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fixed effect counterfactual estimators
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How to interpret T=-1 coefficient on event study plot? #33

Open zhizhongpu opened 1 year ago

zhizhongpu commented 1 year ago

In most existing ES estimators, period-specific coefficients are normalized such that the coefficient at T=-1 equals 0. However, this seems not the case using your method (see figure). My collaborator and I are not sure about how to interpret this non-0 coefficient.

I am guessing that the coefficient reflects the absolute gap between treated units' factual and imputed counterfactual, and thus one can't just shift the coefficients so that $\delta_{T=-1}$ equals 0. My collaborator is instead guessing, however, based on Borusyak Jaravel and Spiess (2021), that you still use some pre-treatment period to normalize all coefficients.

Could you explain the non-0 $\delta_{T=-1}$?

image

xuyiqing commented 1 year ago

T = -1 is two periods before the treatment's onset. T = 0 is the last period before the treatment kicks in, different from BJS's notation. The way the imputation/counterfactual estimator works means that we use the average of all pretreatment periods as the benchmark. Hope this helps.

On Fri, Oct 6, 2023 at 6:24 AM zhizhongpu @.***> wrote:

In most existing ES estimators, period-specific coefficients are normalized such that the coefficient at T=-1 equals 0. However, this seems not the case using your method (see figure). My collaborator and I are not sure about how to interpret this non-0 coefficient.

I am guessing that the coefficient reflects the absolute gap between treated units' factual and imputed counterfactual, and thus one can't just shift the coefficients so that $\delta_{T=-1}$ equals 0. My collaborator is instead guessing, however, based on Borusyak Jaravel and Spiess (2021), that you still use some pre-treatment period to normalize all coefficients.

Could you explain the non-0 $\delta_{T=-1}$?

[image: image] https://user-images.githubusercontent.com/84325421/273219070-b6507bd1-e82c-4b94-a07c-cb1ce3593eff.png

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