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Sep 16, 2021 at 10:15 comment added Michael Gmeiner The second equation in my answer does this. The coefficient, $\alpha_i$, differs for each individual, measuring an unit-specific time trend.
Sep 16, 2021 at 10:05 comment added Phil Nguyen Can I ask for an example of adding a unit-specific trends if it is convenient? Thanks a heaps
Sep 16, 2021 at 10:04 vote accept Phil Nguyen
Sep 16, 2021 at 9:59 comment added Michael Gmeiner ""general time trend" would be perfect colinear with time fixed effect, is it what you mean then?" Yes.
Sep 16, 2021 at 9:59 comment added Michael Gmeiner Lag variable is different than time trends. A lag variable might be as follows: $y_{it} = \beta_0 +\beta_1 x_{it} + \beta_2 Z_{it-1} +\gamma_i +\delta_t +u_{it} $Z$ is used generically. $Z$ could be a lagged $X$ variable, or instead a lagged outcome variable. There are issues with lagged outcome variables, and I'm guessing that's not relevant to your case.
Sep 16, 2021 at 9:46 comment added Phil Nguyen "general time trend" would be perfect colinear with time fixed effect, is it what you mean then? Thanks
Sep 16, 2021 at 9:44 comment added Phil Nguyen Thank @Micheal , can I ask an example of controlling for "unit-specific trends" is unit's lag variable?
Sep 16, 2021 at 9:04 history answered Michael Gmeiner CC BY-SA 4.0