Causal inference
Graduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Graduate Causal inference — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Potential outcomes framework
- Treatment effects: ATE, ATT, and CATE — Treatment effects: ATE, ATT, and CATE
- Randomized experiments as gold standard — Randomized experiments as gold standard
- SUTVA and consistency assumptions — SUTVA and consistency assumptions
- Bias decomposition: confounding — Bias decomposition: confounding
- Selection — Selection
- DAGs for causal identification (introduction) — DAGs for causal identification (introduction)
Quasi-experimental methods
- Matching and propensity scores — Matching and propensity scores
- Inverse probability weighting — Inverse probability weighting
- Difference-in-differences — Difference-in-differences
- Regression discontinuity designs — Regression discontinuity designs
- Instrumental variables for causal effects — Instrumental variables for causal effects
Advanced identification
- Mediation analysis (introduction) — Mediation analysis (introduction)
- Sensitivity analysis for unmeasured confounding — Sensitivity analysis for unmeasured confounding
- Synthetic control methods (overview) — Synthetic control methods (overview)
- Causal inference with time-varying treatments (intro) — Causal inference with time-varying treatments (intro)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Potential outcomes framework
Treatment effects: ATE, ATT, and CATE
Coming soon - Quasi-experimental methods
Matching and propensity scores
Coming soon - Advanced identification
Mediation analysis (introduction)
Coming soon
Notes
Graduate Causal inference — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable). Topic outline: `content/topics/graduate/causal_inference.json`.