Table 3.
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 GoM Generating Model.
| Study condition | GoM | LCA AIC | LCA BIC |
|---|---|---|---|
| Sample size | |||
| 200 | 3.3 | 2.8 | 2.1 |
| 400 | 3.4 | 3.5 | 2.4 |
| 800 | 3.5 | 3.7 | 2.6 |
| 1,600 | 3.7 | 3.8 | 3.1 |
| Group size ratio | |||
| 0.25/0.25/0.25/0.25 | 3.7 | 3.9 | 2.9 |
| 0.4, 0.2, 0.2, 0.2 | 3.5 | 3.7 | 2.8 |
| 0.7/0.1, 0.1, 0.1 | 3.4 | 3.2 | 2.4 |
| 0.91/0.03/0.03/0.03 | 3.3 | 2.6 | 2.2 |
| Difference in conditional item response probability | |||
| 0.3 | 3.6 | 3.6 | 3 |
| 0.2 | 3.4 | 3.5 | 2.5 |
| 0.1 | 3.4 | 3.3 | 2.2 |
Note. GoM = grade of membership; LCA = latent class analysis; AIC = Akaike information criterion; BIC = Bayesian information criterion.