"""Sensitivity check: do the headline findings survive excluding confidence-imputed trials? A response with a parseable answer but no stated CONF receives an imputed neutral confidence of 50 and is flagged conf_stated=0 in the trials file. This script recomputes, on the subset of trials WITH stated confidence only: (a) the accuracy-gated calibration-error separation, and (b) the confidence-inversion contrast (accuracy at maximal stated confidence versus below) for the three poorly calibrated models. Offline; standard library only. python3 sensitivity.py """ import json, math, random, pathlib from collections import defaultdict HERE = pathlib.Path(__file__).resolve().parent trials = json.load(open(HERE / ".." / "data" / "tcb_v03_trials.json")) LABEL_FIXES = {"g7": "Yes"} for r in trials: if r["id"] in LABEL_FIXES: r["truth"] = LABEL_FIXES[r["id"]] if r.get("answer") is not None: r["correct"] = int(r["answer"] == r["truth"]) def ece(rows, nb=5): bins = defaultdict(list) for r in rows: p = r["conf"] / 100; b = min(nb - 1, int(p * nb)); bins[b].append(r) n = len(rows); e = 0.0 for rs in bins.values(): conf = sum(x["conf"] / 100 for x in rs) / len(rs) acc = sum(x["correct"] for x in rs) / len(rs) e += len(rs) / n * abs(conf - acc) return e def boot_ci(rows, fn, B=2000, seed=0): rng = random.Random(seed); vals = [] for _ in range(B): s = [rows[rng.randrange(len(rows))] for _ in rows] try: vals.append(fn(s)) except Exception: pass vals.sort(); return (vals[int(.025 * len(vals))], vals[int(.975 * len(vals))]) by = defaultdict(list) n_imputed = 0 for r in trials: if r.get("adherent"): if not r.get("conf_stated", 1): n_imputed += 1 continue by[r["model"]].append(r) print(f"excluded {n_imputed} confidence-imputed trials; re-analysis on stated-confidence rows only\n") # Per-model ECE with vs without imputed-confidence rows (stability check). import collections full = collections.defaultdict(list) for r in trials: if r.get("adherent"): full[r["model"]].append(r) print(f"{'model':22s} {'n_imp':>5s} ece(all) ece(stated-only) delta") for m, rs in full.items(): stated = by[m] if not stated: continue e_all, e_st = ece(rs), ece(stated) print(f"{m:22s} {len(rs)-len(stated):5d} {e_all:.4f} {e_st:.4f} {e_st-e_all:+.4f}")