Table 3.
Model Selection Rates of 20 GMMs Fitted to 100 Bootstrap Samples From a Subset of the NLSY
| model | key features |
n classes |
n param |
selection rate BIC |
converg rate |
mean BIC | sd BIC |
|---|---|---|---|---|---|---|---|
| 1 | no random effects |
2 | 12 | 0.000 | 1.00 | 8032.703 | 159.7806 |
| 2 | 3 | 19 | 0.000 | 1.00 | 7894.484 | 158.7380 | |
| 3 | 4 | 26 | 0.000 | 0.98 | 7845.655 | 157.3442 | |
| 4 | 5 | 33 | 0.001 | 0.92 | 7830.026 | 154.1123 | |
| 5 | random intercept |
2 | 14 | 0 | 0.86 | 7876.661 | 161.6511 |
| 6 | 3 | 22 | 0.002 | 0.92 | 7822.524 | 161.3376 | |
| 7 | 4 | 30 | 0.009 | 0.83 | 7806.706 | 161.3829 | |
| 8 | random intercept & linear slope |
2 | 18 | 0.002 | 0.77 | 7824.691 | 151.1699 |
| 9 | 3 | 28 | 0.008 | 0.55 | 7773.826 | 147.2956 | |
| 10 | 4 | 38 | 0.003 | 0.52 | 7822.893 | 149.8097 | |
| 11 | full random effects | 2 | 24 | 0 | 0.77 | 7832.977 | 153.7616 |
| 12 | 3 | 37 | 0.002 | 0.47 | 7848.165 | 151.3798 | |
| 13 | random intercept, i on X |
2 | 20 | 0.159 | 0.98 | 7785.352 | 154.8668 |
| 14 | 3 | 31 | 0.101 | 0.79 | 7812.968 | 157.4791 | |
| 15 | 4 | 42 | 0.008 | 0.52 | 7823.341 | 148.0612 | |
| 16 | random intercept & linear slope, i on X |
2 | 24 | 0.478 | 0.89 | 7761.509 | 154.7056 |
| 17 | 3 | 37 | 0.076 | 0.58 | 7791.234 | 162.0160 | |
| 18 | 4 | 50 | 0 | 0.31 | 7792.152 | 143.6079 | |
| 19 | full random effects, i on X |
2 | 30 | 0.150 | 0.85 | 7794.638 | 153.0162 |
| 20 | 3 | 46 | 0 | 0.34 | 7852.469 | 147.1468 |
Note: All models were quadratic growth mixture models. Random effects were always estimated with class-specific variance. Abbreviations: n classes = number of classes, n param = number of estimated parameters, converg rate = convergence rate, mean BIC = Bayesian Information Criterion averaged over 100 bootstrap samples, sd BIC = the standard deviation of the BIC over 100 bootstrap samples, I on X = class specific regression of the intercept factor on the covariates.