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Table 4 TIMSS grade 8explained variance of school-averaged mathematics score by model and country

From: Evaluating the risk of nonresponse bias in educational large-scale assessments with school nonresponse questionnaires: a theoretical study

Country

Model 1*

Model 2*

Model 3*

Model 4*

Model 5*

Model 6*

Model 7*

Model 8*

Model 9*

Model 10*

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

Armenia

0.06 (0.07)

0.07 (0.07)

0.14 (0.06)

0.14 (0.06)

0.14 (0.07)

0.15 (0.07)

0.21 (0.09)

0.21 (0.09)

0.26 (0.09)

0.27 (0.09)

Australia

0.20 (0.06)

0.22 (0.06)

0.28 (0.06)

0.33 (0.06)

0.33 (0.06)

0.33 (0.06)

0.35 (0.07)

0.36 (0.08)

0.39 (0.08)

0.40 (0.08)

Bahrain

0.11 (0.06)

0.14 (0.08)

0.26 (0.08)

0.39 (0.11)

0.41 (0.11)

0.43 (0.11)

0.44 (0.11)

0.43 (0.12)

0.43 (0.13)

0.43 (0.13)

Botswana

0.32 (0.10)

0.37 (0.10)

0.46 (0.10)

0.50 (0.11)

0.52 (0.11)

0.51 (0.11)

0.56 (0.08)

0.60 (0.07)

0.60 (0.07)

0.64 (0.07)

Canada (Alberta)

0.20 (0.09)

0.27 (0.09)

0.27 (0.09)

0.29 (0.10)

0.30 (0.10)

0.32 (0.10)

0.32 (0.10)

0.36 (0.11)

0.36 (0.11)

0.37 (0.11)

Canada (Ontario)

0.07 (0.04)

0.13 (0.05)

0.15 (0.05)

0.25 (0.05)

0.26 (0.06)

0.27 (0.06)

0.29 (0.08)

0.29 (0.08)

0.29 (0.08)

0.29 (0.08)

Canada (Quebec)

0.01 (0.08)

0.03 (0.08)

0.07 (0.13)

0.07 (0.14)

0.15 (0.08)

0.15 (0.08)

0.16 (0.09)

0.16 (0.10)

0.19 (0.09)

0.20 (0.10)

Chile

0.26 (0.08)

0.25 (0.10)

0.36 (0.09)

0.46 (0.06)

0.47 (0.07)

0.47 (0.06)

0.48 (0.06)

0.51 (0.06)

0.53 (0.06)

0.54 (0.06)

Chinese Taipei

0.26 (0.14)

0.38 (0.12)

0.38 (0.12)

0.44 (0.13)

0.44 (0.13)

0.48 (0.13)

0.52 (0.12)

0.52 (0.12)

0.52 (0.12)

0.54 (0.11)

England

0.07 (0.05)

0.13 (0.08)

0.15 (0.09)

0.15 (0.08)

0.16 (0.09)

0.16 (0.09)

0.17 (0.09)

0.18 (0.09)

0.26 (0.10)

0.26 (0.10)

Finland

0.05 (0.05)

0.04 (0.04)

0.11 (0.06)

0.14 (0.07)

0.16 (0.08)

0.16 (0.08)

0.17 (0.07)

0.20 (0.07)

0.24 (0.07)

0.26 (0.07)

Georgia

0.04 (0.03)

0.09 (0.08)

0.14 (0.09)

0.14 (0.09)

0.15 (0.09)

0.18 (0.09)

0.18 (0.09)

0.23 (0.09)

0.23 (0.09)

0.24 (0.10)

Ghana

0.04 (0.04)

0.08 (0.05)

0.15 (0.06)

0.19 (0.07)

0.19 (0.07)

0.19 (0.08)

0.27 (0.08)

0.29 (0.09)

0.31 (0.10)

0.36 (0.09)

Republic of Honduras

0.11 (0.09)

0.14 (0.11)

0.17 (0.11)

0.18 (0.11)

0.18 (0.11)

0.22 (0.13)

0.26 (0.12)

0.28 (0.18)

0.40 (0.14)

0.41 (0.14)

Hong Kong, SAR

0.19 (0.10)

0.21 (0.10)

0.35 (0.08)

0.39 (0.08)

0.39 (0.08)

0.39 (0.08)

0.43 (0.08)

0.45 (0.08)

0.57 (0.07)

0.57 (0.07)

Hungary

0.30 (0.07)

0.34 (0.06)

0.41 (0.07)

0.42 (0.07)

0.42 (0.07)

0.42 (0.06)

0.46 (0.08)

0.48 (0.08)

0.53 (0.09)

0.54 (0.09)

Indonesia

0.11 (0.08)

0.10 (0.08)

0.12 (0.08)

0.12 (0.08)

0.12 (0.09)

0.13 (0.09)

0.16 (0.09)

0.17 (0.10)

0.17 (0.10)

0.18 (0.09)

Islamic Republic of Iran

0.23 (0.07)

0.22 (0.07)

0.23 (0.08)

0.26 (0.09)

0.27 (0.09)

0.27 (0.09)

0.35 (0.09)

0.41 (0.08)

0.41 (0.08)

0.42 (0.09)

Israel

0.33 (0.09)

0.36 (0.09)

0.36 (0.10)

0.38 (0.10)

0.43 (0.09)

0.43 (0.09)

0.44 (0.09)

0.45 (0.09)

0.48 (0.08)

0.51 (0.08)

Italy

0.10 (0.05)

0.14 (0.08)

0.20 (0.08)

0.22 (0.08)

0.23 (0.08)

0.26 (0.08)

0.26 (0.08)

0.26 (0.08)

0.30 (0.09)

0.30 (0.09)

Japan

0.22 (0.10)

0.27 (0.11)

0.30 (0.10)

0.31 (0.10)

0.31 (0.10)

0.32 (0.10)

0.42 (0.08)

0.42 (0.08)

0.44 (0.08)

0.45 (0.08)

Jordan

0.14 (0.08)

0.14 (0.10)

0.22 (0.06)

0.28 (0.07)

0.31 (0.07)

0.32 (0.07)

0.37 (0.07)

0.36 (0.07)

0.37 (0.06)

0.37 (0.06)

Kazakhstan

0.02 (0.03)

0.04 (0.04)

0.04 (0.04)

0.05 (0.04)

0.07 (0.05)

0.08 (0.05)

0.11 (0.04)

0.12 (0.04)

0.18 (0.06)

0.32 (0.07)

Republic of Korea

0.21 (0.05)

0.37 (0.08)

0.37 (0.10)

0.47 (0.10)

0.55 (0.10)

0.56 (0.10)

0.60 (0.10)

0.60 (0.10)

0.65 (0.08)

0.67 (0.08)

Lebanon

0.23 (0.09)

0.19 (0.09)

0.26 (0.09)

0.31 (0.09)

0.33 (0.09)

0.33 (0.09)

0.32 (0.09)

0.31 (0.09)

0.33 (0.07)

0.35 (0.08)

Lithuania

0.08 (0.08)

0.17 (0.06)

0.20 (0.06)

0.25 (0.07)

0.27 (0.08)

0.27 (0.08)

0.38 (0.07)

0.40 (0.07)

0.41 (0.07)

0.41 (0.07)

Macedonia

0.17 (0.06)

0.20 (0.07)

0.21 (0.06)

0.21 (0.06)

0.28 (0.08)

0.31 (0.09)

0.43 (0.08)

0.43 (0.08)

0.46 (0.08)

0.46 (0.08)

Malaysia

0.04 (0.03)

0.04 (0.03)

0.04 (0.04)

0.06 (0.05)

0.06 (0.05)

0.08 (0.04)

0.14 (0.06)

0.17 (0.06)

0.30 (0.07)

0.31 (0.07)

Morocco

0.25 (0.10)

0.36 (0.11)

0.45 (0.11)

0.48 (0.10)

0.49 (0.10)

0.49 (0.10)

0.53 (0.09)

0.55 (0.09)

0.55 (0.09)

0.55 (0.09)

New Zealand

0.24 (0.07)

0.30 (0.06)

0.30 (0.06)

0.33 (0.06)

0.37 (0.07)

0.37 (0.07)

0.39 (0.06)

0.40 (0.06)

0.40 (0.06)

0.42 (0.06)

Oman

0.05 (0.03)

0.09 (0.05)

0.11 (0.05)

0.14 (0.07)

0.17 (0.06)

0.21 (0.06)

0.21 (0.06)

0.25 (0.07)

0.25 (0.07)

0.25 (0.07)

Palestinian National Authority

0.03 (0.04)

0.04 (0.04)

0.05 (0.04)

0.10 (0.07)

0.11 (0.07)

0.13 (0.07)

0.13 (0.07)

0.13 (0.07)

0.14 (0.07)

0.14 (0.07)

Qatar

−0.01 (0.00)

−0.02 (0.01)

0.02 (0.05)

0.02 (0.05)

0.01 (0.05)

0.03 (0.06)

0.02 (0.07)

0.19 (0.12)

0.19 (0.12)

0.20 (0.11)

Romania

0.06 (0.04)

0.07 (0.04)

0.14 (0.07)

0.20 (0.06)

0.20 (0.06)

0.20 (0.06)

0.28 (0.06)

0.30 (0.06)

0.34 (0.06)

0.39 (0.07)

Russian Federation

0.08 (0.06)

0.11 (0.09)

0.14 (0.09)

0.14 (0.09)

0.14 (0.10)

0.14 (0.10)

0.15 (0.10)

0.15 (0.11)

0.16 (0.11)

0.16 (0.11)

Saudi Arabia

0.02 (0.04)

0.04 (0.04)

0.11 (0.05)

0.15 (0.09)

0.19 (0.09)

0.19 (0.10)

0.24 (0.09)

0.25 (0.09)

0.29 (0.09)

0.30 (0.09)

Singapore

0.21 (0.06)

0.24 (0.08)

0.25 (0.08)

0.30 (0.08)

0.31 (0.08)

0.30 (0.08)

0.30 (0.08)

0.30 (0.08)

0.33 (0.08)

0.33 (0.08)

Slovenia

0.02 (0.02)

0.06 (0.04)

0.06 (0.04)

0.06 (0.04)

0.07 (0.04)

0.09 (0.05)

0.10 (0.05)

0.10 (0.05)

0.10 (0.06)

0.12 (0.06)

South Africa

0.14 (0.09)

0.22 (0.08)

0.24 (0.08)

0.24 (0.09)

0.27 (0.10)

0.37 (0.09)

0.52 (0.06)

0.52 (0.07)

0.52 (0.07)

0.61 (0.06)

Sweden

0.12 (0.05)

0.08 (0.05)

0.13 (0.08)

0.15 (0.08)

0.16 (0.10)

0.16 (0.10)

0.16 (0.10)

0.16 (0.10)

0.44 (0.10)

0.47 (0.10)

Arab Republic of Syria

0.01 (0.03)

0.00 (0.02)

0.01 (0.03)

0.01 (0.03)

0.02 (0.03)

0.03 (0.05)

0.05 (0.06)

0.05 (0.05)

0.09 (0.07)

0.15 (0.09)

Thailand

0.01 (0.02)

0.09 (0.10)

0.09 (0.10)

0.09 (0.10)

0.10 (0.10)

0.10 (0.10)

0.10 (0.10)

0.11 (0.10)

0.12 (0.11)

0.12 (0.11)

Tunisia

0.05 (0.04)

0.05 (0.04)

0.08 (0.06)

0.08 (0.06)

0.10 (0.06)

0.09 (0.06)

0.10 (0.06)

0.10 (0.06)

0.13 (0.06)

0.16 (0.05)

Turkey

0.21 (0.06)

0.23 (0.07)

0.35 (0.08)

0.41 (0.08)

0.42 (0.07)

0.43 (0.07)

0.46 (0.07)

0.49 (0.07)

0.50 (0.07)

0.50 (0.07)

Ukraine

0.00 (0.01)

0.01 (0.02)

0.06 (0.05)

0.09 (0.07)

0.09 (0.07)

0.09 (0.07)

0.11 (0.09)

0.18 (0.08)

0.23 (0.07)

0.26 (0.06)

United Arab Emirates

0.02 (0.01)

0.02 (0.01)

0.17 (0.04)

0.24 (0.04)

0.24 (0.04)

0.25 (0.04)

0.28 (0.04)

0.28 (0.04)

0.31 (0.04)

0.31 (0.04)

United Arab Emirates (Abu Dhabi)

0.02 (0.03)

0.01 (0.03)

0.10 (0.06)

0.21 (0.07)

0.21 (0.07)

0.22 (0.07)

0.34 (0.07)

0.37 (0.07)

0.38 (0.07)

0.39 (0.06)

United Arab Emirates (Dubai)

0.08 (0.05)

0.12 (0.05)

0.38 (0.07)

0.41 (0.07)

0.41 (0.06)

0.42 (0.07)

0.41 (0.07)

0.42 (0.06)

0.44 (0.06)

0.45 (0.06)

United States

0.27 (0.10)

0.28 (0.10)

0.28 (0.10)

0.38 (0.20)

0.41 (0.22)

0.41 (0.22)

0.41 (0.22)

0.41 (0.22)

0.42 (0.23)

0.42 (0.23)

Cross-country average

0.12 (0.01)

0.15 (0.01)

0.20 (0.01)

0.24 (0.01)

0.25 (0.01)

0.26 (0.01)

0.30 (0.01)

0.31 (0.01)

0.34 (0.01)

0.36 (0.01)

  1. Standard errors appear in parenthesis
  2. * Variables included in model: Model 1: BCBG03A; Model 2: BCBG03A, BCBG03B; Model 3: BCBG03A, BCBG03B, BCBG11D; Model 4: BCBG03A, BCBG03B, BCBG11D, BCBG11H; Model 5: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E; Model 6: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E, BCBG11F; Model 7: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E, BCBG11F, BCBG05B; Model 8: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E, BCBG11F, BCBG05B, BCBG05A; Model 9: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E, BCBG11F, BCBG05B, BCBG05A, BCBG12AB; Model 10: BCBG03A, BCBG03B, BCBG11D, BCBG11H, BCBG11E, BCBG11F, BCBG05B, BCBG05A, BCBG12AB, BCBG05C