Table 1.
Model Performance in Simulation Examples
| Simulated data |
Ḡ |
P̄ |
L̄ |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Model | Simulation scheme | FA | LA | HA–Bin | Mix | FA | LA | HA–Bin | Mix | FA | LA | HA–Bin | Mix |
| 1(a) | FA | 50.1 | 57.3 | 51.4 | 53.6 | 55.1 | 68.2 | 57.8 | 57.1 | 105.2 | 125.5 | 109.2 | 110.7 |
| LA | 23.1 | 17.9 | 18.1 | 18.9 | 37.8 | 20.7 | 25.8 | 30.6 | 60.9 | 38.6 | 43.9 | 49.5 | |
| HA–Bin | 44.2 | 43.7 | 29.5 | 31.5 | 39.9 | 38.7 | 31.6 | 35.1 | 84.1 | 82.4 | 61.1 | 66.6 | |
| Mix | 62.7 | 58.6 | 53.1 | 50.2 | 69.4 | 68.7 | 63.8 | 64.9 | 132.1 | 127.3 | 116.9 | 115.1 | |
| 1(c) | FA | 51.1 | 64.1 | 52.2 | 51.9 | 53.9 | 59.8 | 55.8 | 57.4 | 105.0 | 123.9 | 108.0 | 109.3 |
| LA | 27.7 | 19.5 | 19.8 | 19.7 | 27.5 | 21.6 | 24.0 | 24.4 | 55.2 | 41.1 | 43.8 | 44.1 | |
| HA–Bin | 45.5 | 43.9 | 35.8 | 35.9 | 48.6 | 40.0 | 36.5 | 39.3 | 94.1 | 83.9 | 72.3 | 75.2 | |
| Mix | 49.8 | 49.5 | 43.7 | 43.4 | 62.3 | 60.8 | 59.3 | 60.1 | 112.1 | 110.3 | 103.0 | 103.5 | |
| 1(d) | FA | 71.6 | 72.7 | 72.0 | 71.2 | 68.7 | 83.1 | 70.7 | 78.1 | 140.3 | 155.8 | 142.7 | 149.3 |
| LA | 26.7 | 18.5 | 20.3 | 20.5 | 35.5 | 22.7 | 26.5 | 26.1 | 62.2 | 41.2 | 46.8 | 46.6 | |
| HA–Bin | 43.7 | 47.8 | 29.6 | 33.5 | 43.5 | 43.3 | 31.3 | 35.6 | 87.2 | 91.1 | 60.9 | 68.1 | |
| Mix | 67.3 | 69.8 | 60.6 | 61.9 | 86.9 | 91.7 | 82.3 | 80.6 | 154.2 | 161.5 | 142.9 | 142.5 | |
| 2 | FA | 45.9 | 53.4 | 48.0 | 48.6 | 55.9 | 67.4 | 58.8 | 61.1 | 101.8 | 120.8 | 106.8 | 109.7 |
| LA | 31.6 | 25.1 | 26.1 | 25.2 | 34.4 | 29.9 | 35.1 | 34.5 | 66.0 | 55.0 | 61.2 | 59.7 | |
| HA–Bin | 59.7 | 62.6 | 47.6 | 49.5 | 69.4 | 69.6 | 60.6 | 63.5 | 129.1 | 132.2 | 108.2 | 113.0 | |
| Mix | 57.8 | 56.2 | 46.0 | 46.2 | 67.5 | 65.5 | 63.4 | 60.5 | 125.3 | 121.7 | 109.4 | 106.7 | |
NOTE: The first and second columns denote the underlying model and mechanism that generated the data. The remaining columns show means of goodness of fit (Ḡ), the penalty (P̄), and the L measure (L̄) under first-, last-, and hierarchical-activation schemes. The cells with the lowest means for each measure are highlighted.