Question

Consider the following model for wage: log(wage) = ?0 + ?1female + ?2married + ?3educ +...

Consider the following model for wage: log(wage) = ?0 + ?1female + ?2married + ?3educ + ?4exper + u

where educ is years of education, exper is years of experience, female = 1 if individual is a woman, = 0 otherwise, and married = 1 if individual is married, = 0 otherwise.

(a) What is the benchmark group in this model? 1

(b) Modify this model (using interaction terms) so that the return to education can vary by marital status.

(c) Modify this model (using interaction terms) so that the return to experience can vary by gender and explain how you would test the null hypothesis that there are no gender differences in returns to experience.

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Answer #1

a) The bench mark group is unmarried male.

b) Now model will be

log(wage) = ?0 + ?1married + ?2educ + ?3exper + u

c) Now it will be

log(wage) = ?0 + ?1female + ?2educ + ?3exper +?4exper*female+ u

To check for no gender differences in return to experience we will check the null hypothesis

Ho : b4 =0

Ha: b4 != 0

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