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  • Testing impact of policy change with DID

    Hello Statalist! I have panel data on 50 states and 19 time periods, and I am attempting to isolate the impact of a policy change in a small number of the states. I have data on 5 time periods before the policy was implemented, and 14 periods afterwards. I am estimating the following DID model

    areg dep interaction post_treat treatment [controls] i.year, absorb(state) robust

    where post_treat is the time period dummy variable (post_treat=0 if in the pre-treatment period, post_treat=1 if in the post treatment period) treatment is the dummy variable indicating the treatment group (treatment=0 if in the control group, treatment=1 if in the treatment group), and interaction is the interaction term between post_treat and treatment. My principle concern is this: I would like to relax the constant treatment effect assumption, because the policy impacts a different number of people choose to participate in the policy in each time period (I have this information as well as a percent of the population). Is this a sensible course of action? How would I go about doing that? If DID is a waste of time, should I stick with my fixed effects OLS models and synthetic matching, or is there another methodology worth exploring?

    Thanks for any help. Looking forward to hearing from you.

    Jake
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