---
name: Full Empirical Analysis
slug: full-empirical-analysis
category: Data
description: Full Empirical Analysis provides a complete end-to-end workflow for applied empirical research in Python, covering data cleaning, variable construction, descriptive statistics, econometric modeling, robustness checks, and publication-ready tables and figures. It also includes specialized modes for target-trial emulation and ML causal inference, with explicit library choices and diagnostic steps.
github: "https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/00.1-Full-empirical-analysis-skill_Python"
language: Stata
stars: 3419
forks: 445
install: "npx degit https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/00.1-Full-empirical-analysis-skill_Python ~/.claude/skills/00.1-Full-empirical-analysis-skill_Python"
installs_to: ~/.claude/skills/00.1-Full-empirical-analysis-skill_Python
source_path: skills/00.1-Full-empirical-analysis-skill_Python/SKILL.md
collection_size: 25
category_size: 668
collection_url: "https://dirskills.com/collections/brycewang-stanford/Auto-Empirical-Research-Skills"
added: 2026-08-16T07:02:46.401Z
last_synced: 2026-08-16T07:02:46.401Z
canonical_url: "https://dirskills.com/skills/full-empirical-analysis"
---

# Full Empirical Analysis

Full Empirical Analysis provides a complete end-to-end workflow for applied empirical research in Python, covering data cleaning, variable construction, descriptive statistics, econometric modeling, robustness checks, and publication-ready tables and figures. It also includes specialized modes for target-trial emulation and ML causal inference, with explicit library choices and diagnostic steps.

**Install:**

```bash
npx degit https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/00.1-Full-empirical-analysis-skill_Python ~/.claude/skills/00.1-Full-empirical-analysis-skill_Python
```

## README

# Full Empirical Analysis — Classical Python Workflow

This skill is the *canonical* 8-step pipeline an applied economist runs on every empirical paper, written in the **traditional Python ecosystem** — no opinionated one-stop wrapper. Every step calls libraries directly (`pandas`, `numpy`, `scipy`, `statsmodels`, `linearmodels`, `pyfixest`, `rdrobust`, `econml`, `causalml`, `matplotlib`, `seaborn`), so the agent — or the user reading the agent's code — has full visibility and can swap any component.

**Companion skill**: if the user prefers a single-import agent-native DSL (`import statspai as sp`), route to `00-StatsPAI_skill` instead. **This skill is the opposite philosophy**: everything explicit, everything inspectable, every diagnostic run by hand, every plot shaped by the user.

## Philosophy

1. **Traditional stack, no magic.** Agents should be able to read every line and know exactly which library / estimator / standard error family is at work.
2. **Full pipeline, not just estimation.** 80% of the time on a real paper is steps 1–4 and 6–8. This skill treats them as first-class, not an afterthought.
3. **Rich outputs.** Every step produces at least one table or figure — never a single point estimate in isolation.
4. **Progressive disclosure.** SKILL.md gives the canonical call at each step; `references/` holds variant-specific depth (dozens of tests, estimator-specific diagnostics, plot recipes).
5. **Reproducible.** Every code block is runnable after `pip install -r requirements.txt` and `df = pd.read_csv(...)`.

## SkillOpt-style execution gate

Use this long playbook as a seed skill, not as a script to exhaustively apply. SkillOpt discipline: treat each local analysis-code change as a candidate patch that must beat a selection check and survive a held-out check before it becomes reusable boilerplate. Before writing or revising analysis code, compress the user's request into a task-local `best_skill` card:

```text
best_skill: <mode + design + artifact target>
train_signal: <current failure, user goal, or missing evidence>
selection_split: <focal dataset/spec/output used to judge the candidate>
heldout_gate: <checks the patch must pass beyond the focal example>
accepted_patterns: <rules to reuse after validation>
rejected_patterns: <failed shortcuts not to retry without new evidence>
patch_scope: <one estimator/sample/export/robustness change>
reject_if: <conditions that force rollback to the last passing spec>
```

1. **Route card**: record the mode (`econ`, `epi`, or `ml-causal`), estimand, identification design, focal outcome/treatment, package stack, and required artifacts.
2. **Bounded edit**: change one decision at a time (sample rule, estimator, clustering, export format, or robustness check). Prefer the smallest patch that can pass validation.
3. **Selection split discipline**: treat the user's immediate failure or requested artifact as the selection split. Reserve at least one alternate outcome, sample window, estimator family, or export target as the held-out gate.
4. **Held-out gate**: define checks before running code: row counts, key uniqueness, treatment support, missingness thresholds, expected table/figure files, and one non-focal robustness/specification that the change must not break.
5. **Reject buffer**: if a candidate spec fails the gate, log the failure, code diff, and gate output in `analysis_log.md`; revert to the last passing spec and do not retry the same unchecked pattern.
6. **Slow/meta update**: at the end of the task, write down `accepted_patterns` and `rejected_patterns` from the trajectory. Do not widen the canonical project template from a single passing run.
7. **Promote only after validation**: only turn a one-off fix into reusable project boilerplate after it passes the current data and at least one alternate outcome/sample/specification.

---

## Three domain modes (default = AER econ; alternates = epi & ML-causal)

The default playbook above is **AER-style applied econometrics** — the AEA convention: written-out estimating equation, identifying assumption, design horse-race, full robustness gauntlet. The skill **also** ships two parallel sub-pipelines for the other two big causal-inference traditions, each reusing the same Steps 1–4 (cleaning / construction / descriptives / diagnostics) and Step 8 (tables & figures) — only Step 5 (estimator) and Step 6/7 (robustness / mechanism) swap libraries:

| Mode | Reader convention | Step-5 estimator stack | Reporting stack | Jump to |
|---|---|---|---|---|
| **Default — Applied Econ (AER / QJE / AEJ)** | "Show the equation + identifying assumption + design horse-race; controls visible; clustered SE" | DID / IV / RD / SCM / matching / `pyfixest.feols` HDFE | AER house-style multi-column `pf.etable` / `Stargazer` + 8-section paper layout | Steps 1 → 8 (entire playbook below) |
| **Mode A — Epidemiology / Public Health** | "STROBE / TRIPOD-AI; target trial protocol; doubly-robust estimand; absolute & relative risk; KM survival" | Target-trial emulation · IPTW (`zepid`) · g-formula (`zepid` / hand-rolled) · TMLE (`zepid.causal.gformula` / `econml`) · Mendelian randomization (`pymr` / `rpy2`+`TwoSampleMR`) · KM/AFT (`lifelines`) | Same `pf.etable` + risk-difference / hazard-ratio / E-value rows | §A. Epidemiology pipeline |
| **Mode B — ML Causal Inference** | "DML / meta-learners / causal forest / DR-learner; CATE distribution; policy value" | DML (`econml.dml` / `doubleml`) · S/T/X/R/DR-Learner (`econml.metalearners` / `causalml`) · GRF causal forest (`econml.grf`) · Dragonnet/TARNet/CEVAE (`causalml`) · BCF (`pymc-bart`/`bcf-py`) · matrix completion | `pf.etable` ML horse-race + CATE plot + policy-value table + conformal PI (`mapie`) | §B. ML causal pipeline |

**How to invoke a non-default mode** (Claude / agent picks this up from the user's wording):

| User says... | Mode the skill switches to |
|---|---|
| "Run a DID / IV / RD / event study", "AER table", "applied micro" | Default (AER econ) — Steps 1 → 8 |
| "Target trial emulation", "g-formula", "IPTW", "TMLE", "Mendelian randomization", "STROBE / TRIPOD", "公共健康 / 流行病学", "epi pipeline", "RWE study", "cohort study", "case-control" | Mode A (Epi) — §A |
| "DML", "double machine learning", "causal forest", "meta-learner", "CATE", "Dragonnet", "BCF", "policy learning", "conformal causal", "fairness audit", "ML causal", "uplift modeling", "因果机器学习" | Mode B (ML causal) — §B |
| "Mix" (e.g. "estimate DID + then ML CATE on the heterogeneity") | Default + Mode B in sequence — every estimator returns a coefficient + SE pair, drop them all into one `pf.etable(...)` for the horse-race column |

The three modes share **the same Step 1–4 cleaning / Table 1 / diagnostics scaffolding, the same Step 8 export stack, and the same DAG-first identification logic** — switching modes only changes which Step-5 estimator family you reach for, not the surrounding paper structure. If you only want descriptive stats / Table 1 / a balance check, the AER `tableone` / `gtsummary`-style calls in Step 3 work identically across all three modes.

---

## Default Output Spec — Economics Empirical Paper

This skill defaults to the **applied-economics paper convention**. Unless the user explicitly asks for a single point estimate, every run produces the full publication-ready output set below. Treat it as the contract of Step 8 — **mandatory**, not opt-in.

### Required tables (always produced)

| # | Table | Source / library | Saves to |
|---|---|---|---|
| **T1** | Summary statistics & balance (treated vs control, with SMD / p-values) | `pandas.describe` + custom `table1()` (Step 3) | `tables/table1_balance.xlsx` + `.docx` + `.tex` |
| **T2** ★ | **Main results — multi-column regression M1→M6** (progressive controls + FE) | `pyfixest.feols` × 6 specs → `pf.etable()` / `Stargazer` (Step 5–6) | `tables/table2_main.xlsx` + `.docx` + `.tex` |
| **T3** | Mechanism / outcome ladder — same treatment, 3+ outcomes side-by-side | `feols` looped over `y ∈ {Y1, Y2, Y3, Y_main}` → `pf.etable` | `tables/table3_mechanism.xlsx` + `.docx` + `.tex` |
| **T4** | Heterogeneity — subgroup × main coef (gender, age, region, …) | subgroup `feols` × Wald → `pf.etable` (Step 7) | `tables/table4_heterogeneity.xlsx` + `.docx` + `.tex` |
| **T5** | Robustness battery — alt SE / alt cluster / alt sample / placebo, in **one** table | `feols` × variants → `pf.etable` (Step 6) | `tables/table5_robustness.xlsx` + `.docx` + `.tex` |

> **★ Table 2 is the centerpiece of every economics paper.** It is the multi-column regression table that walks the reader from raw correlation (M1) to the fully-specified design (M6: 2-way FE + interacted FE + cluster-robust SE). Do **not** collapse it into a single column. Do **not** report only the headline coefficient. The progression *is* the credibility argument: if M1→M6 is monotone and stable, the design is plausibly identifying; if it collapses on adding FE, that *is* the result.
>
> **Canonical 6 columns, in order:**
> 1. **M1** raw bivariate (`y ~ treat`)
> 2. **M2** + demographics (`+ age + edu`)
> 3. **M3** + sector controls (`+ tenure / firm_size / industry`)
> 4. **M4** + unit FE (`| worker_id`)
> 5. **M5** + 2-way FE (`| worker_id + year`)
> 6. **M6** + interacted FE (`| worker_id + year + industry^year`) with cluster-robust SE

### Required figures (always produced)

| # | Figure | Source / library | Saves to |
|---|---|---|---|
| **F1** | Trend / motivation — treated vs control over time, with policy line | `df.groupby([year, treat])[y].mean().unstack().plot()` (Step 3) | `figures/fig1_trend.png` (300 dpi, **必须导出 PNG**) + `.pdf` |
| **F2** | Event-study coefficients with 95% CI, base period at –1 | `pf.feols(... ~ i(rel_time, ref=-1) ...)` → `pf.iplot()` (Step 5) | `figures/fig2_event_study.png` (300 dpi, **必须导出 PNG**) + `.pdf` |
| **F3** | Coefficient plot across specs M1→M6 | `matplotlib.errorbar` over the 6 fitted models (Step 8) | `figures/fig3_coefplot.png` (300 dpi, **必须导出 PNG**) + `.pdf` |
| **F4** | Robustness / sensitivity curve — spec curve, HonestDiD, or cluster-comparison | spec_curve loop or `honest_did` plot (Step 6) | `figures/fig4_sensitivity.png` (300 dpi, **必须导出 PNG**) + `.pdf` |

### Output file layout (default)

```
project/
├── tables/    table1_balance.xlsx/.docx/.tex  table2_main.xlsx/.docx/.tex
│              table3_mechanism.xlsx/.docx/.tex table4_heterogeneity.xlsx/.docx/.tex
│              table5_robustness.xlsx/.docx/.tex
└── figures/   fig1_trend.png(300dpi)+.pdf      fig2_event_study.png(300dpi)+.pdf
               fig3_coefplot.png(300dpi)+.pdf   fig4_sensitivity.png(300dpi)+.pdf
```

**关键输出规则（必须遵守）：**
- **图片格式**：所有图片必须同时导出 **PNG 格式（≥300 dpi）** 和 PDF 格式（用于 LaTeX 排版）
- **表格格式**：所有回归表格必须同时导出 **Excel（.xlsx）**、**Word（.docx）** 和 **LaTeX（.tex）** 三种格式
- PNG 用于幻灯片、Markdown 文档、邮件等场景；PDF 用于学术论文排版

### When to deviate

- **Single quick estimate** — produce only the relevant cell, but warn that the standard deliverable is the full set above and offer to run it.
- **Design does not support a figure** (cross-section → no event study) — skip with a printed note explaining why; do **not** silently drop.
- **N=1 treated unit (synthetic control)** — replace F1/F2 with the SCM trajectory + placebo distribution; T1–T5 still apply.

---

## Required Libraries

```bash
pip install pandas numpy scipy matplotlib seaborn \
            statsmodels linearmodels pyfixest \
            rdrobust rddensity \
            econml causalml \
            stargazer  # publication-ready regression tables
# Optional but commonly needed:
pip install missingno   # missing-data visualization
pip install pyreadstat  # Stata .dta / SPSS .sav import
pip install arch        # GARCH, unit-root tests, HAC
pip install pingouin    # clean stats tests wrapper
pip install pysynth     # synthetic control (N=1 treated)
```

---

## The 8 Steps — Canonical Pipeline (mapped to AER paper sections)

```
┌──────────────────────────────────────────────────────────────────────┐
│ Step −1 Pre-Analysis Plan (PAP)   statsmodels.stats.power / mde     │
│ Step 0  Sample log + data contract sample_log/asserts/JSON dump      │
│ Step 1  Data cleaning              missing / outliers / dtype / join │
│ Step 2  Variable construction      log / winsorize / std / encode    │
│ Step 2.5 Empirical strategy        equation × ID assumption + pre-reg│
│ Step 3  Descriptive statistics     Table 1 / corr / distribution     │
│ Step 3.5 Identification graphics   event-study/1st-stage/McCrary/love│
│ Step 4  Diagnostic tests           normality / hetero / autocorr / VIF│
│ Step 5  Baseline modeling          OLS / panel / IV / DID / RD / SC  │
│ Step 6  Robustness battery         placebo / subsample / spec curve  │
│ Step 7  Further analysis           mechanism / heterogeneity / mediation│
│ Step 8  Tables & figures           stargazer / coefplot / event study│
└──────────────────────────────────────────────────────────────────────┘
```

The 8 steps mirror the canonical sections of an applied AER / QJE / AEJ paper. Each step is one paper section and emits a paper-ready artifact on disk:

```
Paper section               Step  Python moves
─────────────────────────── ───── ────────────────────────────────────────────────
Pre-Analysis Plan           −1    statsmodels.stats.power + freeze pap.json
§1. Data                     0    sample_log + 5-check data contract → JSON
§1. Data                     1    pandas read_*/dropna/dtype/merge(validate=)
§1. Data                     2    np.log/np.arcsinh/winsorize/groupby.shift/diff
§1.1 Descriptives (Table 1)  3    df.describe() · table1_with_smd · seaborn
§2. Empirical Strategy       2.5  equation × ID assumption table + pre-reg
§3. Identification graphics  3.5  pf.iplot · binscatter · rdplot · mccrary · love
§3.5 Diagnostics             4    statsmodels.diagnostic + scipy.stats
§4. Main Results (Table 2)   5    pf.feols/IV2SLS/CausalForest · pf.etable / Stargazer
§5. Heterogeneity (Table 3)  7    pf.feols(... + i(.):X) · marginaleffects-py
§6. Mechanisms / Channels    7    Baron-Kenny · econml.dml · outcome ladder
§7. Robustness gauntlet      6    placebo · oster · honestdid · spec_curve · 2-way
§8. Replication package      8    Stargazer.render_latex · pf.etable("docx") · result.json
```

Below is the canonical code at each step. **All examples share one running narrative** — a labor-economics panel where `training` (treatment) affects `log_wage` (outcome), with covariates `age`, `edu`, `tenure`, panel keys `worker_id` / `firm_id` / `year`. Column names and parameter values are **illustrative** — substitute the real ones from the user's DataFrame. Only library names and call shapes are normative.

> **When a step has many variants** (e.g. staggered DID has five different estimators; heteroskedasticity has four classic tests), SKILL.md shows the one you reach for first and links to `references/NN-<topic>.md` for the rest. **Read the reference file when the user's case doesn't fit the default.**

---

## Paper-ready figure & table inventory (what to produce by section)

A modern AER paper has **5–7 figures** and **3–5 main tables** + an appendix robustness table. Every step below leaves at least one numbered artifact on disk. Default file names assume parallel `.tex` / `.docx` / `.xlsx` exports (the agent should produce all three so co-authors can edit in Word, the build system can use LaTeX, and editors can edit raw numbers in Excel). **所有图片必须同时保存 PNG（≥300 dpi）和 PDF 两种格式。**

| § | Artifact | Python primitive | Filenames |
|---|---|---|---|
| §1 | **Figure 1**: raw trends / treatment rollout | `df.groupby([time,treat])[y].mean().unstack().plot()` · `seaborn.heatmap` for staggered rollout | `figures/fig1_trend.png`(300dpi)+`.pdf` |
| §1 | **Table 1**: summary stats (full / treated / control + Δ + SMD) | `table1(df, by=, cols=)` (Step 3.b) → write LaTeX/Word/Excel | `tables/table1_balance.xlsx/.docx/.tex` |
| §3 | **Figure 2**: identification graphic (event-study / first-stage / McCrary / RD scatter / SCM trajectory) | `pf.iplot(es)` · `binscatter` · `rdplot` · `rddensity` · `synthdid` | `figures/fig2_event_study.png`(300dpi)+`.pdf` |
| §4 | **Table 2**: main results — progressive controls M1→M6 | `pf.etable([m1...m6])` · `Stargazer([m1.fit ... m6.fit])` | `tables/table2_main.xlsx/.docx/.tex` |
| §4 | **Table 2-bis**: design horse-race (OLS / IV / DID / DML) | `pf.etable([ols, iv, did, dml])` | `tables/table2b_designs.xlsx/.docx/.tex` |
| §4 | **Figure 3**: coefficient plot across specs | `pf.coefplot([m1...m6], coefs=["training"])` | `figures/fig3_coefplot.png`(300dpi)+`.pdf` |
| §5 | **Table 3**: heterogeneity by subgroup | `pf.etable(g_full, g_male, g_fem, g_q1...q4)` | `tables/table3_heterogeneity.xlsx/.docx/.tex` |
| §5 | **Figure 4**: dose-response / CATE | `econml.CausalForestDML(...).effect()` + matplotlib hist | `figures/fig4_cate.png`(300dpi)+`.pdf` |
| §6 | **Table 4**: mechanism / outcome ladder | loop `pf.feols` over outcomes → `pf.etable` | `tables/table4_mechanism.xlsx/.docx/.tex` |
| §7 | **Table A1**: robustness master (one column per check) | `pf.etable([base, no99, balpan, dropearly, wfe, cl2way, logy, ihsy, psm, ebal])` | `tables/tableA1_robustness.xlsx/.docx/.tex` |
| §7 | **Figure 5**: spec curve | hand-rolled `itertools.product` + matplotlib `errorbar` | `figures/fig5_spec_curve.png`(300dpi)+`.pdf` |
| §7 | **Figure 6**: sensitivity (HonestDiD / Oster / E-value) | `HonestDiD` · `oster_bound` · `evalue` | `figures/fig6_sensitivity.png`(300dpi)+`.pdf` |
| §8 | **Replication bundle**: all tables in one document | `pf.etable([...] + extra=[...], type="docx")` · pylatex / `texdoc`-style multi-panel | `replication/paper_tables.xlsx/.docx/.tex` |

> Every Python estimator above (`pf.feols` / `IV2SLS` / `att_gt` via R-callout / `CausalForestDML`) returns a result object that can be passed straight into `pf.etable(...)` / `pf.coefplot(...)` / `Stargazer(...)`. Don't hand-roll LaTeX from `df.to_latex()`, and don't render Word via `python-docx` directly — `pf.etable` / `Stargazer` apply book-tab borders, AER stars, and the right SE label automatically. For deeper export recipes (LaTeX / Word / Markdown variants, multi-panel `.docx`, full `gtsummary`-style flow), see [`references/08-tables-plots.md`](references/08-tables-plots.md).

---

## Export cookbook — LaTeX / Word / Excel in one block

**关键规则（必须遵守）：每个表格必须同时导出三种格式——Excel(.xlsx)、Word(.docx)、LaTeX(.tex)。每个图片必须同时保存PNG(≥300dpi)和PDF两种格式。**

Three tiers, picked by **scope**:

| Tier | Use when | API | Hot kwargs |
|---|---|---|---|
| **1. Single multi-column table** | Exporting *one* Table 2 / Table 3 / Table A1 with progressive columns | `pf.etable([m1,...,mN], type="tex"/"docx"/"xlsx", file="...", headers=[...], digits=3, signif_code=[0.1,0.05,0.01])` — or `Stargazer([m1.fit,...,mN.fit]).render_latex()` for statsmodels-only | `keep=`, `drop=`, `coef_map=`, `headers=`, `digits=`, `signif_code=`, `fixef_rm=`, `notes=` |
| **2. Multi-panel paper format** (Tables 2 + 3 + A1 + A2 in one file) | Producing the *paper-tables block* — main + heterogeneity + robustness + placebo as a single document | Stack via repeat `pf.etable(..., extralines=...)` calls, or use `gtsummary`-style chained tables; for true single-file multi-panel, write to a `.tex` then concat | first panel: write; subsequent: append; surround with LaTeX `\section{}` headers |
| **3. Full session bundle** (the Stata `collect` / R `gt` equivalent) | Replication appendix that mixes summary stats + balance + multiple regression tables + headings + prose in **one** file | Compose programmatically with `pylatex` / `python-docx` / `quarto` — render once. Or use `statsmodels.iolib.summary2.summary_col` for a quick concat of tables. | journal-style template + per-section heading + footnote macros |

**Journal styling — pick the right `signif_code` and SE label.** AEA convention is `[0.1, 0.05, 0.01]` and SE label "Cluster-robust standard errors in parentheses". Define a wrapper once at the to
