"""Replication entry point for F6-conf-01. Run from workspace root: ~/wp29/venv/bin/python out/analysis.py""" import json, os import numpy as np, pandas as pd from scipy import stats 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/DGS10.csv", dtype=str, keep_default_na=False) n_input = len(raw) assert not raw.observation_date.duplicated().any() n_missing = int((raw.DGS10.str.strip() == "").sum()) d = raw[raw.DGS10.str.strip() != ""].copy() d["date"] = pd.to_datetime(d.observation_date) d["y"] = d.DGS10.astype(float) d = d.sort_values("date").reset_index(drop=True) d["dy"] = 100 * d.y.diff() d["gap_days"] = d.date.diff().dt.days d = d.dropna(subset=["dy"]).copy() d["dy"] = d.dy.round(10) d["wd"] = d.date.dt.dayofweek names = ["Monday", "Tuesday", "Wednesday", "Thursday", "Friday"] assert d.wd.isin(range(5)).all() train = d[d.date <= "2009-12-31"]; test = d[d.date >= "2010-01-01"] # (i) one-way ANOVA, all changes groups = [d.dy[d.wd == k].values for k in range(5)] F, p = stats.f_oneway(*groups) # (ii) Monday contrast, Welch two-sample interval mon = d.dy[d.wd == 0].values; oth = d.dy[d.wd != 0].values eff = mon.mean() - oth.mean() v1, v2 = mon.var(ddof=1) / len(mon), oth.var(ddof=1) / len(oth) se = np.sqrt(v1 + v2) df = (v1 + v2) ** 2 / (v1 ** 2 / (len(mon) - 1) + v2 ** 2 / (len(oth) - 1)) tq = stats.t.ppf(0.975, df) lo, hi = eff - tq * se, eff + tq * se # (iii) out-of-sample wd_means = train.groupby("wd").dy.mean() pred = test.wd.map(wd_means).values rmse0 = float(np.sqrt(np.mean(test.dy.values ** 2))) rmse1 = float(np.sqrt(np.mean((test.dy.values - pred) ** 2))) # Diebold-Mariano (squared loss, h=1) as supplementary dl = (test.dy.values - pred) ** 2 - test.dy.values ** 2 dm = dl.mean() / (dl.std(ddof=1) / np.sqrt(len(dl))) dm_p = 2 * stats.norm.sf(abs(dm)) # supplementary: train-only mean (unconditional) forecast rmse_mean = float(np.sqrt(np.mean((test.dy.values - train.dy.mean()) ** 2))) if p < 0.05: concl = "positive_effect" if lo > 0 else ("negative_effect" if hi < 0 else "no_detectable_effect") else: concl = "no_detectable_effect" # table + figure tab = pd.DataFrame({"weekday": names, "n": [len(g) for g in groups], "mean_bp": [g.mean() for g in groups], "se_bp": [g.std(ddof=1) / np.sqrt(len(g)) for g in groups]}) tab.to_csv("out/table1.csv", index=False, float_format="%.6f") fig, ax = plt.subplots(figsize=(6, 4)) ci = [stats.t.ppf(0.975, n - 1) * s for n, s in zip(tab.n, tab.se_bp)] ax.errorbar(range(5), tab.mean_bp, yerr=ci, fmt="o", capsize=5) ax.axhline(0, color="grey", lw=0.8) ax.set_xticks(range(5)); ax.set_xticklabels(names) ax.set_ylabel("Mean one-day change in 10y yield (bp)") ax.set_title(f"DGS10 daily changes by weekday, 2000-2019 (n={len(d)})\n95% CIs; ANOVA F={F:.2f}, p={p:.3f}") fig.tight_layout(); fig.savefig("out/figure1.png", dpi=150) post_hol = int(((d.gap_days > 1) & ~((d.wd == 0) & (d.gap_days == 3))).sum()) res = { "task_id": "F6-conf-01", "n_missing_rows": n_missing, "n_train": int(len(train)), "n_test": int(len(test)), "anova_f_stat": float(F), "anova_p_value": float(p), "effect_estimate": float(eff), "effect_ci_low": float(lo), "effect_ci_high": float(hi), "baseline_metric": rmse0, "model_metric": rmse1, "conclusion": concl, "feasibility": "complete", "feasibility_reason": None, "data_issues": [ {"issue": f"{n_missing} rows with empty DGS10 field (US market holidays / no publication)", "handling": "Dropped before differencing, as prescribed; changes computed between consecutive available observations."}, {"issue": f"{post_hol} changes (excluding ordinary Fri->Mon weekends) span a holiday gap and thus cover more than one business day", "handling": "Kept and attributed to the weekday of t, as prescribed by TASK.md; noted as a limitation (inflates variance, mostly for Tuesdays after Monday holidays)."}, ], "n_input_rows": {"DGS10.csv": n_input}, "n_analysed": int(len(d)), "random_seed": SEED, "supplementary": { "monday_contrast_method": "Welch two-sample t interval (unequal variances)", "welch_se_bp": float(se), "welch_df": float(df), "welch_p_value": float(2 * stats.t.sf(abs(eff / se), df)), "train_weekday_means_bp": {names[k]: float(v) for k, v in wd_means.items()}, "rmse_train_unconditional_mean_bp": rmse_mean, "dm_stat_model_minus_zero_sqloss": float(dm), "dm_p_value": float(dm_p), "levene_p_value": float(stats.levene(*groups).pvalue), "kruskal_p_value": float(stats.kruskal(*groups).pvalue), }, } with open("out/results.json", "w") as f: json.dump(res, f, indent=2) print(json.dumps(res, indent=2)); print(tab)