Right now, I am designing an experiment, a Randomized Controlled Trial, with two treatment groups (T1: Access to Subsidy and No access to borrowing money; T2: No Access to subsidy but access to borrowing money) and one control group (T0: no access to subsidy neither to borrowing money). So I will have three dummies as independent variables (mutually exclusive) and I will assess their impact on one outcome continuous variable (Y).
I will collect monthly data throughout 5 years! Panel Data structure!
My goal is to see which one of my treatment groups achieves higher outcome and I would like to check if that difference is statistically significant!
What test should I perform? I would like to use a dif in dif analysis but I am not sure how to "write down" an regression equation with three groups at the same time I control for fixed effects!
Thanks for the help!