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Table 4 LS and QR estimates of the effects of covariate on reading comprehension—fifth grade

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

 

LS

Reading comprehension—L5

QR

\(\theta = 0.1\)

\(\theta = 0.25\)

\(\theta = 0.5\)

\(\theta = 0.75\)

\(\theta = 0.9\)

p value equiv.test

(Intercept)

198.06

150.92

171.60

198.76

224.45

245.66

 
 

(1.09)

(1.89)

(1.53)

(1.43)

(1.62)

(1.80)

 

Female

2.81

4.97

4.62

1.89

1.81

2.46

< 0.01

 

(0.55)

(0.89)

(0.76)

(0.63)

(0.84)

(1.02)

 

Early enrolment

−0.51

0.30

−1.13

−0.36

−2.22

−4.64

0.80

 

(2.60)

(3.73)

(3.46)

(3.92)

(3.85)

(5.14)

 

Late enrolment

−11.25

−14.39

−13.59

−12.26

−8.81

−4.39

< 0.05

 

(1.98)

(3.67)

(2.28)

(2.94)

(3.34)

(3.00)

 

Kindergarten:yes

3.08

3.37

5.01

2.71

0.05

1.36

< 0.05

 

(1.01)

(1.77)

(1.47)

(1.32)

(1.47)

(1.72)

 

Immigrant

−11.15

−11.09

−12.03

−11.58

−10.07

−11.15

0.41

 

(1.02)

(1.51)

(1.19)

(1.68)

(1.44)

(2.30)

 

Centre-Italy

0.48

−2.64

0.04

0.92

1.57

1.29

< 0.05

 

(0.78)

(1.08)

(1.01)

(0.91)

(1.06)

(1.25)

 

South-Italy

−5.77

−9.97

−8.55

−6.33

−3.04

−2.19

< 0.01

 

(0.64)

(1.17)

(1.07)

(0.75)

(0.91)

(1.07)

 

ESCS

11.19

11.13

11.28

11.18

11.49

11.47

0.92

 

(0.30)

(0.49)

(0.37)

(0.38)

(0.46)

(0.58)

 
  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