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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The following model allows the return to education to depend upon the total amount of both parents’ education, called pareduc :
log( wage ) 5 b 0 1 b 1 educ 1 b 2 educ ? pareduc 1 b 3 exper 1 b 4 tenure 1 u .
Show that, in decimal form, the return to another year of education in this model is
∆log( wage )/∆ educ 5 b 1 1 b 2 pareduc .
What sign do you expect for b 2 ? Why?
Using the data in WAGE2.RAW, the estimated equation is
ïž§ log( wag e ) 5 5.65 1 . 047 educ 1 . 00078 educ ? pareduc 1
(.13) ( . 010) ( . 00021)
. 019 exper 1 . 010 tenure
( . 004) ( . 003)
n 5 722 , R 2 5 .169.
(Only 722 observations contain full information on parents’ education.) Interpret the coefficient on the interaction term. It might help to choose two specific values for pareduc —for example, pareduc 5 32 if both parents have a college education, or pareduc 5 24 if both parents have a high school education—and to compare the estimated return to educ .
When pareduc is added as a separate variable to the equation, we get:
ïž§ log( wag e ) 5 4.94 1 . 097 educ 1 . 033 pareduc 2 . 0016 educ ? pareduc
(.38) ( . 027) ( . 017) ( . 0012)
1 . 020 exper 1 . 010 tenure
( . 004) ( . 003)
n 5 722, R 2 5 . 174 .
Does the estimated return to education now depend positively on parent education? Test the null hypothesis that the return to education does not depend on parent education.
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