Causal Inference, Instrumental Variable, Ab Testing, Encouragement Design, Average Treatment Effect.
convert-compliers. Thus, q₀₀ + q₀₁ + q₂₀ + q₂₁ = 0.2. Similarly, eight such equations can be derived: Using the notation pij.k := P(Y=i, X=j | Z=k) The ATE can be expressed in terms of qij as well, since If everyone was treated If no one was treated: Thus Bounds for the ATE can be obtained using