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I want to use fixed effect model but I want to test an interaction between female(1 if true) which is not changing across users(id). I wrote Stata code shown below and the results are shown after.

IS it correct to do such cross level interaction in a fixed effect model. IF it is significant, how can I interpret the results?

Many thanks if anyone can help.

DV: wage IV: working experience, working weeks, and whether is a female. xtset id t xtreg lwage experience weeks i.female#c.experience, fe

The results is shown below: enter image description here

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This is fine. I guess you meant to say that female does not vary across time, $t$, not across users, $id$. Because your experience varies across time, the new variable, $1.female*c.experience$ will not be dropped. The interpretation is standard for an interaction of a continuous and binary variable. The effect of a 1-year increase in experience on wages is 0.48% lower for women compared to men.

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  • $\begingroup$ Thank you so much for the detailed illustration. It helps a lot! Now I am confident about using such interaction terms. $\endgroup$
    – Tim
    Commented Mar 19, 2019 at 21:19

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