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An IERI – International Educational Research Institute Journal

Table 5 PIRLS grade 4explained variance of school-averaged reading 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*

Model 11*

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

R2 (adj.)

Australia

0.32 (0.09)

0.40 (0.07)

0.40 (0.08)

0.41 (0.08)

0.41 (0.08)

0.42 (0.09)

0.52 (0.06)

0.52 (0.06)

0.52 (0.06)

0.51 (0.07)

0.52 (0.06)

Austria

0.08 (0.05)

0.08 (0.05)

0.10 (0.05)

0.14 (0.05)

0.14 (0.06)

0.14 (0.05)

0.14 (0.06)

0.14 (0.06)

0.18 (0.06)

0.30 (0.06)

0.37 (0.05)

Republic of Azerbaijan

0.02 (0.05)

0.02 (0.07)

0.05 (0.08)

0.07 (0.08)

0.12 (0.06)

0.14 (0.08)

0.14 (0.08)

0.15 (0.09)

0.18 (0.08)

0.17 (0.15)

0.18 (0.15)

Belgium (French)

0.28 (0.07)

0.30 (0.05)

0.32 (0.05)

0.32 (0.05)

0.32 (0.06)

0.32 (0.06)

0.35 (0.06)

0.36 (0.06)

0.40 (0.06)

0.50 (0.05)

0.55 (0.06)

Botswana

0.28 (0.08)

0.40 (0.07)

0.47 (0.07)

0.57 (0.08)

0.58 (0.08)

0.58 (0.08)

0.60 (0.08)

0.61 (0.08)

0.62 (0.08)

0.62 (0.08)

0.58 (0.08)

Bulgaria

0.06 (0.07)

0.09 (0.09)

0.15 (0.07)

0.25 (0.07)

0.27 (0.08)

0.28 (0.09)

0.28 (0.09)

0.28 (0.10)

0.30 (0.09)

0.37 (0.08)

0.37 (0.08)

Canada

0.11 (0.03)

0.11 (0.03)

0.13 (0.03)

0.14 (0.03)

0.15 (0.03)

0.19 (0.04)

0.22 (0.04)

0.22 (0.04)

0.22 (0.04)

0.23 (0.04)

0.23 (0.05)

Canada (Alberta)

0.27 (0.08)

0.30 (0.09)

0.31 (0.09)

0.33 (0.09)

0.34 (0.09)

0.34 (0.09)

0.35 (0.09)

0.36 (0.09)

0.37 (0.10)

0.38 (0.10)

0.37 (0.10)

Canada (Ontario)

0.11 (0.05)

0.11 (0.05)

0.12 (0.05)

0.14 (0.07)

0.15 (0.07)

0.27 (0.07)

0.28 (0.08)

0.28 (0.08)

0.28 (0.08)

0.27 (0.08)

0.25 (0.08)

Canada (Quebec)

0.06 (0.06)

0.05 (0.06)

0.07 (0.08)

0.08 (0.10)

0.08 (0.10)

0.12 (0.10)

0.13 (0.11)

0.14 (0.12)

0.14 (0.14)

0.12 (0.16)

0.11 (0.16)

Chinese Taipei

0.40 (0.08)

0.40 (0.08)

0.54 (0.09)

0.61 (0.09)

0.61 (0.09)

0.62 (0.10)

0.73 (0.08)

0.73 (0.08)

0.73 (0.08)

0.75 (0.08)

0.77 (0.08)

Colombia

0.00 (0.02)

0.02 (0.04)

0.22 (0.09)

0.22 (0.09)

0.24 (0.09)

0.31 (0.12)

0.38 (0.11)

0.40 (0.10)

0.40 (0.10)

0.48 (0.12)

0.51 (0.12)

Croatia

0.10 (0.06)

0.09 (0.06)

0.27 (0.09)

0.30 (0.10)

0.30 (0.10)

0.30 (0.10)

0.30 (0.10)

0.31 (0.09)

0.33 (0.09)

0.35 (0.09)

0.36 (0.10)

Czech Republic

0.11 (0.07)

0.11 (0.08)

0.14 (0.07)

0.16 (0.07)

0.16 (0.07)

0.17 (0.07)

0.17 (0.07)

0.23 (0.07)

0.23 (0.07)

0.24 (0.07)

0.27 (0.08)

Denmark

0.14 (0.05)

0.15 (0.05)

0.16 (0.06)

0.18 (0.06)

0.18 (0.06)

0.18 (0.06)

0.21 (0.05)

0.21 (0.05)

0.22 (0.06)

0.24 (0.06)

0.25 (0.06)

England

0.27 (0.07)

0.32 (0.07)

0.31 (0.08)

0.35 (0.08)

0.35 (0.08)

0.39 (0.09)

0.39 (0.09)

0.39 (0.09)

0.40 (0.09)

0.50 (0.08)

0.55 (0.07)

Finland

0.07 (0.05)

0.08 (0.05)

0.09 (0.05)

0.14 (0.06)

0.14 (0.06)

0.15 (0.07)

0.16 (0.07)

0.21 (0.09)

0.21 (0.09)

0.24 (0.09)

0.28 (0.10)

France

0.25 (0.06)

0.25 (0.06)

0.26 (0.06)

0.25 (0.06)

0.25 (0.06)

0.26 (0.06)

0.30 (0.06)

0.36 (0.06)

0.37 (0.06)

0.37 (0.07)

0.38 (0.07)

Georgia

0.00 (0.01)

0.00 (0.01)

0.08 (0.05)

0.08 (0.05)

0.08 (0.05)

0.15 (0.05)

0.15 (0.06)

0.16 (0.06)

0.17 (0.06)

0.16 (0.05)

0.17 (0.06)

Germany

0.08 (0.05)

0.19 (0.10)

0.19 (0.10)

0.19 (0.10)

0.21 (0.09)

0.32 (0.10)

0.45 (0.06)

0.46 (0.06)

0.46 (0.06)

0.47 (0.06)

0.54 (0.07)

Republic of Honduras

0.13 (0.07)

0.23 (0.08)

0.28 (0.09)

0.28 (0.10)

0.28 (0.10)

0.36 (0.08)

0.36 (0.08)

0.40 (0.07)

0.41 (0.08)

0.43 (0.10)

0.43 (0.10)

Hong Kong. SAR

0.00 (0.00)

0.03 (0.05)

0.02 (0.06)

0.02 (0.06)

0.05 (0.07)

0.05 (0.08)

0.04 (0.08)

0.04 (0.09)

0.05 (0.08)

0.10 (0.10)

0.12 (0.10)

Hungary

0.26 (0.06)

0.48 (0.08)

0.55 (0.08)

0.55 (0.08)

0.56 (0.07)

0.57 (0.07)

0.58 (0.06)

0.58 (0.07)

0.59 (0.07)

0.57 (0.08)

0.60 (0.07)

Indonesia

0.06 (0.04)

0.08 (0.05)

0.12 (0.05)

0.12 (0.05)

0.13 (0.05)

0.13 (0.05)

0.13 (0.06)

0.14 (0.06)

0.14 (0.06)

0.26 (0.08)

0.26 (0.08)

Islamic Republic of Iran

0.06 (0.04)

0.08 (0.04)

0.32 (0.05)

0.32 (0.05)

0.33 (0.05)

0.36 (0.05)

0.39 (0.06)

0.40 (0.06)

0.42 (0.06)

0.43 (0.06)

0.43 (0.06)

Ireland

0.06 (0.05)

0.09 (0.07)

0.12 (0.08)

Models were not computed because questions ACBG16A and ACBG16B were not administered

Israel

0.21 (0.06)

0.33 (0.06)

0.35 (0.05)

0.35 (0.05)

0.35 (0.05)

0.38 (0.06)

0.40 (0.05)

0.41 (0.05)

0.41 (0.05)

0.41 (0.06)

0.45 (0.06)

Italy

0.02 (0.04)

0.01 (0.04)

0.01 (0.04)

0.01 (0.04)

0.03 (0.05)

0.03 (0.04)

0.04 (0.05)

0.04 (0.05)

0.04 (0.05)

0.04 (0.06)

0.09 (0.06)

Kuwait

0.01 (0.02)

0.00 (0.02)

0.00 (0.03)

−0.01 (0.03)

0.01 (0.05)

0.02 (0.05)

0.02 (0.05)

0.16 (0.09)

0.18 (0.09)

0.22 (0.11)

0.23 (0.12)

Lithuania

0.17 (0.06)

0.17 (0.05)

0.30 (0.06)

0.28 (0.06)

0.29 (0.06)

0.30 (0.06)

0.32 (0.06)

0.31 (0.06)

0.34 (0.08)

0.37 (0.07)

0.44 (0.08)

Malta

0.09 (0.07)

0.15 (0.07)

0.15 (0.09)

0.16 (0.09)

0.16 (0.09)

0.19 (0.08)

0.24 (0.08)

0.23 (0.08)

0.23 (0.07)

0.23 (0.08)

0.28 (0.08)

Malta (Maltese)

0.18 (0.06)

0.21 (0.07)

0.20 (0.07)

0.19 (0.07)

0.19 (0.08)

0.19 (0.08)

0.18 (0.08)

0.17 (0.08)

0.16 (0.08)

0.16 (0.09)

0.21 (0.10)

Morocco

0.10 (0.05)

0.10 (0.05)

0.20 (0.06)

0.20 (0.07)

0.20 (0.07)

0.20 (0.07)

0.20 (0.07)

0.24 (0.06)

0.24 (0.06)

0.36 (0.07)

0.35 (0.07)

Morocco (Grade 6)

0.14 (0.06)

0.14 (0.06)

0.26 (0.05)

0.27 (0.06)

0.27 (0.06)

0.27 (0.06)

0.32 (0.06)

0.35 (0.05)

0.35 (0.05)

0.38 (0.06)

0.35 (0.07)

Netherlands

0.22 (0.06)

0.23 (0.06)

0.26 (0.07)

0.27 (0.07)

0.28 (0.08)

0.28 (0.07)

0.28 (0.08)

0.29 (0.07)

0.30 (0.07)

0.32 (0.09)

0.32 (0.09)

New Zealand

0.19 (0.08)

0.26 (0.07)

0.26 (0.07)

0.29 (0.06)

0.31 (0.06)

0.31 (0.06)

0.31 (0.06)

0.32 (0.07)

0.32 (0.07)

0.33 (0.09)

0.33 (0.09)

Northern Ireland

0.24 (0.07)

0.25 (0.06)

0.24 (0.08)

0.24 (0.08)

0.25 (0.08)

0.29 (0.10)

0.29 (0.11)

0.30 (0.11)

0.31 (0.11)

0.36 (0.14)

0.43 (0.12)

Norway

0.03 (0.03)

0.05 (0.05)

0.15 (0.08)

0.18 (0.09)

0.20 (0.08)

0.23 (0.08)

0.27 (0.07)

0.27 (0.07)

0.28 (0.07)

0.29 (0.07)

0.28 (0.06)

Oman

0.07 (0.03)

0.14 (0.05)

0.15 (0.05)

0.15 (0.05)

0.20 (0.07)

0.24 (0.06)

0.24 (0.07)

0.24 (0.06)

0.26 (0.07)

0.25 (0.07)

0.29 (0.07)

Poland

0.17 (0.07)

0.17 (0.07)

0.24 (0.07)

0.26 (0.07)

0.28 (0.07)

0.29 (0.07)

0.29 (0.07)

0.29 (0.07)

0.32 (0.07)

0.33 (0.07)

0.34 (0.07)

Portugal

0.20 (0.08)

0.20 (0.08)

0.22 (0.08)

0.22 (0.08)

0.23 (0.08)

0.28 (0.08)

0.28 (0.08)

0.29 (0.08)

0.31 (0.09)

0.26 (0.10)

0.30 (0.12)

Qatar

0.03 (0.03)

0.08 (0.05)

0.21 (0.08)

0.24 (0.08)

0.27 (0.08)

0.27 (0.08)

0.30 (0.08)

0.31 (0.07)

0.32 (0.07)

0.31 (0.07)

0.24 (0.07)

Romania

0.03 (0.03)

0.06 (0.06)

0.17 (0.07)

0.20 (0.07)

0.21 (0.08)

0.21 (0.08)

0.22 (0.08)

0.25 (0.08)

0.25 (0.09)

0.37 (0.07)

0.36 (0.07)

Russian Federation

0.04 (0.04)

0.04 (0.04)

0.14 (0.06)

0.14 (0.06)

0.14 (0.06)

0.15 (0.06)

0.15 (0.06)

0.16 (0.06)

0.19 (0.07)

0.18 (0.07)

0.19 (0.09)

Saudi Arabia

0.08 (0.06)

0.11 (0.07)

0.11 (0.06)

0.14 (0.06)

0.16 (0.06)

0.20 (0.06)

0.21 (0.06)

0.29 (0.05)

0.29 (0.05)

0.28 (0.06)

0.30 (0.07)

Singapore

0.15 (0.06)

0.17 (0.06)

0.17 (0.06)

0.17 (0.06)

0.17 (0.06)

0.21 (0.06)

0.26 (0.06)

0.26 (0.06)

0.26 (0.06)

0.29 (0.06)

0.32 (0.06)

Slovak Republic

0.03 (0.02)

0.16 (0.06)

0.24 (0.06)

0.25 (0.06)

0.25 (0.06)

0.27 (0.07)

0.28 (0.07)

0.29 (0.07)

0.29 (0.07)

0.33 (0.08)

0.35 (0.08)

Slovenia

0.02 (0.04)

0.01 (0.04)

0.03 (0.05)

0.04 (0.05)

0.04 (0.05)

0.05 (0.05)

0.09 (0.05)

0.10 (0.05)

0.13 (0.05)

0.14 (0.06)

0.19 (0.10)

South Africa

0.26 (0.08)

0.39 (0.09)

0.48 (0.10)

0.51 (0.08)

0.56 (0.08)

0.57 (0.09)

0.62 (0.07)

0.62 (0.07)

0.62 (0.07)

0.62 (0.06)

0.63 (0.07)

Spain

0.29 (0.06)

0.30 (0.07)

0.31 (0.07)

0.34 (0.07)

0.34 (0.07)

0.34 (0.07)

0.35 (0.06)

0.36 (0.06)

0.36 (0.06)

0.39 (0.07)

0.39 (0.08)

Spain (Andalucía)

0.31 (0.07)

0.31 (0.07)

0.30 (0.07)

0.32 (0.07)

0.34 (0.08)

0.37 (0.08)

0.38 (0.08)

0.40 (0.08)

0.40 (0.08)

0.38 (0.08)

0.43 (0.08)

Sweden

0.10 (0.08)

0.10 (0.08)

0.10 (0.08)

0.13 (0.06)

0.14 (0.07)

0.15 (0.07)

0.16 (0.07)

0.19 (0.07)

0.21 (0.08)

0.20 (0.08)

0.25 (0.08)

Trinidad And Tobago

0.12 (0.06)

0.14 (0.07)

0.17 (0.08)

0.17 (0.08)

0.17 (0.08)

0.18 (0.08)

0.21 (0.08)

0.22 (0.08)

0.21 (0.07)

0.23 (0.08)

0.21 (0.08)

United Arab Emirates

0.03 (0.02)

0.07 (0.03)

0.10 (0.04)

0.13 (0.05)

0.13 (0.05)

0.13 (0.04)

0.17 (0.04)

0.20 (0.05)

0.20 (0.05)

0.19 (0.05)

0.21 (0.04)

United Arab Emirates (Abu Dhabi)

0.01 (0.02)

0.04 (0.03)

0.08 (0.04)

0.17 (0.05)

0.16 (0.05)

0.17 (0.05)

0.17 (0.05)

0.18 (0.05)

0.18 (0.05)

0.17 (0.07)

0.26 (0.08)

United Arab Emirates (Dubai)

0.19 (0.06)

0.20 (0.06)

0.22 (0.07)

0.22 (0.07)

0.22 (0.07)

0.23 (0.07)

0.26 (0.07)

0.29 (0.07)

0.28 (0.08)

0.27 (0.08)

0.30 (0.08)

United States

0.33 (0.04)

0.37 (0.04)

0.38 (0.05)

0.37 (0.05)

0.37 (0.06)

0.41 (0.05)

0.41 (0.05)

0.41 (0.06)

0.41 (0.06)

0.46 (0.05)

0.52 (0.06)

Cross-country average

0.13 (0.01)

0.17 (0.01)

0.21 (0.01)

0.23 (0.01)

0.24 (0.01)

0.26 (0.01)

0.28 (0.01)

0.29 (0.01)

0.30 (0.01)

0.32 (0.01)

0.34 (0.01)

  1. Standard errors appear in parenthesis
  2. * Variables included in model: Model 1: ACBG05C; Model 2: ACBG05C, ACBG13AB; Model 3: ACBG05C, ACBG13AB, ACBG05A; Model 4: ACBG05C, ACBG13AB, ACBG05A, ACBG16B; Model 5: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A; Model 6: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F; Model 7: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F, ACBG12E; Model 8: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F, ACBG12E, ACBG12H; Model 9: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F, ACBG12E, ACBG12H, ACBG12D; Model 10: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F, ACBG12E, ACBG12H, ACBG12D, ACBG03B; Model 11: ACBG05C, ACBG13AB, ACBG05A, ACBG16B, ACBG16A, ACBG12F, ACBG12E, ACBG12H, ACBG12D, ACBG03B, ACBG03A