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An IERI – International Educational Research Institute Journal

Table 3 Instrumental-variable models exploiting changes in compulsory schooling laws across US States.

From: Skills, earnings, and employment: exploring causality in the estimation of returns to skills

 

All levels of school attainment

At most high school

More than high school

At most high school

Age 35–54

Age 35–65

(1)

(2)

(3)

(4)

(5)

(6)

Second stage (dependent variable: log gross hourly wage)

 Numeracy

.661***

(.305)

.798***

(.246)

.659***

(.182)

 

.783***

(.273)

.633***

(.306)

 State fixed effects

X

X

X

X

X

X

 Age quartic

X

     

 Birth year fixed effects

 

X

X

X

X

X

 State-specific trends

     

X

First stage (dependent variable: numeracy skills)

 Minimum school-leaving age

.027***

(.005)

.029***

(.008)

.061***

(.016)

−.000

(.006)

.047***

(.020)

.057***

(.022)

 Instrument F statistic

25.9

15.1

14.5

0.0

5.7

6.5

 Observations

932

932

369

563

520

520

  1. Two-stage least squares regressions weighted by sampling weights. Sample: full-time employees in the United States. Second-stage coefficient is not displayed if the first-stage coefficient is insignificant. All regressions control for gender. Robust standard errors (adjusted for clustering at state level) in parentheses. Significance levels: * p < 0.10, ** p < 0.05, *** p < 0.01