Table 4.
The Descriptive Statistics of the Test Length for the Variable-Length Test.
| Item quality | Stopping rule | PWKL |
MI |
PWACDI |
PWCDI |
||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Maximum | Minimum | M | SD | Maximum | Minimum | M | SD | Maximum | Minimum | M | SD | Maximum | Minimum | M | SD | ||
| High | 0.7 | 14 | 4 | 5.75 | 1.13 | 13 | 5 | 5.52 | 0.76 | 17 | 5 | 5.56 | 1.24 | 12 | 5 | 5.37 | 0.86 |
| 0.8 | 20 | 4 | 7.19 | 1.87 | 16 | 5 | 6.74 | 1.57 | 22 | 5 | 6.77 | 1.84 | 20 | 5 | 6.74 | 1.51 | |
| 0.9 | 23 | 5 | 9.21 | 2.36 | 23 | 6 | 8.90 | 2.29 | 24 | 6 | 8.65 | 2.24 | 22 | 6 | 8.72 | 2.12 | |
| Low | 0.7 | 24 | 4 | 8.75 | 2.81 | 27 | 6 | 8.54 | 2.70 | 32 | 5 | 8.56 | 3.27 | 23 | 6 | 8.31 | 2.55 |
| 0.8 | 31 | 5 | 10.33 | 3.27 | 32 | 6 | 10.39 | 3.37 | 39 | 6 | 10.04 | 3.50 | 30 | 6 | 9.85 | 3.04 | |
| 0.9 | 29 | 5 | 12.10 | 3.58 | 35 | 6 | 12.87 | 4.24 | 50 | 6 | 11.95 | 4.28 | 36 | 7 | 11.60 | 3.57 | |
Note. PWKL = posterior-weighted Kullback–Leibler information method; MI = mutual information method; PWACDI = posterior-weighted attribute-level cognitive diagnostic model discrimination index; PWCDI = posterior-weighted cognitive diagnostic model discrimination index.