Table 3. Fit Statistics for Successive Latent Class Models.
| Model | AIC | Adjusted BIC |
BIC | BLRT p value |
LMR LRT p value |
Entropy | Error Message |
|---|---|---|---|---|---|---|---|
| Without Covariate | |||||||
| One Class | 2769.95 | 2774.06 | 2786.76 | - | - | - | no |
| Two Class | 2443.51 | 2450.71 | 2472.92 | <.001 | <.001 | 0.78 | no |
| Three Class | 2306.83 | 2317.11 | 2348.85 | <.001 | <.001 | 0.90 | no |
| Four Class | 2291.95 | 2395.32 | 2346.58 | <.001 | <.01 | 0.84 | no |
| Five Class | 2275.31 | 2291.76 | 2342.55 | <.001 | 0.44 | 0.84 | no |
| Six Class | 2212.11 | 2231.65 | 2291.96 | <.001 | <.001 | 0.88 | no |
| Seven Class | -41.47 | -18.84 | 50.99 | <.001 | .91 | 0.99 | yes |
|
| |||||||
| With Covariate | |||||||
| Five Class | 2244.06 | 2263.60 | 2323.90 | <.001 | 0.23 | 0.85 | no |
| Six Class | 2185.30 | 2207.93 | 2277.76 | <.001 | <.05 | 0.87 | no |
| Seven Class | 2165.64 | 2191.35 | 2270.70 | <.001 | 0.10 | 0.88 | yes |
Note. AIC = Akaike Information Criterion; BIC = Bayesian Information Criterion; BLRT = Bootstrapped Likelihood Ratio Test; LMR LRT = Lo–Mendell–Rubin Likelihood Ratio Test. Child sex was subsequently included as a covariate with direct effects on the indicators, i.e., Perceived Mom and Dad Achievement Emphases, improving the overall fit of the model.