I want to study a variable $Y_{it}$ that represents the profit of several firms over time. In particular I want to evaluate whether there is a structural break after a specific year. the idea is to run a model where I introduce time dummies for each year from the year of the break onwards:

$Y_{it}=\alpha + \beta_1Year_{break} + \beta_1Year_{break+1} + ... + \epsilon_{it}$

However, I want to account for possible unobservable heterogeneity across firms given that I have panel data.

  • If I demean $Y_{it}$ first and then run the model above, am I capturing the unobserved heterogeneity?
  • Aso, would it be similar to simply add firm-fixed effects in the model above? (The results differ when I run the model with a demeaned dependent variable vs. the one with firm fixed-effects and I would like to understand why)

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