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Causal Inference — Moving Beyond Correlation

Advanced TopicsCausal Inference🟢 Free Lesson

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Advanced Topics

Causal Inference — Beyond Correlation to Causation

Master causal inference methods to move beyond correlation and understand true cause-and-effect relationships in data. Essential for A/B testing and policy evaluation.

  • Do-Calculus — Pearl's framework for causal reasoning
  • Instrumental Variables — Addressing endogeneity in observational data
  • Difference-in-Differences — Estimating causal effects from natural experiments

"Correlation does not imply causation, but it sure does hint."

Causal Inference — Complete Guide

Causal inference goes beyond correlation to answer "what if" questions. Essential for treatment effects and decision-making.


Correlation vs Causation

Correlation vs Causation Diagram

Correlation vs CausationCorrelation ≈  CausationXY?Causation: X → YXYConfounding ExampleIce CreamDrowningHotWeather

DAGs (Directed Acyclic Graphs)

Causal DAG Examples

Common Causal DAG StructuresFork (Confounder)ZXYZ confounds X→YChain (Mediator)XMYX→M→Y (M mediates)ColliderXYZZ is collider (X→Z←Y)Fork: Z causes both X and Y | Chain: X causes M causes Y | Collider: X and Y both cause Z

Methods

Observational Methods:

  • Propensity Score Matching
  • Instrumental Variables
  • Difference-in-Differences
  • Regression Discontinuity
  • Double Machine Learning

Uplift Modeling:

  • Predict treatment effect, not outcome
  • Causal Forest
  • Meta-learners (T-learner, S-learner, X-learner)

Potential Outcomes Framework

Potential Outcomes Framework (Rubin Causal Model)Unit iY_i(1): Potential outcome under treatmentY_i(0): Potential outcome under controlIndividual Treatment Effectτ_i = Y_i(1) - Y_i(0)Fundamental Problem: Only one is observed!Average Treatment Effect (ATE)ATE = E[Y(1) - Y(0)] = E[τ_i]ATE is the causal effect we want to estimate

Key Takeaways


What to Learn Next

-> ML Ethics — Fairness, Bias, Interpretability and Responsible AI Learn about ml ethics — fairness, bias, interpretability and responsible ai.

-> A/B Testing for ML — Experiment Design and Statistical Rigor Learn about a/b testing for ml — experiment design and statistical rigor.

-> Model Evaluation — Metrics, Cross-Validation and Selection Learn about model evaluation — metrics, cross-validation and selection.

-> ML Research Methods — Reading Papers and Reproducibility Learn about ml research methods — reading papers and reproducibility.

-> ML System Design — Architecture and Production Patterns Learn about ml system design — architecture and production patterns.

-> Model Interpretability — SHAP, LIME and Explainable AI Learn about model interpretability — shap, lime and explainable ai.

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