Table 5:
SIM1 Fit Statistic Quantiles and Median Ranks with No True Model (N = 1000)
| Models: | Extra Parameters | Dropped Loadings | Dropped and Extra | Dropped β Only | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| M6 | M8 | M9 | M2 | M3 | M4 | M5 | M7 | M11 | M12 | M10 | ||
| BIC | ||||||||||||
| Median | 6.47 | 6.43 | 12.44 | 19.82 | 30.30 | 74.58 | 26.53 | 262.62 | 515.62 | 9.34 | 405.62 | |
| IQR | 1.14 | 1.27 | 2.29 | 14.31 | 17.69 | 26.02 | 17.52 | 47.65 | 66.96 | 5.05 | 56.23 | |
| Median Rank | 2 | 2 | 4 | 5 | 7 | 8 | 6 | 9 | 11 | 3 | 10 | |
| HBIC | ||||||||||||
| Median | 4.64 | 4.59 | 8.76 | 21.66 | 33.97 | 80.09 | 28.36 | 262.62 | 522.97 | 7.50 | 409.29 | |
| IQR | 1.14 | 1.27 | 2.29 | 14.31 | 17.69 | 26.02 | 17.52 | 47.65 | 66.96 | 5.05 | 56.23 | |
| Median Rank | 2 | 2 | 4 | 5 | 7 | 8 | 6 | 9 | 11 | 3 | 10 | |
| IBIC | ||||||||||||
| Median | 12.75 | 10.23 | 22.55 | 16.10 | 22.75 | 63.11 | 26.08 | 259.65 | 494.72 | 14.38 | 395.90 | |
| IQR | 1.14 | 1.24 | 2.17 | 14.00 | 17.44 | 25.78 | 17.08 | 47.14 | 65.86 | 4.96 | 56.09 | |
| Median Rank | 3 | 1 | 5 | 4 | 6 | 8 | 6 | 9 | 11 | 3 | 10 | |
| SPBIC | ||||||||||||
| Median | 4.20 | 4.24 | 7.97 | 22.17 | 34.22 | 80.31 | 27.77 | 265.26 | 525.28 | 18.42 | 404.95 | |
| IQR | 1.12 | 1.24 | 2.20 | 14.06 | 17.53 | 25.93 | 17.41 | 46.66 | 66.46 | 5.40 | 55.43 | |
| Median Rank | 1 | 2 | 3 | 5 | 7 | 8 | 6 | 9 | 11 | 5 | 10 | |
Note: Cells report median and interquartile range (IQR) values of the fit statistics across the simulations, with median model ranks below. Lower numbers indicate better fit.