Table 4.
Summary of Monte Carlo (MC) Results from the Conditions where the True Model Was the HI EALT Model
| True Model | Predetermined ALT | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Fitted Model | Predetermined ALT | Ongoing EALT | HI EALT | |||||||
| N | ||||||||||
| Statistics | True | 100 | 500 | 1000 | 100 | 500 | 1000 | 100 | 500 | 1000 |
| ρ | ||||||||||
| M | 0.50 | 0.51 | 0.50 | 0.50 | 0.92 | 0.92 | 0.50 | 0.50 | 0.50 | |
| SD/ASE | 0.09/0.08 | 0.04/0.04 | 0.03/0.03 | 0.04/0.08 | 0.01/0.06 | 0.03/0.03 | 0.01/0.01 | 0.01/0.01 | ||
| μα | ||||||||||
| M | 2.00 | 2.06 | 2.01 | 2.00 | 6.19 | 6.18 | 2.02 | 2.00 | 2.00 | |
| SD/ASE | 0.46/0.44 | 0.19/0.19 | 0.14/0.14 | 0.25/0.41 | 0.10/0.29 | 0.14/0.14 | 0.06/0.06 | 0.04/0.04 | ||
| μβ | ||||||||||
| M | 4.00 | 3.93 | 3.99 | 4.00 | 0.55 | 0.52 | 3.99 | 3.99 | 4.00 | |
| SD/ASE | 0.55/0.54 | 0.24/0.24 | 0.17/0.17 | 0.26/0.52 | 0.05/0.37 | 0.18/0.19 | 0.09/0.08 | 0.06/0.06 | ||
| M | 1.00 | 1.01 | 1.00 | 1.00 | 2.83 | 2.75 | 1.00 | 1.00 | 1.00 | |
| SD/ASE | 0.14/0.14 | 0.06/0.06 | 0.04/0.04 | 0.26/0.31 | 0.13/0.21 | 0.08/0.09 | 0.04/0.04 | 0.03/0.03 | ||
| M | 1.00 | 0.99 | 0.99 | 1.01 | 1.89 | 1.99 | 1.00 | 0.99 | 1.00 | |
| SD/ASE | 0.46/0.45 | 0.20/0.20 | 0.15/0.14 | 0.32/0.37 | 0.26/0.26 | 0.24/0.24 | 0.11/0.11 | 0.08/0.07 | ||
| M | 1.00 | 0.97 | 0.99 | 1.00 | 0.02 | 0.01 | 0.99 | 0.99 | 1.00 | |
| SD/ASE | 0.32/0.31 | 0.14/0.14 | 0.10/0.10 | 0.01/0.03 | 0.00/0.02 | 0.17/0.17 | 0.08/0.08 | 0.05/0.05 | ||
| σα,β | ||||||||||
| M | 0.30 | 0.31 | 0.30 | 0.30 | 0.18 | 0.17 | 0.30 | 0.30 | 0.30 | |
| SD/ASE | 0.20/0.20 | 0.09/0.09 | 0.06/0.07 | 0.07/0.17 | 0.02/0.12 | 0.13/0.13 | 0.06/0.06 | 0.04/0.04 | ||
| μ1 | ||||||||||
| M | 2.00 | 2.02 | 2.00 | 2.00 | ||||||
| SD/ASE | 0.14/0.14 | 0.06/0.06 | 0.04/0.04 | |||||||
| M | 2.00 | 2.00 | 2.00 | 2.00 | ||||||
| SD/ASE | 0.28/0.28 | 0.13/0.13 | 0.09/0.09 | |||||||
| σ1,α | ||||||||||
| M | 1.00 | 0.98 | 0.99 | 1.00 | ||||||
| SD/ASE | 0.28/0.28 | 0.12/0.12 | 0.09/0.09 | |||||||
| σ1,β | ||||||||||
| M | 0.30 | 0.30 | 0.30 | 0.30 | ||||||
| SD/ASE | 0.16/0.16 | 0.07/0.07 | 0.05/0.05 | |||||||
| P(No Conv) | 0.00% | 0.00% | 0.00% | 91.00% | 99.80% | 100.00% | 0.00% | 0.00% | 0.00% |
| M(χ2)/df | 9.32/9 | 8.97/9 | 8.97/9 | 203.67/13 | 992.77/13 | 13.50/13 | 13.09/13 | 13.12/13 | |
| M(CFI) | 1.00 | 1.00 | 1.00 | .75 | .75 | 1.00 | 1.00 | 1.00 | |
| M(RMSEA) | 0.03 | 0.01 | 0.01 | 0.38 | 0.39 | 0.03 | 0.01 | 0.01 | |
| M(SRMR) | 0.03 | 0.01 | 0.01 | 0.16 | 0.13 | 0.04 | 0.02 | 0.01 | |
| M(AIC) | 1877.83 | 9337.94 | 18673.09 | 2073.13 | 10377.04 | 1874.02 | 9334.06 | 18669.24 | |
| M(BIC) | 1906.49 | 9384.30 | 18727.07 | 2091.36 | 10406.54 | 1892.25 | 9363.56 | 18703.59 | |
| M(SABIC) | 1871.75 | 9349.38 | 18692.14 | 2069.26 | 10384.32 | 1870.15 | 9341.34 | 18681.36 |
(E) ALT stands for (Endogenous) Autoregressive Latent Trajectory models; HI means History-Independent. P(No Conv) represents the proportion of 500 MC runs that showed non-convergence. All estimates shown in the table were based on the convergent trials. Fit indices used are the chi-squared values (χ2) with degrees of freedom (df), the comparative fit index (CFI), Root Mean Square Error of Approximation (RMSEA), Standardized Root Mean Square Residual (SRMR), Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and sample-size adjusted BIC (SABIC). M, SD, and ASE are the mean, standard deviation, and average standard error estimates across MC runs.