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An IERI – International Educational Research Institute Journal

Table 5 Hierarchical two-level binary logistic regression model for high achievement in mathematics, PISA 2012

From: Examining high achievement in mathematics and science among post-primary students in Ireland: a multilevel binary logistic regression analysis of PISA data

 

Step 1

Step 2

Step 3

Step 4

R 2

student-level (%)

15.9

46.4

45.0

41.8

school-level (%)

   

36.4

Threshold ( SE )

2.31 (0.09)

3.28 (0.29)

3.32 (0.23)

3.25 (0.22)

Student-level variables (reference category)

β ( SE )

β  ( SE )

β  ( SE )

β  ( SE )

OR

Student sex (male)

− 0.24 (0.08)**

− 0.04 (0.11)

   

Family economic, social and cultural status

0.38 (0.04)***

0.23 (0.05)***

0.25 (0.05)***

0.22 (0.05)***

1.87

Student mathematics anxiety

 

− 0.25 (0.07)***

− 0.22 (0.05)***

− 0.23 (0.05)***

0.53

Student attributions to failure in mathematics

 

0.02 (0.05)

   

Student instrumental motivation in mathematics

 

0.01 (0.06)

   

Student interest in mathematics

 

− 0.12 (0.07)

   

Student mathematics behaviour

 

− 0.04 (0.07)

   

Student mathematics self-efficacy

 

0.30 (0.06)***

0.30 (0.06)***

0.32 (0.06)***

2.22

Student mathematics intentions

 

− 0.01 (0.06)

   

Student mathematics work ethic

 

− 0.10 (0.07)

   

Student openness for problem-solving

 

0.21 (0.07)**

0.17 (0.06)**

0.17 (0.06)**

1.55

Student perseverance

 

− 0.02 (0.05)

   

Student mathematics self-concept

 

0.14 (0.09)

   

Disciplinary climate in mathematics classes

  

0.08 (0.06)

  

ICT availability at school

  

− 0.08 (0.05)

  

School-level variables

     

School mean of family economic, social and cultural status

   

− 0.16 (0.26)

 

School size

   

0.27 (0.26)

 

Student-related factors affecting school climate

   

0.37 (0.42)

 

Shortage of educational staff in the school

   

− 0.09 (0.26)

 

Fit statistics

Loglikelihood (H0)

-1455.30

-349.19

-359.24

-337.36

AIC

2918.59

728.39

734.49

694.72

BIC

2944.64

809.00

777.64

747.83

  1. Note. Null model: Threshold (SE): 2.45 (0.11), H0 = -1557.69, AIC = 3119.38, BIC = 3132.42. *p < .05; **p < .01; ***p < .001