"""Replication entry point for F6-conf-04. Run from workspace root: ~/wp29/venv/bin/python out/analysis.py""" import json, os import numpy as np, pandas as pd import statsmodels.formula.api as smf import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt SEED = None # no randomness used os.makedirs("out", exist_ok=True) raw = pd.read_csv("data/firms.csv") n_raw = len(raw) # ---- audit ---- issues = [] assert raw.isna().sum().sum() == 0 assert raw.firm_id.duplicated().sum() == 0 and raw.duplicated().sum() == 0 neg = raw.training_hours < 0 issues.append({ "issue": f"{int(neg.sum())} rows have negative training_hours (min {raw.training_hours.min():.3f}), which is physically impossible (hours per employee >= 0).", "handling": "Excluded from the main estimates; sensitivity analysis re-estimates both models on all rows (results essentially unchanged)."}) d = raw.loc[~neg].copy() def fit(formula, data): return smf.ols(formula, data).fit(cov_type="HC1") naive = fit("productivity_growth ~ training_hours", d) adj = fit("productivity_growth ~ training_hours + skill_index", d) naive_all = fit("productivity_growth ~ training_hours", raw) adj_all = fit("productivity_growth ~ training_hours + skill_index", raw) flex = fit("productivity_growth ~ training_hours + skill_index + I(skill_index**2) + I(training_hours**2) + training_hours:skill_index", d) rmse = lambda m: float(np.sqrt(np.mean(m.resid ** 2))) def row(name, m): ci = m.conf_int().loc["training_hours"] return dict(model=name, estimate=m.params["training_hours"], se=m.bse["training_hours"], ci_low=ci[0], ci_high=ci[1]) table = pd.DataFrame([ row("unadjusted (main sample)", naive), row("adjusted for skill_index (main sample)", adj), row("unadjusted (all rows, sensitivity)", naive_all), row("adjusted for skill_index (all rows, sensitivity)", adj_all)]) table.to_csv("out/table1.csv", index=False) nci = naive.conf_int().loc["training_hours"]; aci = adj.conf_int().loc["training_hours"] lo, hi = float(aci[0]), float(aci[1]) concl = "positive_effect" if lo > 0 else ("negative_effect" if hi < 0 else "no_detectable_effect") res = { "task_id": "F6-conf-04", "naive_estimate": float(naive.params["training_hours"]), "naive_ci_low": float(nci[0]), "naive_ci_high": float(nci[1]), "baseline_metric": rmse(naive), "model_metric": rmse(adj), "effect_estimate": float(adj.params["training_hours"]), "effect_se": float(adj.bse["training_hours"]), "effect_ci_low": lo, "effect_ci_high": hi, "skill_index_coefficient": float(adj.params["skill_index"]), "conclusion": concl, "feasibility": "complete", "feasibility_reason": None, "data_issues": issues, "n_input_rows": {"firms.csv": int(n_raw)}, "n_analysed": int(adj.nobs), "random_seed": SEED, "se_type": "HC1 heteroskedasticity-robust", "corr_skill_training": float(d[["skill_index", "training_hours"]].corr().iloc[0, 1]), "sensitivity_all_rows_effect_estimate": float(adj_all.params["training_hours"]), "sensitivity_all_rows_naive_estimate": float(naive_all.params["training_hours"]), "diag_flexible_training_coef": float(flex.params["training_hours"]), "diag_flexible_min_pvalue_nonlinear_terms": float(min(flex.pvalues[["I(skill_index ** 2)", "I(training_hours ** 2)", "training_hours:skill_index"]])), } with open("out/results.json", "w") as f: json.dump(res, f, indent=2) # ---- figure ---- fig, ax = plt.subplots(figsize=(7, 5)) ax.scatter(d.training_hours, d.productivity_growth, s=8, alpha=0.4, color="grey", label="firms") x = np.linspace(d.training_hours.min(), d.training_hours.max(), 100) ax.plot(x, naive.params["Intercept"] + naive.params["training_hours"] * x, "b-", label=f"unadjusted OLS (slope {res['naive_estimate']:.3f})") ax.plot(x, adj.params["Intercept"] + adj.params["training_hours"] * x + adj.params["skill_index"] * d.skill_index.mean(), "r-", label=f"adjusted for skill_index at its mean (slope {res['effect_estimate']:.3f})") ax.set_xlabel("training hours per employee"); ax.set_ylabel("productivity growth next year (%)") ax.set_title("Productivity growth vs training hours (simulated data)"); ax.legend() fig.tight_layout(); fig.savefig("out/figure1.png", dpi=120) print(json.dumps(res, indent=2)); print(table)