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Table 3 Instrumental variable estimates

From: Examining the relationship between commuting time, academic achievement, and mental health in rural China: a cross-sectional analysis

Ìý

(1)

(2)

(3)

(4)

Commute time, hours (1. stage)

Endline Standardized Math Scores

Commute time, hours (1. stage)

Mental Health

Commuting time, hours

-

-1.433***

-

15.838***

(0.361)

(4.081)

Square km per inhabitant in county

-5.459***

-

-5.340***

-

(1.402)

(1.400)

Share of population in county living in urban areas

-0.101***

-

-0.103***

-

(0.035)

(0.035)

F-test for weak instruments

46.129

-

45.688

-

Test for over identifying restrictions (p-value)

-

0.755

-

0.771

Controls

Yes

Yes

Yes

Yes

N

12,323

12,323

11,978

11,978

R-squared

0.0866

0.2880

0.0870

0.2685

  1. Note:
  2. a. The control variables in TableÌý2 were included in all regressions
  3. b. * p < 0.10, ** p < 0.05, *** p < 0.01. P < 0.1 was considered statistically significant in this study