#!/usr/bin/env python3 """Analyze format-validity diagnostics from scored per-item files. Expected layout: results/ model_a/ mcqa_4way.json mcqa_4way.per_item.jsonl mcqa_10way.json mcqa_10way.per_item.jsonl open_short_answer.json open_short_answer.per_item.jsonl """ from __future__ import annotations import argparse import itertools import json import math import random from pathlib import Path from typing import Any FORMAT_FILES = { "mcqa4": "mcqa_4way", "mcqa10": "mcqa_10way", "open": "open_short_answer", } def read_json(path: Path) -> dict[str, Any]: return json.loads(path.read_text(encoding="utf-8")) def read_jsonl(path: Path) -> list[dict[str, Any]]: rows = [] with path.open("r", encoding="utf-8") as f: for line in f: if line.strip(): rows.append(json.loads(line)) return rows def rank(values: dict[str, float]) -> dict[str, float]: sorted_items = sorted(values.items(), key=lambda x: x[1]) ranks: dict[str, float] = {} idx = 0 while idx < len(sorted_items): j = idx while j + 1 < len(sorted_items) and sorted_items[j + 1][1] == sorted_items[idx][1]: j += 1 avg_rank = (idx + j) / 2 + 1 for k in range(idx, j + 1): ranks[sorted_items[k][0]] = avg_rank idx = j + 1 return ranks def pearson(xs: list[float], ys: list[float]) -> float: if len(xs) < 2: return math.nan mx = sum(xs) / len(xs) my = sum(ys) / len(ys) cov = sum((x - mx) * (y - my) for x, y in zip(xs, ys)) vx = sum((x - mx) ** 2 for x in xs) vy = sum((y - my) ** 2 for y in ys) if vx == 0 or vy == 0: return math.nan return cov / math.sqrt(vx * vy) def spearman(a: dict[str, float], b: dict[str, float]) -> float: common = sorted(set(a) & set(b)) if len(common) < 2: return math.nan ra = rank({k: a[k] for k in common}) rb = rank({k: b[k] for k in common}) return pearson([ra[k] for k in common], [rb[k] for k in common]) def load_results(root: Path) -> tuple[dict[str, dict[str, Any]], dict[str, dict[str, list[dict[str, Any]]]]]: summaries: dict[str, dict[str, Any]] = {} per_items: dict[str, dict[str, list[dict[str, Any]]]] = {} for model_dir in sorted(p for p in root.iterdir() if p.is_dir()): model = model_dir.name summaries[model] = {} per_items[model] = {} for fmt, stem in FORMAT_FILES.items(): summary_path = model_dir / f"{stem}.json" per_item_path = model_dir / f"{stem}.per_item.jsonl" if summary_path.exists() and per_item_path.exists(): summaries[model][fmt] = read_json(summary_path) per_items[model][fmt] = read_jsonl(per_item_path) return summaries, per_items def paired_bootstrap_diff_ci( rows_a: list[dict[str, Any]], rows_b: list[dict[str, Any]], seed: int = 42, n_boot: int = 2000, ) -> tuple[float, float]: by_a = {row["id"]: row["correct"] for row in rows_a} by_b = {row["id"]: row["correct"] for row in rows_b} ids = sorted(set(by_a) & set(by_b)) if not ids: return (math.nan, math.nan) rng = random.Random(seed) diffs = [] n = len(ids) for _ in range(n_boot): sample = [ids[rng.randrange(n)] for _ in range(n)] diff = sum(by_a[i] - by_b[i] for i in sample) / n diffs.append(diff) diffs.sort() return diffs[int(0.025 * n_boot)], diffs[int(0.975 * n_boot)] def pairwise_distinguishable_ratio(per_items: dict[str, dict[str, list[dict[str, Any]]]], fmt: str) -> dict[str, Any]: models = sorted(model for model, fmts in per_items.items() if fmt in fmts) pairs = list(itertools.combinations(models, 2)) distinguishable = 0 details = [] for a, b in pairs: low, high = paired_bootstrap_diff_ci(per_items[a][fmt], per_items[b][fmt]) is_distinct = int(not (low <= 0 <= high)) distinguishable += is_distinct details.append({"model_a": a, "model_b": b, "diff_ci95": [low, high], "distinguishable": is_distinct}) return { "format": fmt, "num_pairs": len(pairs), "distinguishable_pairs": distinguishable, "pairwise_distinguishable_ratio": distinguishable / len(pairs) if pairs else math.nan, "pairs": details, } def all_wrong_rate(per_items: dict[str, dict[str, list[dict[str, Any]]]], fmt: str) -> float: item_to_scores: dict[str, list[int]] = {} for fmts in per_items.values(): for row in fmts.get(fmt, []): item_to_scores.setdefault(row["id"], []).append(row["correct"]) if not item_to_scores: return math.nan return sum(1 for vals in item_to_scores.values() if vals and sum(vals) == 0) / len(item_to_scores) def score_table(summaries: dict[str, dict[str, Any]]) -> list[dict[str, Any]]: rows = [] for model, fmts in sorted(summaries.items()): row: dict[str, Any] = {"model": model} for fmt in ["mcqa4", "mcqa10", "open"]: if fmt not in fmts: continue row[f"{fmt}_accuracy"] = fmts[fmt].get("accuracy") row[f"{fmt}_ci95"] = fmts[fmt].get("ci95") if "chance_normalized_accuracy" in fmts[fmt]: row[f"{fmt}_chance_normalized_accuracy"] = fmts[fmt]["chance_normalized_accuracy"] if "not_attempted_rate" in fmts[fmt]: row[f"{fmt}_not_attempted_rate"] = fmts[fmt]["not_attempted_rate"] rows.append(row) return rows def main() -> None: parser = argparse.ArgumentParser() parser.add_argument("--result-root", type=Path, required=True) parser.add_argument("--output", type=Path, required=True) args = parser.parse_args() summaries, per_items = load_results(args.result_root) table = score_table(summaries) scores_by_format = { fmt: { row["model"]: row[f"{fmt}_accuracy"] for row in table if f"{fmt}_accuracy" in row } for fmt in ["mcqa4", "mcqa10", "open"] } rank_correlations = { "mcqa4_vs_mcqa10": spearman(scores_by_format["mcqa4"], scores_by_format["mcqa10"]), "mcqa4_vs_open": spearman(scores_by_format["mcqa4"], scores_by_format["open"]), "mcqa10_vs_open": spearman(scores_by_format["mcqa10"], scores_by_format["open"]), } distinguishability = { fmt: pairwise_distinguishable_ratio(per_items, fmt) for fmt in ["mcqa4", "mcqa10", "open"] } floor_indicators = { fmt: { "all_wrong_item_rate": all_wrong_rate(per_items, fmt), "pairwise_distinguishable_ratio": distinguishability[fmt]["pairwise_distinguishable_ratio"], } for fmt in ["mcqa4", "mcqa10", "open"] } result = { "score_table": table, "rank_correlations": rank_correlations, "distinguishability": distinguishability, "floor_indicators": floor_indicators, } args.output.parent.mkdir(parents=True, exist_ok=True) args.output.write_text(json.dumps(result, ensure_ascii=False, indent=2) + "\n", encoding="utf-8") print(json.dumps(result, ensure_ascii=False, indent=2)) if __name__ == "__main__": main()