Frontdoor adjustment ATE.
For treatment X → mediator M → outcome Y (with no backdoor X↔Y): P(Y|do(X)) = Σ_m P(m|x) Σ_x' P(Y|x',m) P(x')
Linear approximation: β_M * β_X (product of coefficients)
Frontdoor adjustment ATE.
For treatment X → mediator M → outcome Y (with no backdoor X↔Y): P(Y|do(X)) = Σ_m P(m|x) Σ_x' P(Y|x',m) P(x')
Linear approximation: β_M * β_X (product of coefficients)