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Table 2 linear DID estimation process with two-way fixed effects models

From: Lead contamination of public drinking water and academic achievements among children in Massachusetts: a panel study

 

Cohort A

(no change in WLL)

Cohort B

(WLL increased by 1 unit)

t

β1WLLAt + β2ZAt + αA + γt + ϵAt

β1WLLBt + β2ZBt + αB + γt + ϵBt

t + 1

β1WLLAt + β2ZA, t + 1 + αA + γt + 1 + ϵA, t + 1

β1(WLLBt + 1) + β2ZB, t + 1 + αB + γt + 1 + ϵB, t + 1

E(Difference)

β2(ZA, t + 1 − ZAt) + (γt + 1 − γt)

β1 + β2(ZB, t + 1 − ZBt) + (γt + 1 − γt)

DID

β1 + β2[(ZB, t + 1 − ZBt) − (ZA. t + 1 − ZAt)]