Table 3.
Fit Statistics for Latent Profile Analysis of Teacher-Student Interactional Quality
| Number of classes | npar | Log likelihood | BIC | ABIC | CAIC | AWE | VLMR-LRT p | Entrop y | BF | cmP | Class Prevalence |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 24 | −5445.09 | 11029.60 | 10953.51 | 11053.64 | 11241.10 | - | - | <.00 | <.00 | 1 |
| 2 | 37 | −4664.94 | 9544.89 | 9427.53 | 9581.89 | 9870.91 | .014 | .92 | <.00 | <.00 | .41, .59 |
| 3 | 50 | −4403.17 | 9096.90 | 8938.30 | 9146.90 | 9537.46 | .120 | .90 | <.00 | <.00 | .25, .31, .44 |
| 4 | 63 | −4299.77 | 8965.64 | 8765.79 | 9028.64 | 9520.74 | .372 | .91 | <.00 | <.00 | .06, .23, .34, .37 |
| 5 | 76 | −4216.05 | 8873.75 | 8632.67 | 8949.75 | 9543.40 | .266 | .91 | <.00 | <.00 | .06, .08, .23, .31, .32 |
| 6 | 89 | −4165.70 | 8848.59 | 8566.27 | 8937.59 | 9632.78 | .740 | .89 | <.00 | 1.00 | .06, .09, .13, .16, .28, .29 |
Note. npar = number of parameters. BIC = Bayesian Information Criterion. ABIC = sample size adjusted BIC. CAIC = constant Akaike information criterion. AWE = approximate weight of equivalence. VLMR-LRT p = p-value of Vuong Lo Mendel Rubin likelihood ratio test. BF = bayes factor. cmP = correct model probability. Bolded values indicate preferred model for a given fit index.