causal-inference-mixtape
DevelopmentThis skill should be used when the user asks to "implement a DiD regression", "write a causal inference pipeline", "set up an event study", "implement instrumental variables", "run a regression discontinuity design", "build a synthetic control model", "implement propensity score matching", "write parallel trends test", "implement Bacon decomposition", or needs code templates for causal inference methods in Python, R, or Stata. Based on Scott Cunningham's Causal Inference: The Mixtape.
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Causal Inference: The Mixtape — Code Skill
Practitioner-oriented causal inference skill built from Scott Cunningham's Causal Inference: The Mixtape repository. Covers 10 identification strategies with ready-to-run code templates in Python, R, and Stata.
Methods Covered
| Method | Python | R | Stata | Reference |
|---|---|---|---|---|
| OLS / Regression | statsmodels | estimatr | reg/reghdfe | references/method-patterns.md §1 |
| Difference-in-Differences | statsmodels + C() | lfe/fixest | xtreg/reghdfe | references/method-patterns.md §2 |
| Event Study (Dynamic DiD) | manual lead/lag | estimatr | reghdfe | references/method-patterns.md §3 |
| Staggered DiD / TWFE | statsmodels | bacondecomp | bacondecomp | references/method-patterns.md §4 |
| Regression Discontinuity | statsmodels polynomial | rdrobust | rdplot/rdrobust | references/method-patterns.md §5 |
| Instrumental Variables | linearmodels IV2SLS | AER/ivreg | ivregress 2sls | references/method-patterns.md §6 |
| Synthetic Control | rpy2 → R Synth | Synth + SCtools | synth | references/method-patterns.md §7 |
| Matching / PSM / IPW | manual logit + weights | MatchIt + Zelig | teffects/cem | references/method-patterns.md §8 |
| DAGs / Collider Bias | dagitty (conceptual) | dagitty/ggdag | — | references/method-patterns.md §9 |
| Randomization Inference | permutation loop | ri2 | ritest | references/method-patterns.md §10 |
Core Workflow
Implement a Causal Method
- Identify the method from the table above
- Load the appropriate template from
references/method-patterns.md - Adapt variable names, fixed effects, and clustering to the user's data
- Add robustness checks (parallel trends for DiD, McCrary for RDD, first-stage F for IV)
Choose the Right Language
| Scenario | Recommendation |
|---|---|
| ML pipeline integration | Python (statsmodels + linearmodels) |
| Synthetic Control | R (Synth package) or Stata (synth) — Python lacks mature implementation |
| Bacon decomposition | R (bacondecomp) or Stata — no Python equivalent |
| Publication-ready tables | Stata (outreg2/esttab) or R (stargazer/modelsummary) |
| Coarsened Exact Matching | Stata (cem) or R (MatchIt) — no Python equivalent |
| Quick prototyping | Python with statsmodels |
Cross-Language Equivalents
| Task | Python | R | Stata |
|---|---|---|---|
| OLS with robust SE | smf.ols().fit(cov_type='HC1') | lm_robust() | reg y x, robust |
| Cluster SE | fit(cov_type='cluster', cov_kwds={'groups': g}) | `felm(y ~ x | 0 |
| Two-way FE | C(id) + C(time) in formula | `felm(y ~ x | id + time)` |
| IV / 2SLS | IV2SLS.from_formula('y ~ 1 + exog + [endog ~ inst]') | `ivreg(y ~ exog | inst)` |
| DiD | C(treat)*C(post) | treat:post in formula | did_multiplegt or interaction |
Key Python Patterns
DiD with Cluster-Robust SE
import statsmodels.formula.api as smf
model = smf.ols('y ~ C(treated)*C(post) + controls', data=df)
results = model.fit(cov_type='cluster', cov_kwds={'groups': df['firm_id']})
Event Study (Lead/Lag)
# Create relative time dummies
for k in range(-4, 5):
col = f'rel_{k}' if k >= 0 else f'rel_m{abs(k)}'
df[col] = (df['relative_time'] == k).astype(int)
# Drop t=-1 as reference
formula = 'y ~ ' + ' + '.join([c for c in rel_cols if c != 'rel_m1']) + ' + C(id) + C(year)'
IV / 2SLS
from linearmodels.iv import IV2SLS
model = IV2SLS.from_formula('y ~ 1 + exog + [endog ~ instrument]', data=df)
results = model.fit(cov_type='clustered', clusters=df['cluster_var'])
Robustness Check Patterns
| Method | Required Checks |
|---|---|
| DiD | Parallel trends (event study plot), placebo treatment dates |
| RDD | McCrary density test, bandwidth robustness (half/double IK optimal), polynomial robustness |
| IV | First-stage F > 10, exclusion restriction argument, over-identification test |
| Synthetic Control | Pre-treatment RMSPE, placebo distribution, leave-one-out |
| Matching | Covariate balance table, caliper sensitivity |
Common Pitfalls
- TWFE with staggered treatment — standard two-way FE is biased when treatment timing varies. Use Bacon decomposition or Sun & Abraham / Callaway & Sant'Anna estimators.
- Synthetic Control with many treated units — the Synth package handles one treated unit. For multiple, use augmented synthetic control or stacked approach.
- RDD without McCrary test — always test for manipulation at the cutoff before estimating.
- IV weak instruments — report first-stage F-statistic. Below 10 indicates weak instrument bias.
- Python Synth gap — no mature Python Synth package exists. Use
rpy2to call R'sSynthfrom Python.
Additional Resources
Reference Files
references/method-patterns.md— Detailed code templates for all 10 methods with full examplesreferences/r-stata-comparison.md— Cross-language package comparison and method coverage gaps
Prompt Files
prompts/01-implement-method.md— Copy-paste prompt for implementing any causal methodprompts/02-robustness-checks.md— Copy-paste prompt for generating robustness check code