Descriptive statistics | Rasch measurement | ||||||||
---|---|---|---|---|---|---|---|---|---|
Item | M | SD | Skewness | Kurtosis | Measure | Infit MNSQ | Outfit MNSQ | PT-Measures | Total scores |
1 | 0.44 | 0.49 | 0.23 | −1.94 | −0.66 | 1.03 | 1.04 | 0.41 | 1323 |
2 | 0.64 | 0.47 | −0.60 | −1.64 | −1.03 | 0.82 | 0.75 | 0.56 | 1585 |
3 | 0.22 | 0.42 | 1.28 | −0.33 | 1.02 | 1.18 | 1.37 | 0.18 | 289 |
4 | 0.44 | 0.49 | 0.21 | −1.95 | −0.14 | 1.04 | 1.05 | 0.33 | 1208 |
5 | 0.79 | 0.40 | −1.47 | 0.17 | −1.88 | 1.15 | 1.58 | 0.09 | 2156 |
6 | 0.63 | 0.48 | −0.55 | −1.69 | −0.99 | 0.93 | 0.89 | 0.44 | 1540 |
7 | 0.62 | 0.48 | −0.49 | −1.75 | −0.80 | 0.91 | 0.88 | 0.45 | 1276 |
8 | 0.81 | 0.38 | −1.61 | 0.62 | −2.03 | 0.93 | 0.88 | 0.39 | 2037 |
9 | 0.37 | 0.48 | 0.52 | −1.72 | 0.34 | 1.06 | 1.08 | 0.30 | 708 |
10 | 0.68 | 0.46 | −0.81 | −1.33 | −1.34 | 1.05 | 1.11 | 0.29 | 1855 |
11 | 0.33 | 0.47 | 0.71 | −1.49 | 0.43 | 0.94 | 0.99 | 0.42 | 725 |
12 | 0.82 | 0.38 | −1.69 | 0.88 | −2.02 | 0.87 | 0.73 | 0.45 | 1633 |
13 | 0.62 | 0.48 | −0.50 | −1.74 | −0.88 | 0.87 | 0.83 | 0.50 | 1116 |
14 | 0.47 | 0.49 | 0.11 | −1.98 | −0.25 | 0.92 | 0.90 | 0.46 | 774 |
15 | 0.50 | 0.50 | −0.01 | −2.00 | −0.33 | 0.90 | 0.89 | 0.47 | 1033 |
16 | 0.39 | 0.48 | 0.44 | −1.80 | 0.16 | 1.15 | 1.20 | 0.21 | 776 |
17 | 0.49 | 0.50 | 0.001 | −2.00 | −0.19 | 1.03 | 1.08 | 0.35 | 651 |
18 | 0.20 | 0.40 | 1.46 | 0.14 | 1.31 | 1.08 | 1.38 | 0.23 | 218 |
19 | 0.20 | 0.40 | 1.46 | 0.14 | 1.27 | 1.19 | 1.38 | 0.09 | 426 |
20 | 0.75 | 0.43 | −1.15 | −0.65 | −1.60 | 0.92 | 0.88 | 0.42 | 1857 |
21 | 0.11 | 0.32 | 2.39 | 3.75 | 2.10 | 1.01 | 1.32 | 0.23 | 168 |
22 | 0.31 | 0.46 | 0.80 | −1.35 | 0.71 | 1.18 | 1.35 | 0.19 | 234 |
23 | 0.49 | 0.50 | 0.03 | −2.00 | −0.15 | 0.95 | 0.93 | 0.47 | 408 |
24 | 0.34 | 0.47 | 0.63 | −1.60 | 0.18 | 1.19 | 1.31 | 0.29 | 148 |
25 | 0.33 | 0.47 | 0.68 | −1.53 | 0.58 | 1.42 | 1.57 | −0.02 | 347 |
26 | 0.79 | 0.40 | −1.42 | 0.04 | −1.69 | 0.88 | 0.75 | 0.45 | 1423 |
27 | 0.37 | 0.48 | 0.49 | −1.75 | 0.41 | 0.97 | 0.98 | 0.39 | 570 |
28 | 0.53 | 0.49 | −0.15 | −1.97 | −0.30 | 0.96 | 0.96 | 0.43 | 603 |
29 | 0.24 | 0.42 | 1.20 | −0.55 | 1.17 | 0.89 | 0.94 | 0.44 | 359 |
30 | 0.19 | 0.39 | 1.54 | 0.38 | 1.48 | 1.05 | 1.31 | 0.23 | 250 |
31 | 0.41 | 0.49 | 0.34 | −1.88 | 0.02 | 1.04 | 1.05 | 0.32 | 1030 |
32 | 0.59 | 0.49 | −0.38 | −1.85 | −0.78 | 0.81 | 0.78 | 0.56 | 1037 |
33 | 0.14 | 0.34 | 2.07 | 2.30 | 1.66 | 0.99 | 1.20 | 0.26 | 292 |
34 | 0.38 | 0.48 | 0.47 | −1.77 | 0.18 | 1.13 | 1.18 | 0.22 | 718 |
35 | 0.26 | 0.44 | 1.06 | −0.86 | 0.90 | 1.04 | 1.13 | 0.29 | 428 |
36 | 0.56 | 0.49 | −0.24 | −1.94 | −0.60 | 1.03 | 1.03 | 0.33 | 1001 |
37 | 0.45 | 0.49 | 0.19 | −1.96 | −0.12 | 0.93 | 0.91 | 0.44 | 828 |
38 | 0.04 | 0.21 | 4.18 | 15.5 | 2.98 | 1.09 | 2.50 | −0.03 | 108 |
39 | 0.88 | 0.32 | −2.39 | 3.71 | −2.55 | 0.92 | 0.76 | 0.35 | 2106 |
40 | 0.62 | 0.48 | −0.50 | −1.74 | −0.86 | 0.85 | 0.80 | 0.52 | 1430 |
41 | 0.31 | 0.46 | 0.77 | −1.40 | 0.60 | 0.98 | 1.03 | 0.38 | 547 |
42 | 0.63 | 0.48 | −0.57 | −1.67 | −0.79 | 0.86 | 0.79 | 0.51 | 920 |
43 | 0.31 | 0.46 | 0.80 | −1.35 | 0.53 | 1.07 | 1.11 | 0.28 | 636 |
44 | 0.48 | 0.49 | 0.06 | −1.99 | −0.11 | 0.90 | 0.87 | 0.49 | 695 |
45 | 0.19 | 0.39 | 1.55 | 0.40 | 1.53 | 1.01 | 1.17 | 0.31 | 200 |
46 | 0.52 | 0.49 | −0.08 | −1.99 | −0.30 | 1.01 | 1.03 | 0.36 | 830 |
47 | 0.45 | 0.49 | 0.18 | −1.97 | 0.00 | 1.24 | 1.30 | 0.14 | 506 |
48 | 0.79 | 0.40 | −1.49 | 0.24 | −1.71 | 0.89 | 0.81 | 0.41 | 1181 |
49 | 0.59 | 0.49 | −0.38 | −1.85 | −0.79 | 0.97 | 0.98 | 0.39 | 880 |
50 | 0.74 | 0.43 | −1.10 | −0.78 | −1.25 | 0.90 | 0.83 | 0.46 | 717 |
51 | 0.71 | 0.45 | −0.93 | −1.12 | −1.18 | 0.06 | 0.75 | 0.51 | 1058 |
52 | 0.42 | 0.49 | 0.31 | −1.90 | 0.26 | 1.04 | 1.05 | 0.34 | 452 |
53 | 0.66 | 0.47 | −0.71 | −1.48 | −0.90 | 1.00 | 1.09 | 0.34 | 729 |
54 | 0.30 | 0.30 | 0.30 | 0.30 | 0.83 | 1.17 | 1.38 | 0.19 | 275 |
55 | 0.22 | 0.41 | 1.34 | −0.20 | 1.31 | 1.01 | 1.31 | 0.29 | 240 |
56 | 0.53 | 0.49 | −0.15 | −1.98 | −0.33 | 0.88 | 0.85 | 0.50 | 747 |
57 | 0.35 | 0.47 | 0.62 | −1.61 | 0.64 | 0.94 | 0.98 | 0.43 | 389 |
58 | 0.71 | 0.44 | −0.97 | −1.04 | −1.13 | 0.91 | 0.87 | 0.44 | 829 |
59 | 0.54 | 0.49 | −0.19 | −1.96 | −0.28 | 1.03 | 0.99 | 0.44 | 313 |
60 | 0.49 | 0.50 | 0.00 | −2.00 | −0.09 | 1.00 | 1.01 | 0.38 | 548 |
61 | 0.76 | 0.42 | −1.25 | −0.41 | −1.62 | 0.86 | 0.75 | 0.48 | 1453 |
62 | 0.47 | 0.49 | 0.11 | −1.99 | 0.03 | 1.01 | 1.04 | 0.45 | 255 |
63 | 0.24 | 0.42 | 1.19 | −0.56 | 1.11 | 0.99 | 1.20 | 0.39 | 161 |
64 | 0.23 | 0.42 | 1.22 | −0.50 | 1.14 | 1.19 | 1.40 | 0.22 | 165 |
65 | 0.30 | 0.46 | 0.84 | −1.29 | 0.83 | 1.34 | 1.59 | 0.19 | 134 |
66 | 0.42 | 0.49 | 0.32 | −1.90 | 0.15 | 0.89 | 0.91 | 0.52 | 345 |
67 | 0.34 | 0.47 | 0.66 | −1.56 | 0.59 | 1.07 | 1.11 | 0.43 | .59 |
68 | 0.07 | 0.27 | 3.10 | 7.65 | 2.63 | 1.12 | 2.81 | −0.02 | 87 |
69 | 0.27 | 0.44 | 1.01 | −0.96 | 0.98 | 0.97 | 1.05 | 0.42 | 184 |
70 | 0.25 | 0.43 | 1.15 | −0.67 | 1.08 | 1.42 | 1.65 | 0.15 | 124 |