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Week 1

Week 2

Jan 16
Homework HW1 Released
Google Doc
Lecture Inference in linear models
[PPTX]
[PDF]
[Demo Code]
Basics of statistical inference in linear models; confidence intervals for p « n; interpretation of coefficient as partialling out; inference on ATE from trials via regression; Revisiting the role of covariates in randomized trials: precision and heterogeneity: variance characterization and comparisons
Reading Materials
Coding Materials
Further Reading
Jan 18
Lecture Inference in linear models
[PPTX]
[PDF]
[Demo Code]
Basics of statistical inference in linear models; confidence intervals for p « n; interpretation of coefficient as partialling out; inference on ATE from trials via regression; Revisiting the role of covariates in randomized trials: precision and heterogeneity: variance characterization and comparisons
Reading Materials
Coding Materials
Further Reading

Week 3

Jan 23
Lecture Prediction in high dimensional linear models
[PPTX]
[PDF]
High dimensional methods and prediction; regularization; lasso; elasticnet;
Reading Materials
Coding Materials
Jan 25
Lecture Inference in high-dimensional linear models
[PPTX]
[PDF]
[Demo Code]
double lasso; partialling out; intro to Neyman orthogonality; joint inference on multiple parameters
Reading Materials
Coding Materials

Week 4

Jan 29
Homework HW2 Released
Google Doc
Jan 30
Lecture Causality in observational data
[PPTX]
[PDF]
confounding; conditional ignorability; identification by conditioning; identification via propensity scores
Reading Materials
Further Reading
Feb 1
Lecture Structural Equations Models and DAGs
[PPTX]
[PDF]
language of structural equation models (SEMs); conditional exogeneity; language of interventions and “fixing”; direct and in-direct effects
Reading Materials
Further Reading

Week 5

Feb 6
Lecture General DAGs and Counterfactuals
[PPTX]
[PDF]
Single World Intervention Graphs (SWIGs); D-separation; Interventions; Re-visting identification by conditioning; Proof of D-separation implies conditional independence
Reading Materials
Further Reading
Feb 8
Homework HW2 Due
gradescope
Lecture Valid Adjustments Sets from DAGs
[PPTX]
[PDF]
[Demo Py]
[Demo R]
Single World Intervention Graphs (SWIGs); Graphical criteria for valid adjustment sets; Good and Bad controls
Reading Materials
Further Reading

Week 6

Week 7

Feb 20
Lecture Statistical inference with non-linear models
[PPTX]
[PDF]
Debiased ML for ATE under partially linear and fully non-linear models; Generic debiased ML framework
Reading Materials
Coding Materials
Feb 22
Lecture Statistical inference with non-linear models 2
[PPTX]
[PDF]
Finalizing theory; Examples; segway to unobserved confounding and omitted variable bias;
Reading Materials
Coding Materials
Feb 23
Homework HW3 Released
Google Doc

Week 8

Week 9

Mar 5
Lecture Heterogeneous Effects and Policy Learning
[PPTX]
[PDF]
Estimation of Conditional Average Treatment Effects (CATE); Best Linear CATE; Inference on Best Linear CATE
Further Reading
Mar 7
Homework HW3 Due
Lecture Heterogeneous Effects and Policy Learning 2
[PPTX]
[PDF]
[Demo Code]
Estimation of CATE from observational data; meta learners;
Further Reading
Coding Materials

Week 10


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