Table 2.
Simulation Study: True Generating Parameters
| Variable (j) | τj,1 | τj,2 | τj,3 | τj,4 | τj,5 | λj,1 | λj,2 | λj,3 | ψj,j |
|---|---|---|---|---|---|---|---|---|---|
| 1 | −1.27 | −0.69 | −0.28 | 0.28 | 1.19 | 0.70 | 0 | 0 | 0.51 |
| 2 | −1.11 | −0.71 | −0.07 | 0.36 | 0.73 | 0.73 | 0 | 0 | 0.47 |
| 3 | −0.74 | −0.39 | −0.03 | 0.24 | 1.15 | 0.73 | 0 | 0 | 0.47 |
| 4 | −1.15 | −0.26 | 0.06 | 0.66 | 1.20 | 0.69 | 0 | 0 | 0.52 |
| 5 | −0.64 | −0.18 | 0.21 | 0.57 | 0.94 | 0 | 0.65 | 0 | 0.54 |
| 6 | −1.17 | −0.54 | −0.23 | 0.47 | 1.15 | 0 | 0.73 | 0 | 0.42 |
| 7 | −1.15 | −0.45 | −0.17 | 0.18 | 0.74 | 0 | 0.73 | 0 | 0.42 |
| 8 | −1.07 | −0.38 | 0.07 | 0.55 | 1.09 | 0 | 0.67 | 0 | 0.51 |
| 9 | −0.80 | −0.45 | −0.07 | 0.22 | 0.52 | 0 | 0 | 0.62 | 0.47 |
| 10 | −1.02 | −0.26 | 0.12 | 0.46 | 1.06 | 0 | 0 | 0.68 | 0.36 |
| 11 | −1.11 | −0.47 | 0.40 | 0.76 | 1.19 | 0 | 0 | 0.76 | 0.20 |
| 12 | −1.07 | −0.18 | 0.10 | 0.37 | 1.10 | 0 | 0 | 0.61 | 0.48 |
Note. For K = 6 categories, τj,m is the mth ordered threshold for variable j. For K = 4, the subset of thresholds is in boldface. For K = 2, the further subset of thresholds is also italicized. λj,p is the loading of the jth variable on the pth factor. ψj,j is unique variance j.