Descriptive statistics | Rasch measurement | ||||||||
---|---|---|---|---|---|---|---|---|---|
Item | M | SD | Skewness | Kurtosis | Measure | Infit MNSQ | Outfit MNSQ | PT-Measures | Total scores |
1 | 0.58 | 0.49 | −0.36 | −1.87 | −0.66 | 1.03 | 1.04 | 0.41 | 1323 |
2 | 0.47 | 0.49 | 0.08 | −1.99 | −0.23 | 0.92 | 0.90 | 0.51 | 1131 |
3 | 0.63 | 0.48 | −0.54 | −1.70 | −0.86 | 0.93 | 0.93 | 0.48 | 1200 |
4 | 0.43 | 0.49 | 0.25 | −1.93 | 0.02 | 0.84 | 0.84 | 0.56 | 716 |
5 | 0.59 | 0.49 | −0.37 | −1.86 | −0.78 | 1.09 | 1.31 | 0.33 | 709 |
6 | 0.46 | 0.49 | 0.15 | −1.97 | −0.03 | 0.94 | 0.91 | 0.49 | 879 |
7 | 0.66 | 0.47 | −0.71 | −1.49 | −1.09 | 0.86 | 0.78 | 0.54 | 1664 |
8 | 0.20 | 0.40 | 1.47 | 0.16 | 1.51 | 0.98 | 1.10 | 0.38 | 333 |
9 | 0.42 | 0.49 | 0.30 | −1.90 | 0.33 | 1.21 | 1.26 | 0.25 | 560 |
10 | 0.36 | 0.48 | 0.57 | −1.67 | 0.60 | 0.92 | 0.92 | 0.50 | 524 |
11 | 0.54 | 0.49 | −0.16 | −1.97 | −0.38 | 0.95 | 0.99 | 0.48 | 710 |
12 | 0.25 | 0.43 | 1.12 | −0.72 | 1.24 | 1.05 | 1.21 | 0.36 | 288 |
13 | 0.35 | 0.47 | 0.61 | −1.62 | 0.50 | 0.88 | 0.86 | 0.53 | 670 |
14 | 0.31 | 0.46 | 0.80 | −1.35 | 0.80 | 0.91 | 0.94 | 0.51 | 379 |
15 | 0.43 | 0.49 | 0.27 | −1.93 | 0.29 | 1.24 | 1.34 | 0.34 | 272 |
16 | 0.83 | 0.36 | −1.84 | 1.42 | −2.15 | 1.00 | 1.08 | 0.33 | 1618 |
17 | 0.62 | 0.48 | −0.51 | −1.74 | −0.59 | 0.97 | 0.96 | 0.46 | 666 |
18 | 0.60 | 0.48 | −0.44 | −1.80 | −0.56 | 0.99 | 0.96 | 0.43 | 879 |
19 | 0.54 | 0.49 | −0.16 | −1.97 | −0.31 | 1.05 | 1.00 | 0.44 | 433 |
20 | 0.41 | 0.49 | 0.36 | −1.87 | 0.43 | 1.21 | 1.27 | 0.32 | 344 |
21 | 0.83 | 0.37 | −1.77 | 1.13 | −2.04 | 0.91 | 0.92 | 0.41 | 1649 |
22 | 0.82 | 0.37 | −1.72 | 0.96 | −1.78 | 0.78 | 0.59 | 0.59 | 1176 |
23 | 0.37 | 0.48 | 0.53 | −1.71 | 0.59 | 1.31 | 1.57 | 0.21 | 298 |
24 | 0.28 | 0.45 | 0.94 | −1.11 | 0.92 | 0.87 | 0.91 | 0.52 | 357 |
25 | 0.71 | 0.44 | −0.97 | −1.05 | −1.29 | 0.89 | 0.86 | 0.49 | 1557 |
26 | 0.57 | 0.49 | −0.28 | −1.91 | −0.47 | 0.96 | 0.93 | 0.46 | 1105 |
27 | 0.31 | 0.46 | 0.78 | −1.38 | 0.83 | 1.34 | 1.61 | 0.07 | 609 |
28 | 0.16 | 0.37 | 1.78 | 1.19 | 2.02 | 1.32 | 2.42 | 0.05 | 155 |
29 | 0.75 | 0.43 | −1.15 | −0.66 | −1.44 | 0.86 | 0.76 | 0.50 | 1617 |
30 | 0.61 | 0.48 | −0.48 | −1.76 | −0.43 | 0.87 | 0.82 | 0.54 | 704 |
31 | 0.64 | 0.47 | −0.61 | −1.62 | −0.73 | 0.88 | 0.82 | 0.51 | 1079 |
32 | 0.54 | 0.49 | −0.18 | −1.96 | −0.33 | 0.87 | 0.85 | 0.54 | 888 |
33 | 0.43 | 0.49 | 0.25 | −1.93 | 0.21 | 1.01 | 1.03 | 0.42 | 700 |
34 | 0.69 | 0.46 | −0.84 | −1.28 | −1.12 | 0.99 | 1.06 | 0.39 | 1283 |
35 | 0.34 | 0.47 | 0.66 | −1.56 | 0.69 | 1.00 | 1.05 | 0.41 | 523 |
36 | 0.73 | 0.44 | −1.07 | −0.83 | −1.21 | 0.88 | 0.80 | 0.49 | 1133 |
37 | 0.73 | 0.44 | −1.05 | −0.88 | −1.26 | 0.93 | 0.85 | 0.45 | 1236 |
38 | 0.24 | 0.43 | 1.16 | −0.63 | 1.15 | 1.08 | 1.23 | 0.35 | 329 |
39 | 0.49 | 0.50 | 0.005 | −2.0 | −0.06 | 1.07 | 1.06 | 0.35 | 788 |
40 | 0.51 | 0.50 | −0.04 | −2.0 | −0.10 | 1.09 | 1.10 | 0.36 | 710 |
41 | 0.54 | 0.49 | −0.18 | −1.96 | −0.39 | 1.03 | 1.02 | 0.39 | 1131 |
42 | 0.61 | 0.49 | −0.48 | −1.77 | −0.65 | 1.05 | 1.04 | 0.37 | 1084 |
43 | 0.40 | 0.49 | 0.38 | −1.85 | 0.44 | 1.08 | 1.11 | 0.34 | 705 |
44 | 0.39 | 0.48 | 0.41 | −1.85 | 0.43 | 1.01 | 1.04 | 0.41 | 610 |
45 | 0.55 | 0.49 | −0.22 | −1.95 | −0.27 | 1.02 | 1.10 | 0.40 | 676 |
46 | 0.60 | 0.49 | 0.41 | −1.82 | −0.48 | 0.99 | 0.97 | 0.41 | 904 |
47 | 0.37 | 0.48 | 0.52 | −1.72 | 0.68 | 1.09 | 1.15 | 0.34 | 461 |
48 | 0.65 | 0.47 | −0.63 | −1.59 | −0.56 | 0.78 | 0.72 | 0.62 | 472 |
49 | 0.61 | 0.48 | 0.48 | 0.48 | −0.56 | 0.94 | 0.94 | 0.46 | 910 |
50 | 0.51 | 0.50 | 0.06 | −2.0 | 0.10 | 0.84 | 0.81 | 0.59 | 410 |
51 | 0.51 | 0.50 | −0.04 | −2.00 | 0.06 | 0.94 | 0.92 | 0.48 | 620 |
52 | 0.45 | 0.49 | 0.18 | −1.96 | 0.29 | 1.08 | 1.09 | 0.34 | 686 |
53 | 0.41 | 0.49 | 0.35 | −1.87 | 0.60 | 1.10 | 1.16 | 0.36 | 399 |
54 | 0.49 | 0.50 | 0.03 | −2.00 | 0.14 | 1.10 | 1.09 | 0.36 | 534 |
55 | 0.30 | 0.46 | 0.83 | −1.30 | 1.05 | 1.08 | 1.23 | 0.35 | 329 |
56 | 0.54 | 0.49 | −0.18 | −1.96 | −0.24 | 1.18 | 1.21 | 0.29 | 700 |
57 | 0.63 | 0.48 | −0.57 | −1.67 | −0.51 | 0.88 | 0.79 | 0.54 | 598 |
58 | 0.56 | 0.49 | −0.25 | −1.94 | −0.09 | 0.90 | 0.85 | 0.58 | 326 |
59 | 0.27 | 0.44 | 1.03 | −0.93 | 1.22 | 0.83 | 0.82 | 0.55 | 340 |
60 | 0.53 | 0.49 | −0.15 | −1.98 | −0.12 | 1.00 | 1.05 | 0.53 | 253 |
61 | 0.32 | 0.46 | 0.75 | −1.43 | 0.97 | 1.48 | 1.78 | 0.04 | 279 |
62 | 0.17 | 0.38 | 1.70 | 0.92 | 1.82 | 1.17 | 1.43 | 0.21 | 213 |
63 | 0.53 | 0.49 | −0.15 | −1.9 | −0.06 | 1.05 | 1.07 | 0.43 | 345 |
64 | 0.18 | 0.18 | 0.18 | 0.18 | 1.91 | 1.08 | 1.68 | 0.29 | 126 |
65 | 0.09 | 0.29 | 2.76 | 5.65 | 2.63 | 1.37 | 3.28 | −0.05 | 42 |
66 | 0.31 | 0.46 | 0.77 | −1.39 | 1.16 | 1.10 | 1.42 | 0.34 | 214 |
67 | 0.75 | 0.42 | 0.42 | 0.42 | −1.14 | 0.81 | 0.70 | 0.56 | 692 |
68 | 0.54 | 0.49 | −0.17 | −1.97 | −0.05 | 0.87 | 0.83 | 0.55 | 620 |
69 | 0.69 | 0.46 | −0.84 | −1.28 | −0.66 | 0.91 | 0.88 | 0.52 | 470 |
70 | 0.57 | 0.49 | −0.28 | −1.92 | −0.12 | 0.90 | 0.88 | 0.56 | 387 |