TABLE 3.
Tests of profile similarity across Australia and England.
| Log-Likelihood | Free parameters | AIC | CAIC | BIC | SSA-BIC | Entropy | |
| Single-level LPA | |||||||
| Configural | −58082.70 | 109 | 116383.39 | 117264.52 | 117155.52 | 116809.14 | 0.87 |
| Structural (means) | −57975.96 | 84 | 116119.92 | 116798.96 | 116714.96 | 116448.02 | 0.84 |
| Dispersion (means and variances) | −58004.77 | 59 | 116127.55 | 116604.49 | 116545.49 | 116358.00 | 0.86 |
| Distributional (means, variances, probabilities) | −58009.74 | 55 | 116129.49 | 116574.09 | 116519.09 | 116344.31 | 0.86 |
| Predictive similarity | |||||||
| - Unconstrained across country | −56650.91 | 21 | 113343.82 | 113513.13 | 113492.13 | 113425.40 | 0.86 |
| - Constrained across country | −56660.69 | 13 | 113347.38 | 113452.20 | 113439.20 | 113397.89 | 0.86 |
| Explanatory similarity | |||||||
| - Unconstrained across country | −72421.46 | 27 | 144896.92 | 145115.18 | 145088.18 | 145002.38 | 0.88 |
| - Constrained across country | −72548.36 | 17 | 145130.72 | 145268.15 | 145251.15 | 145197.12 | 0.88 |
| Multilevel LPA | |||||||
| Configural | −13739.54 | 19 | 27517.07 | 27670.67 | 27651.67 | 27591.29 | 0.74 |
| Structural (proportion of L1 profiles) | −13750.02 | 11 | 27522.03 | 27610.96 | 27599.96 | 27565.00 | 0.72 |
| Distributional (proportion of L2 profiles) | −13753.72 | 10 | 27527.43 | 27608.27 | 27598.27 | 27564.49 | 0.72 |
| Explanatory similarity | |||||||
| - Unconstrained across country | −13616.73 | 20 | 27273.45 | 27435.13 | 27415.13 | 27351.57 | 0.76 |
| - Constrained across country | −13665.34 | 16 | 27362.68 | 27492.02 | 27476.02 | 27425.18 | 0.76 |
AIC = Akaike Information Criteria. CAIC = Consistent Akaike Information Criteria. BIC = Bayesian Information Criteria. SSA-BIC = sample-size-adjusted Bayesian Information Criteria.