I am trying to examine the association between maternal education and child school test scores using the following equation.

TestScore = β0 + β1 EduYrMom+ β2 FemaleChild+ β3 EduYrMom * FemaleChild + εij

where TestScores is the test score of the child, EduYrMom is the years of education of the child’s mother, FemaleChild is a binary value which equals 1 if the child is a girl. The following regression coefficients are obtained using Stata’s regress command.

For model 1, it seems that mother’s education is positively and significantly associated with test scores of female children, but not for boys. For model 2, I find that mother’s education is significantly associated with test scores of boys only. For model 3, mother’s education is significantly and positively associated with the test scores of both boys and girls.

I was wondering whether my interpretations are correct. I am also not sure how to interpret B3, the coefficient of the interaction term, which is insignificant for all the 3 models. I look forward to your suggestions.

Monzur