I am currently conducting a difference in difference (DID) analysis and fail to understand the benefits of fixed effects models in such cases. I ran a regular DID model with three regular independent variables (time, treatment and their interaction), however when I run the model with time (day) and stock fixed effects with the time and treat variable dropped, I essentially get the same results. Note: The dataset is panel data.
I initially tried to run the fixed effects version in order to control for the risk of every single company in my sample, but now I do not understand the benefit. Is the equivalence of results always the case?