Table 2.
Item difficulty, standard error, fit and point-measure correlation
| Entry Number | Item Difficulty | Model Standard Error | Infit | Outfit | PT- measure | ||
|---|---|---|---|---|---|---|---|
| MNSQ | ZSTD | MNSQ | ZSTD | ||||
| 1 | 1.67 | 0.23 | 1.32 | 3.8 | 1.62 | 3.8 | 0.05 |
| 13 | 1.66 | 0.22 | 1.15 | 1.9 | 1.4 | 3.1 | 0.24 |
| 26 | 1.64 | 0.21 | 1.09 | 1.2 | 1.37 | 2.9 | 0.29 |
| 16 | 1.54 | 0.21 | 1.2 | 3.6 | 1.31 | 3.4 | 0.22 |
| 27 | 1.54 | 0.2 | 1.08 | 1.5 | 1.17 | 1.9 | 0.32 |
| 5 | 1.54 | 0.2 | 1.06 | 1.1 | 1.16 | 1.9 | 0.34 |
| 6 | 1.55 | 0.19 | 1.06 | 1.1 | 1.15 | 1.6 | 0.33 |
| 3 | 1.64 | 0.19 | 0.98 | − 0.2 | 1.09 | 0.8 | 0.4 |
| 11 | 1.58 | 0.18 | 1.02 | 0.3 | 1.05 | 0.5 | 0.39 |
| 17 | 1.65 | 0.18 | 1.04 | 0.6 | 0.99 | 0 | 0.38 |
| 21 | 1.56 | 0.18 | 1.04 | 0.7 | 0.99 | 0 | 0.37 |
| 9 | 1.62 | 0.17 | 1.02 | 0.3 | 1 | 0 | 0.36 |
| 2 | 1.97 | 0.17 | 1 | 0.1 | 0.92 | − 0.3 | 0.31 |
| 15 | 1.6 | 0.16 | 0.96 | − 0.5 | 0.99 | − 0.1 | 0.43 |
| 20 | 1.54 | 0.17 | 0.99 | − 0.2 | 0.96 | − 0.4 | 0.41 |
| 23 | 1.63 | 0.16 | 0.91 | -1.3 | 0.99 | − 0.1 | 0.43 |
| 8 | 1.54 | 0.15 | 0.97 | − 0.5 | 0.94 | − 0.7 | 0.43 |
| 24 | 1.63 | 0.15 | 0.95 | − 0.9 | 0.91 | -1 | 0.45 |
| 19 | 1.75 | 0.15 | 0.92 | -1 | 0.94 | − 0.3 | 0.41 |
| 10 | 1.63 | 0.14 | 0.94 | − 0.8 | 0.9 | − 0.8 | 0.42 |
| 12 | 1.54 | 0.13 | 0.93 | -1.4 | 0.88 | -1.5 | 0.47 |
| 18 | 1.65 | 0.12 | 0.91 | − 0.7 | 0.72 | -1.2 | 0.39 |
| 22 | 1.69 | 0.12 | 0.9 | -1.3 | 0.8 | -1.5 | 0.45 |
| 4 | 1.9 | 0.13 | 0.9 | − 0.9 | 0.84 | − 0.7 | 0.4 |
| 14 | 1.54 | 0.13 | 0.87 | -2 | 0.83 | -2.1 | 0.52 |
| 25 | 1.68 | 0.14 | 0.87 | -1.8 | 0.79 | -1.6 | 0.48 |
| 7 | 1.8 | 0.15 | 0.85 | -1.7 | 0.73 | -1.7 | 0.47 |
| 28 | 1.9 | 0.15 | 0.83 | -1.6 | 0.71 | -1.5 | 0.46 |
| Mean | 1.66 | 0.16 | 0.99 | 0 | 1.01 | 0.2 | |
| SD | 0.14 | 0.03 | 0.11 | 1.5 | 0.21 | 1.6 | |
MNSQ (mean square residual)
ZSTD (standardised mean square residual)
SD (standard deviation)