2}}\) | |
|---|---|---|---|---|---|---|
SAS | ||||||
No weights | 508.28 | 4.49 | 5426.01 | 118.52 | 4013.66 | 272.93 |
Unscaled weights | 481.80 | 5.41 | 5079.08 | 132.86 | 3940.63 | 284.36 |
Only school weights | 483.83 | 5.37 | 5323.60 | 129.28 | 4042.81 | 331.98 |
Only student weights | 506.42 | 4.54 | 5174.72 | 115.51 | 3936.82 | 236.50 |
Withincluster weights | 484.43 | 5.34 | 5294.40 | 117.54 | 3987.60 | 307.94 |
Scaled weights: cluster | 483.83 | 5.37 | 5323.60 | 129.28 | 4042.81 | 331.98 |
Scaled weights: ECluster | 483.83 | 5.37 | 5323.60 | 129.28 | 4042.81 | 331.98 |
Clustersum | 503.40 | 4.68 | 5451.93 | 121.11 | 4027.00 | 282.90 |
House weights | 507.86 | 4.50 | 5421.13 | 121.32 | 4017.66 | 272.42 |
Mplus | ||||||
No weights | 507.92 | 4.50 | 5412.54 | 117.97 | 4811.59 | 372.69 |
Unscaled weights | 483.67 | 5.34 | 5297.45 | 127.78 | 4865.75 | 454.33 |
Only school weights | 483.57 | 5.37 | 5294.79 | 127.64 | 4860.81 | 456.38 |
Only student weights | 507.81 | 4.50 | 5410.61 | 118.42 | 4818.42 | 373.28 |
Withincluster weights | 483.57 | 5.37 | 5294.79 | 127.64 | 4860.81 | 456.38 |
Scaled weights: cluster | 483.67 | 5.34 | 5297.45 | 127.78 | 4865.75 | 454.33 |
Scaled Weights: ECluster | 483.69 | 5.34 | 5297.98 | 127.86 | 4863.82 | 454.18 |
Clustersum | 504.26 | 4.61 | 5408.24 | 119.54 | 4760.76 | 373.38 |
House weights | 507.92 | 4.50 | 5412.54 | 117.97 | 4811.59 | 372.69 |