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An IERI – International Educational Research Institute Journal

Table 5 LS and QR estimates of the effects of covariate on mathematics achievement in primary school—fifth grade

From: Beyond the mean estimate: a quantile regression analysis of inequalities in educational outcomes using INVALSI survey data

 

LS

Mathematics—L5

QR

\(\theta = 0.1\)

\(\theta = 0.25\)

\(\theta = 0.5\)

\(\theta = 0.75\)

\(\theta = 0.9\)

p value equiv.test

(Intercept)

206.60

154.20

177.62

207.41

235.34

259.17

 
 

(1.07)

(2.05)

(1.50)

(1.56)

(1.62)

(2.14)

 

Female

−7.74

−2.07

−5.91

−8.85

−10.94

−10.77

< 0.01

 

(0.55)

(1.01)

(0.74)

(0.72)

(0.74)

(1.07)

 

Early enrolment

−1.45

5.05

5.33

−4.13

−7.70

−5.69

< 0.01

 

(2.61)

(3.63)

(2.26)

(2.25)

(2.88)

(5.44)

 

Late enrolment

−13.93

−19.97

−15.44

−12.13

−9.07

−9.96

< 0.05

 

(1.93)

(3.62)

(2.62)

(3.30)

(3.13)

(3.24)

 

Kindergarten:yes

0.77

3.18

3.07

0.24

−1.78

−2.30

0.06

 

(0.99)

(1.94)

(1.36)

(1.47)

(1.58)

(2.00)

 

Non-native

−8.24

−8.57

−7.44

−9.04

−8.21

−7.05

0.55

 

(1.01)

(1.66)

(1.44)

(1.35)

(1.75)

(1.82)

 

Centre-Italy

−1.55

−0.79

−1.39

−1.36

−1.43

−2.75

0.80

 

(0.75)

(1.27)

(0.89)

(1.01)

(1.08)

(1.52)

 

South-Italy

−7.73

−9.71

−8.36

−8.59

−7.39

−5.59

< 0.05

 

(0.75)

(1.19)

(0.83)

(0.72)

(0.85)

(1.18)

 

ESCS

10.15

9.66

10.70

10.84

10.24

9.46

< 0.01

 

(0.30)

(0.56)

(0.38)

(0.43)

(0.48)

(0.57)

 
  1. In Italic estimates with p < 0.05.Standard errors in parenthesis computed with non-clustered bootstrap estimation. In the last column the p value of the equivalence test (equiv.test) results