An IERI – International Educational Research Institute Journal
Table 10 Distribution of random effects \(\varvec{G}\) across scaling models and countries (Part I)
Country | Effect | 1 | 2 | 3 | 4 | ||||
|---|---|---|---|---|---|---|---|---|---|
\(\hat{\alpha }_{0}\) | \(\hat{\alpha }_{1}\) | \(\hat{\alpha }_{0}\) | \(\hat{\alpha }_{1}\) | \(\hat{\alpha }_{0}\) | \(\hat{\alpha }_{1}\) | \(\hat{\alpha }_{0}\) | \(\hat{\alpha }_{1}\) | ||
Azerbaijan | \(\hat{\alpha }_{0}\) | 5248.25 | 153.86 | 5244.57 | 162.60 | 5226.53 | 74.15 | 5248.85 | 291.87 |
\(\hat{\alpha }_{1}\) | 153.86 | 443.62 | 162.60 | 549.16 | 74.15 | 417.92 | 291.87 | 650.26 | |
Australia | \(\hat{\alpha }_{0}\) | 590.11 | 24.08 | 588.47 | 25.68 | 592.42 | −4.31 | 587.72 | 10.40 |
\(\hat{\alpha }_{1}\) | 24.08 | 475.07 | 25.68 | 592.42 | −4.31 | 428.68 | 10.40 | 415.55 | |
Austria | \(\hat{\alpha }_{0}\) | 407.73 | −6.63 | 402.97 | −7.05 | 423.97 | −3.26 | 415.20 | −7.77 |
\(\hat{\alpha }_{1}\) | −6.63 | 51.65 | −7.05 | 35.44 | −3.26 | 47.70 | −7.77 | 30.53 | |
Chinese Taipei | \(\hat{\alpha }_{0}\) | 176.44 | −47.49 | 176.16 | −46.11 | 171.42 | −47.08 | 166.76 | −42.88 |
\(\hat{\alpha }_{1}\) | −47.49 | 74.59 | −46.11 | 69.47 | −47.08 | 77.28 | −42.88 | 71.36 | |
Croatia | \(\hat{\alpha }_{0}\) | 212.37 | −3.58 | 210.72 | −3.33 | 211.57 | −5.62 | 211.39 | −6.56 |
\(\hat{\alpha }_{1}\) | −3.58 | 55.29 | −3.33 | 43.16 | −5.62 | 55.03 | −6.56 | 40.84 | |
Czech Republic | \(\hat{\alpha }_{0}\) | 244.49 | −74.17 | 244.84 | −63.68 | 244.47 | −82.20 | 251.91 | −86.89 |
\(\hat{\alpha }_{1}\) | −74.17 | 344.00 | −63.68 | 260.64 | −82.20 | 361.47 | −86.89 | 280.36 | |
Finland | \(\hat{\alpha }_{0}\) | 350.47 | −49.36 | 350.52 | −48.31 | 347.46 | −41.26 | 344.18 | −34.64 |
\(\hat{\alpha }_{1}\) | −49.36 | 66.14 | −48.31 | 63.19 | −41.26 | 62.60 | −34.64 | 64.96 | |
Georgia | \(\hat{\alpha }_{0}\) | 2429.86 | −279.28 | 2432.33 | −259.49 | 2428.40 | −270.16 | 2420.54 | −264.22 |
\(\hat{\alpha }_{1}\) | −279.28 | 376.21 | −259.49 | 329.27 | −270.16 | 370.75 | −264.22 | 312.49 | |
Germany | \(\hat{\alpha }_{0}\) | 416.96 | 47.33 | 414.62 | 43.03 | 423.58 | 36.03 | 475.08 | 15.70 |
\(\hat{\alpha }_{1}\) | 47.33 | 73.62 | 43.03 | 60.61 | 36.03 | 68.99 | 15.70 | 45.10 | |
Honduras | \(\hat{\alpha }_{0}\) | 2131.60 | 293.87 | 2181.93 | 413.57 | 2096.88 | 239.06 | 2164.52 | 261.29 |
\(\hat{\alpha }_{1}\) | 293.87 | 372.70 | 413.57 | 852.45 | 239.06 | 297.90 | 261.29 | 716.51 | |
Hungary | \(\hat{\alpha }_{0}\) | 578.70 | −190.88 | 578.38 | −198.93 | 584.08 | −184.64 | 672.32 | −168.77 |
\(\hat{\alpha }_{1}\) | −190.88 | 183.69 | −198.93 | 206.38 | −184.64 | 174.82 | −168.77 | 257.79 | |
Iran, Islamic Rep. of | \(\hat{\alpha }_{0}\) | 1536.11 | 73.79 | 1559.85 | 109.15 | 1564.47 | 47.99 | 1572.80 | 37.30 |
\(\hat{\alpha }_{1}\) | 73.79 | 275.83 | 109.15 | 514.43 | 47.99 | 242.12 | 37.30 | 446.03 | |
Ireland | \(\hat{\alpha }_{0}\) | 643.26 | −56.05 | 643.50 | −55.20 | 650.27 | −55.71 | 664.92 | −50.11 |
\(\hat{\alpha }_{1}\) | −56.05 | 51.56 | −55.20 | 48.60 | −55.71 | 47.17 | −50.11 | 45.44 | |
Italy | \(\hat{\alpha }_{0}\) | 1346.42 | −112.52 | 1349.74 | −98.70 | 1339.77 | −114.57 | 1339.30 | −108.21 |
\(\hat{\alpha }_{1}\) | −112.52 | 267.16 | −98.70 | 206.35 | −114.57 | 245.99 | −108.21 | 170.05 | |
Lithuania | \(\hat{\alpha }_{0}\) | 334.13 | −63.92 | 333.83 | −56.78 | 337.52 | −69.82 | 346.11 | −72.32 |
\(\hat{\alpha }_{1}\) | −63.92 | 278.92 | −56.78 | 226.04 | −69.82 | 277.76 | −72.32 | 222.45 | |
Malta | \(\hat{\alpha }_{0}\) | 468.51 | 41.21 | 472.58 | 30.92 | 470.84 | 34.23 | 518.49 | 2.89 |
\(\hat{\alpha }_{1}\) | 41.21 | 29.89 | 30.92 | 19.98 | 34.23 | 30.08 | 2.89 | 8.49 | |