An Introduction to Potential Outcomes, DAGs and Single-World Intervention Graphs
summary
Shows how a randomized encouragement design with noncompliance (binary Z, X, Y) becomes multiple observational studies, builds one polytope per Z level and takes their intersection of polytopes to get tight bounds on the average causal effect (example produces ACE bounds ≈ 0.39–0.78), derives the linear falsification inequalities that detect direct Z→Y effects, and contrasts a naive Dirichlet/MCMC approach (extremely prior‑sensitive) with a reparameterization on the observed distribution for more stable Bayesian or frequentist inference.
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chapters (12)
- 0:00Start
- 0:17Interactive Plots
- 4:07Summary
- 5:14Instrumental Variables
- 22:37Encouragement Design
- 25:27Exclusion Assumption
- 31:06Previous Results
- 44:40Falsification Test of the Binary Iv Model
- 50:33Two Approaches to Bayesian Inference
- 59:13Average Causal Effect
- 1:02:34Bayesian Approaches
- 1:03:53Inference for the Observed Distribution
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