Table 2.
Item Slope, Location, and Intercept Parameter Estimates Under the Graded Response Model, Assuming a Normally Distributed Latent Trait.
| Slope | Location | Intercept | |||||||
|---|---|---|---|---|---|---|---|---|---|
| α | β1 | β2 | β3 | β4 | γ1 | γ2 | γ3 | γ4 | |
| Item 1 | 1.71 | −0.77 | 0.40 | 1.72 | 2.98 | 1.31 | −0.69 | −2.94 | −5.09 |
| Item 2 | 2.25 | −0.40 | 0.46 | 1.52 | 2.48 | 0.90 | −1.03 | −3.42 | −5.58 |
| Item 3 | 1.80 | 0.26 | 1.18 | 2.21 | 3.26 | −0.47 | −2.12 | −3.98 | −5.86 |
| Item 4 | 1.57 | −1.21 | 0.04 | 1.96 | 3.60 | 1.90 | −0.06 | −3.08 | −5.65 |
| Item 5 | 2.65 | −0.13 | 0.70 | 1.69 | 2.55 | 0.34 | −1.86 | −4.48 | −6.75 |
| Item 6 | 2.92 | 0.47 | 1.16 | 1.81 | 2.70 | −1.38 | −3.39 | −5.28 | −7.87 |
| Item 7 | 2.85 | −0.66 | 0.42 | 1.59 | 2.75 | 1.87 | −1.20 | −4.53 | −7.86 |
| Item 8 | 1.97 | −0.17 | 0.69 | 1.68 | 2.77 | 0.34 | −1.36 | −3.32 | −5.46 |
| Item 9 | 3.14 | 0.65 | 1.13 | 1.77 | 2.65 | −2.03 | −3.55 | −5.56 | −8.32 |
| Item 10 | 3.35 | 0.18 | 0.89 | 1.62 | 2.52 | −0.61 | −2.97 | −5.42 | −8.46 |
| Item 11 | 2.76 | −0.12 | 0.71 | 1.67 | 2.53 | 0.33 | −1.95 | −4.61 | −6.98 |
| Item 12 | 2.60 | 0.08 | 0.94 | 1.85 | 2.79 | −0.20 | −2.45 | −4.81 | −7.25 |
| Item 13 | 2.25 | 0.01 | 0.76 | 1.76 | 2.52 | −0.02 | −1.72 | −3.96 | −5.67 |
| Item 14 | 2.75 | −0.05 | 0.75 | 1.63 | 2.84 | 0.14 | −2.06 | −4.48 | −7.80 |
| Item 15 | 2.62 | 0.32 | 0.97 | 1.97 | 2.94 | −0.83 | −2.54 | −5.16 | −7.69 |
| Item 16 | 3.30 | 0.21 | 0.98 | 1.75 | 2.69 | −0.70 | −3.23 | −5.78 | −8.88 |
| Item 17 | 2.62 | 0.13 | 0.90 | 1.82 | 2.55 | −0.33 | −2.34 | −4.76 | −6.67 |
| Item 18 | 3.23 | 0.01 | 0.76 | 1.64 | 2.42 | −0.03 | −2.47 | −5.30 | −7.83 |
| Item 19 | 2.49 | −0.76 | 0.39 | 1.62 | 2.75 | 1.88 | −0.98 | −4.04 | −6.86 |
| Item 20 | 2.20 | −0.28 | 0.76 | 1.90 | 3.11 | 0.62 | −1.67 | −4.17 | −6.82 |
| Item 21 | 2.19 | −1.05 | 0.20 | 1.60 | 2.96 | 2.30 | −0.45 | −3.51 | −6.47 |
| Item 22 | 3.21 | −0.08 | 0.78 | 1.68 | 2.62 | 0.25 | −2.51 | −5.38 | −8.42 |
| Item 23 | 3.27 | 0.21 | 1.01 | 1.84 | 2.54 | −0.68 | −3.31 | −6.03 | −8.31 |
| Item 24 | 2.38 | −0.24 | 0.64 | 1.69 | 2.72 | 0.57 | −1.52 | −4.01 | −6.45 |
| Item 25 | 3.00 | −0.07 | 0.72 | 1.62 | 2.47 | 0.21 | −2.17 | −4.87 | −7.41 |
| Item 26 | 3.33 | 0.59 | 1.11 | 1.84 | 2.54 | −1.98 | −3.69 | −6.12 | −8.46 |
| Item 27 | 2.68 | −0.16 | 0.73 | 1.71 | 2.61 | 0.43 | −1.96 | −4.57 | −7.00 |
| Item 28 | 2.79 | −0.17 | 0.65 | 1.65 | 2.53 | 0.47 | −1.82 | −4.60 | −7.05 |
| Item 29 | 2.42 | 0.69 | 1.34 | 2.06 | 2.79 | −1.66 | −3.23 | −4.97 | −6.75 |
| Mean | 2.63 | −0.09 | 0.76 | 1.75 | 2.73 | 0.10 | −2.08 | −4.59 | −7.09 |
| SD | 0.50 | 0.47 | 0.30 | 0.15 | 0.26 | 1.12 | 0.95 | 0.86 | 1.04 |
| Meanp | 2.17 | −0.19 | 0.81 | 2.04 | 3.15 | ||||
| SDp | 0.43 | 0.65 | 0.55 | 0.43 | 0.47 | ||||
Note. α = slope, β = location, γ = intercept,
indicates Pilkonis et al. (2011) results.