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"""Reproduce Table 3 (cross-factor predictive validity) from the paper.
Reads only the released CSVs — no DB, no network.
Expected output (paper, n=35):
GitHub stars (log) rho_s = 0.52 p < 0.01
VS Code installs (log) rho_s = 0.44 p < 0.05
Stack Overflow question volume rho_s = 0.49 p < 0.01
Usage:
python reproduce_table3.py [--csv-dir ../data/csv]
"""
import argparse
import csv
import json
import math
import sys
from pathlib import Path
from typing import Dict, List, Tuple
# ───────────────────────────────────────────────────────────────────────────────
# Tiny stats utilities (avoid scipy/pandas dependency for reviewer reproducibility)
# ───────────────────────────────────────────────────────────────────────────────
def _rank(values: List[float]) -> List[float]:
"""Average-rank a sequence, handling ties."""
indexed = sorted(enumerate(values), key=lambda kv: kv[1])
ranks = [0.0] * len(values)
i = 0
while i < len(indexed):
j = i
while j + 1 < len(indexed) and indexed[j + 1][1] == indexed[i][1]:
j += 1
avg = (i + j) / 2.0 + 1.0 # 1-indexed average rank
for k in range(i, j + 1):
ranks[indexed[k][0]] = avg
i = j + 1
return ranks
def spearman(xs: List[float], ys: List[float]) -> float:
rx, ry = _rank(xs), _rank(ys)
n = len(xs)
mx, my = sum(rx) / n, sum(ry) / n
num = sum((rx[i] - mx) * (ry[i] - my) for i in range(n))
dx = math.sqrt(sum((rx[i] - mx) ** 2 for i in range(n)))
dy = math.sqrt(sum((ry[i] - my) ** 2 for i in range(n)))
return num / (dx * dy) if dx and dy else float("nan")
def two_sided_p(rho: float, n: int) -> float:
"""Approximate two-sided p-value via the t-distribution approximation."""
if abs(rho) >= 1.0 or n < 4:
return 0.0 if abs(rho) >= 1.0 else 1.0
t = rho * math.sqrt((n - 2) / (1 - rho * rho))
df = n - 2
# Survival of |t| via Student-t CDF approx (good enough at df ≥ 10)
x = df / (df + t * t)
# Regularized incomplete beta via continued fraction
return _student_t_sf(t, df) * 2
def _student_t_sf(t: float, df: int) -> float:
"""One-sided survival function of Student-t (|t|)."""
t = abs(t)
a = df / 2.0
b = 0.5
x = df / (df + t * t)
return 0.5 * _betai(a, b, x)
def _betai(a: float, b: float, x: float) -> float:
if x <= 0.0:
return 0.0
if x >= 1.0:
return 1.0
bt = math.exp(math.lgamma(a + b) - math.lgamma(a) - math.lgamma(b)
+ a * math.log(x) + b * math.log(1.0 - x))
if x < (a + 1.0) / (a + b + 2.0):
return bt * _betacf(a, b, x) / a
return 1.0 - bt * _betacf(b, a, 1.0 - x) / b
def _betacf(a: float, b: float, x: float, max_iter: int = 200, eps: float = 1e-12) -> float:
qab, qap, qam = a + b, a + 1.0, a - 1.0
c, d = 1.0, 1.0 - qab * x / qap
if abs(d) < 1e-30: d = 1e-30
d, h = 1.0 / d, 1.0 / d
for m in range(1, max_iter + 1):
m2 = 2 * m
aa = m * (b - m) * x / ((qam + m2) * (a + m2))
d = 1.0 + aa * d
if abs(d) < 1e-30: d = 1e-30
c = 1.0 + aa / c
if abs(c) < 1e-30: c = 1e-30
d = 1.0 / d
h *= d * c
aa = -(a + m) * (qab + m) * x / ((a + m2) * (qap + m2))
d = 1.0 + aa * d
if abs(d) < 1e-30: d = 1e-30
c = 1.0 + aa / c
if abs(c) < 1e-30: c = 1e-30
d = 1.0 / d
delta = d * c
h *= delta
if abs(delta - 1.0) < eps:
return h
return h
# ───────────────────────────────────────────────────────────────────────────────
# Load inputs
# ───────────────────────────────────────────────────────────────────────────────
def load_latest_scores(csv_dir: Path) -> Dict[str, dict]:
"""Latest agent_scores row per agent_name."""
rows: Dict[str, dict] = {}
with (csv_dir / "agent_scores.csv").open() as f:
for r in csv.DictReader(f):
ts = r["computed_at"]
cur = rows.get(r["agent_name"])
if cur is None or ts > cur["computed_at"]:
rows[r["agent_name"]] = r
return rows
def load_latest_signals(csv_dir: Path) -> Dict[str, dict]:
"""Latest signals_json row per agent_name (parsed)."""
rows: Dict[str, dict] = {}
with (csv_dir / "agent_signals_raw.csv").open() as f:
for r in csv.DictReader(f):
ts = r["collected_at"]
cur = rows.get(r["agent_name"])
if cur is None or ts > cur["collected_at"]:
rows[r["agent_name"]] = r
out: Dict[str, dict] = {}
for name, row in rows.items():
try:
out[name] = json.loads(row["signals_json"])
except Exception:
out[name] = {}
return out
def load_registry(csv_dir: Path) -> Dict[str, dict]:
out: Dict[str, dict] = {}
with (csv_dir / "agent_registry.csv").open() as f:
for r in csv.DictReader(f):
out[r["name"]] = r
return out
# ───────────────────────────────────────────────────────────────────────────────
# Sub-composite construction (paper Section 5.2)
# ───────────────────────────────────────────────────────────────────────────────
def benchmark_sentiment_subcomposite(score_row: dict, signals: dict) -> float:
"""Benchmark + Sentiment only, normalized to weights summing to 1.
Default paper weights: w_B=0.35, w_S=0.20. Renormalized: 0.6364 B + 0.3636 S.
Excludes Adoption and Ecosystem to break GitHub-signal circularity.
"""
sub = json.loads(score_row.get("sub_scores") or "[0.5, 0, 0]")
b = sub[0] if sub else 0.5
sent_raw = float(score_row.get("sentiment") or 0.0)
# Paper S(a) is in [0,1]; raw sentiment is in [-1,1]. Linear remap:
s_norm = max(0.0, min(1.0, (sent_raw + 1.0) / 2.0))
return 0.6364 * b + 0.3636 * s_norm
# ───────────────────────────────────────────────────────────────────────────────
# Main
# ───────────────────────────────────────────────────────────────────────────────
def main():
parser = argparse.ArgumentParser(description=__doc__)
parser.add_argument("--csv-dir", default="../data/csv",
help="Directory containing the released CSVs")
args = parser.parse_args()
csv_dir = Path(args.csv_dir).resolve()
if not csv_dir.exists():
print(f"error: csv-dir {csv_dir} does not exist", file=sys.stderr)
return 1
scores = load_latest_scores(csv_dir)
signals = load_latest_signals(csv_dir)
registry = load_registry(csv_dir)
# The paper's n=35 subset: agents with a public GitHub repo.
public_repo_agents = [
name for name, cfg in registry.items()
if cfg.get("github_repo")
]
print(f"Agents with public GitHub repos in registry: {len(public_repo_agents)}")
# Restrict to those with both a score row and a signals row
eligible = [a for a in public_repo_agents if a in scores and a in signals]
print(f"Of those, with scoring and signal data: {len(eligible)}\n")
bs = []
stars_log = []
installs_log = []
so_q = []
for name in eligible:
s = signals[name]
bs.append(benchmark_sentiment_subcomposite(scores[name], s))
stars_log.append(math.log10((s.get("github_stars") or 0) + 1))
installs_log.append(math.log10((s.get("vscode_installs") or 0) + 1))
so_q.append(s.get("so_questions") or 0)
n = len(bs)
print(f"{'External signal':<32} {'rho_s':>8} {'p (two-sided)':>15}")
print("-" * 60)
for label, ys in [("GitHub stars (log)", stars_log),
("VS Code installs (log)", installs_log),
("Stack Overflow question volume", so_q)]:
rho = spearman(bs, ys)
p = two_sided_p(rho, n)
print(f"{label:<32} {rho:>8.3f} {p:>15.4g}")
print(f"\nn = {n}")
print("\nPaper-reported values (Table 3, n=35):")
print(" GitHub stars (log) rho_s = 0.52 p < 0.01")
print(" VS Code installs (log) rho_s = 0.44 p < 0.05 (illustrative; 11/35 non-zero)")
print(" Stack Overflow question volume rho_s = 0.49 p < 0.01")
return 0
if __name__ == "__main__":
sys.exit(main())