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Table 6 Mixed effect models

From: European first-year university students accept evolution but lack substantial knowledge about it: a standardized European cross-country assessment

 

Model 1

Model 2

Model 3

Model 4

Model 5

Est. (b)

SE

CI95

Est. (b)

SE

CI95

Est. (b)

SE

CI95

Est. (b)

SE

CI95

Est. (b)

SE

CI95

Fixed effects

 Intercept

34.18***

1.3

[31.64; 36.72]

31.72***

1.3

[29.16; 34.26]

29.37***

1.28

[26.86; 31.85]

33.36***

1.23

[30.98; 35.75]

33.12***

1.23

[30.69; 35.54]

 Age

− 0.04

0.06

[− 0.17; 0.08]

− 0.04

0.06

[− 0.16; 0.09]

0

0.06

[− 0.12; 0.13]

− 0.01

0.06

[− 0.13; 0.11]

0

0.06

[− 0.12; 0.12]

 Sex (male)

 Female

− 1.15***

0.13

[− 1.41; − 0.89]

− 1.15***

0.13

[− 1.42; − 0.90]

− 0.88***

0.13

[− 1.14; − 0.63]

− 0.59***

0.13

[− 0.84; − 0.35]

− 0.61***

0.13

[− 0.86; − 0.36]

 University program (bio-related)

  Non-biology

   

− 0.33

0.18

[− 0.68; 0.01]

− 0.06

0.17

[− 0.40; 0.28]

− 0.03

0.17

[− 0.36; 0.30]

− 0.01

0.17

[− 0.34; 0.32]

 Interest in biology

   

0.47***

0.05

[0.38; 0.56]

0.37***

0.05

[0.27; 0.46]

0.32***

0.05

[0.23; 0.41]

0.32***

0.05

[0.23; 0.41]

  Knowledge

      

0.37***

0.03

[0.31; 0.42]

0.24***

0.03

[0.19; 0.29]

0.23***

0.03

[0.18; 0.29]

 Religious faith

         

− 0.12***

0

[− 0.12; − 0.11]

− 0.11***

0.01

[− 0.12; − 0.10]

  Denomination (none)

               

  Protestant

            

− 0.67**

0.25

[− 1.18; − 0.19]

  Christian free Churches

            

− 0.53

0.28

[− 1.07; 0.01]

  Catholic

            

0.29

0.18

[− 0.06; 0.65]

  Orthodox

            

0.09

0.26

[− 0.41; 0.60]

  Muslim

            

− 1.91***

0.45

[− 2.78; − 1.00]

  Other

            

− 0.27

0.26

[− 0.77; 0.23]

 

Std. dev

 

CI95

Std. dev

 

CI95

Std. dev

 

CI95

Std. dev

 

CI95

Std. dev

 

CI95

Variance components

     

 Country (Intercept)

1.59

 

[1.02; 2.04]

1.32

 

[0.85; 1.72]

1.01

 

[0.63; 1.32]

0.99

 

[0.62; 1.29]

1.02

 

[0.63; 1.33]

 Residual

4.63

 

[4.55; 4.71]

4.58

 

[4.50; 4.66]

4.52

 

[4.44; 4.60]

4.3

 

[4.23; 4.38]

4.29

 

[4.21; 4.36]

Model diagnostics

     

 AIC

36,849

  

36,698

  

36,530

  

35,920

  

35,889

  

 BIC

36,883

  

36,745

  

36,584

  

35,981

  

35,990

  

 \({X}^{2}\)

73.50***

  

155.30***

  

169.81***

  

611.62***

  

43.51***

  

 ICC

0.1

  

0.08

  

0.05

  

0.05

  

0.05

  

 Fixed Pseudo-R2

0.01

  

0.04

  

0.08

  

0.19

  

0.19

  

 Total Pseudo-R2

0.11

  

0.11

  

0.13

  

0.23

  

0.23

  
  1. Dependent variable: acceptance of evolution (ATEVO). Fixed effects: age, sex (reference male), university program (reference biology-related), interest in biology, knowledge about evolution (KAEVO), religious faith (PERF), denomination (reference none). Random intercept: country. Estimates (Est.), standard-errors (SE) and 95% confidence intervals (CI95) are reported for all fixed effects. Standard deviation (Std. Dev.) and 95% confidence intervals (CI95) are reported for variance components. Akaike information criterion (AIC), Bayesian information criterion (BIC), intraclass correlation coefficient (ICC) as well as LRT results (\({X}^{2}\)) are reported for all models. nstudents = 6227; ncountries = 20. *** p < .0.001, ** p < 0.01, * p < 0.05