Table 4.
Mean Number of Extreme Latent Profiles by Total Sample Size, Difference in Conditional Item Endorsement Probability, Group Size Ratio, and Estimation Method: Four Extreme Latent Profiles With LCA Generating Model.
| Study condition | GoM | LCA AIC | LCA BIC |
|---|---|---|---|
| Sample size | |||
| 200 | 4.2 | 3.9 | 3.9 |
| 400 | 4.2 | 3.9 | 3.9 |
| 800 | 4.3 | 4.1 | 4.0 |
| 1,600 | 4.4 | 4.0 | 4.0 |
| Group size ratio | |||
| 0.25/0.25/0.25/0.25 | 4.1 | 4.0 | 4.0 |
| 0.4, 0.2, 0.2, 0.2 | 4.2 | 4.1 | 4.0 |
| 0.7/0.1, 0.1, 0.1 | 4.3 | 4.0 | 3.9 |
| 0.91/0.03/0.03/0.03 | 4.4 | 4.1 | 4.0 |
| Difference in conditional item response probability | |||
| 0.3 | 4.3 | 4.0 | 4.0 |
| 0.2 | 4.2 | 4.1 | 4.0 |
| 0.1 | 4.1 | 3.9 | 3.9 |
Note. GoM = grade of membership; LCA = latent class analysis; AIC = Akaike information criterion; BIC = Bayesian information criterion.