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c94f46f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 | # Statistical Audit Module
# ------------------------
# This is where we catch the kind of statistical
# manipulation that slips past human reviewers.
#
# Three main things we look for:
# 1. p-values clustered suspiciously near 0.05
# 2. Sample sizes too small to trust the results
# 3. Numbers that look "too clean" to be real data
import re
from dataclasses import dataclass, field
# ββ data structures ββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class StatFlag:
# one issue we found
flag_type: str
severity: str # "high", "medium", "low"
description: str
evidence: str # the actual text/number that triggered this
suggestion: str
@dataclass
class StatAuditResult:
p_values_found: list
sample_sizes_found: list
flags: list
risk_score: float # 0.0 to 1.0
risk_level: str # "low" / "medium" / "high" / "critical"
summary: str
# ββ main class βββββββββββββββββββββββββββββββββββββββββββββββ
class StatAuditEngine:
"""
Scans paper text for statistical red flags.
I wrote this as a class because later we'll want to
configure thresholds differently for different fields β
medicine needs stricter p-value cutoffs than psychology,
for instance.
"""
# p-values this close to 0.05 are suspicious
# real results don't magically cluster right at the cutoff
P_HACK_ZONE = (0.04, 0.051)
# below this sample size, most findings are unreliable
MIN_SAMPLE_SIZE = 30
def __init__(self):
# regex for p-values β catches things like:
# p=0.04, p < 0.001, p-value = 0.032, (p=.049)
self._p_pattern = re.compile(
r'p\s*[=<>β€β₯]\s*\.?(\d+\.?\d*)',
re.IGNORECASE
)
# regex for sample sizes β catches n=50, N = 120, n=32 etc
self._n_pattern = re.compile(
r'\bn\s*=\s*(\d+)',
re.IGNORECASE
)
# t-statistics, F-statistics, chi-square values
self._tstat_pattern = re.compile(
r't\s*[=\(]\s*(\d+\.?\d*)',
re.IGNORECASE
)
# ββ public method βββββββββββββββββββββββββββββββββββββββββ
def analyze(self, text: str) -> StatAuditResult:
"""
Main entry point. Give it the paper text, get back
a full audit report.
"""
p_values = self._extract_p_values(text)
sample_sizes = self._extract_sample_sizes(text)
flags = []
flags.extend(self._check_p_hacking(p_values))
flags.extend(self._check_sample_sizes(sample_sizes))
flags.extend(self._check_round_numbers(p_values))
flags.extend(self._check_p_value_absence(text, sample_sizes))
risk_score = self._calculate_risk(flags)
risk_level = self._get_risk_level(risk_score)
return StatAuditResult(
p_values_found=p_values,
sample_sizes_found=sample_sizes,
flags=flags,
risk_score=round(risk_score, 3),
risk_level=risk_level,
summary=self._write_summary(flags, risk_level),
)
# ββ extraction helpers ββββββββββββββββββββββββββββββββββββ
def _extract_p_values(self, text: str) -> list:
matches = self._p_pattern.findall(text)
values = []
for m in matches:
try:
val = float(m)
if 0.0 < val <= 1.0: # must be a valid probability
values.append(val)
except ValueError:
pass
return values
def _extract_sample_sizes(self, text: str) -> list:
matches = self._n_pattern.findall(text)
sizes = []
for m in matches:
try:
sizes.append(int(m))
except ValueError:
pass
return sizes
# ββ flag checks βββββββββββββββββββββββββββββββββββββββββββ
def _check_p_hacking(self, p_values: list) -> list:
"""
Look for p-values suspiciously clustered just below 0.05.
If more than 40% of reported p-values live in this tiny window,
something probably went wrong in the analysis.
"""
flags = []
if not p_values:
return flags
low, high = self.P_HACK_ZONE
borderline = [p for p in p_values if low <= p <= high]
ratio = len(borderline) / len(p_values)
if ratio >= 0.6 and len(borderline) >= 3:
flags.append(StatFlag(
flag_type="p_hacking_suspected",
severity="high",
description=(
f"{len(borderline)} out of {len(p_values)} reported "
f"p-values fall between {low} and {high}. "
f"That's {round(ratio*100)}% clustered right at "
f"the significance threshold."
),
evidence=str(borderline),
suggestion=(
"Check whether all conducted analyses are reported. "
"Selective reporting inflates this pattern."
),
))
elif ratio >= 0.4 and len(borderline) >= 2:
flags.append(StatFlag(
flag_type="borderline_p_values",
severity="medium",
description=(
f"{len(borderline)} p-values near the 0.05 cutoff. "
f"Worth a closer look at the analysis pipeline."
),
evidence=str(borderline),
suggestion="Request full analysis scripts and pre-registration info.",
))
return flags
def _check_sample_sizes(self, sample_sizes: list) -> list:
"""
Tiny sample sizes mean the results probably won't replicate.
Below n=30 is a concern in most quantitative fields.
"""
flags = []
small = [n for n in sample_sizes if 0 < n < self.MIN_SAMPLE_SIZE]
if small:
flags.append(StatFlag(
flag_type="small_sample_size",
severity="high" if min(small) < 15 else "medium",
description=(
f"Sample size(s) below recommended minimum: {small}. "
f"Studies with n < {self.MIN_SAMPLE_SIZE} are typically "
f"underpowered for reliable inference."
),
evidence=str(small),
suggestion=(
"A post-hoc power analysis would clarify whether "
"the study had sufficient power to detect the claimed effects."
),
))
return flags
def _check_round_numbers(self, p_values: list) -> list:
"""
Real data rarely produces perfectly round p-values.
p = 0.05 exactly is almost impossible to get naturally.
p = 0.049 right at the boundary is also suspicious.
"""
flags = []
suspicious = []
for p in p_values:
# exact boundary value
if p == 0.05:
suspicious.append(p)
# suspiciously precise cutoff-hugging
elif p in (0.049, 0.001, 0.01):
suspicious.append(p)
if suspicious:
flags.append(StatFlag(
flag_type="suspiciously_round_p_values",
severity="medium",
description=(
f"Found p-values that are unusually precise "
f"or exactly at significance boundaries: {suspicious}"
),
evidence=str(suspicious),
suggestion=(
"Request raw data to verify these values. "
"Exact boundary values sometimes indicate rounding "
"or post-hoc adjustment."
),
))
return flags
def _check_p_value_absence(self, text: str, sample_sizes: list) -> list:
"""
If a paper reports results with sample sizes but no p-values,
it's avoiding statistical scrutiny β also a red flag.
"""
flags = []
has_stats_claim = any(
phrase in text.lower()
for phrase in ["significant", "effect", "difference", "result"]
)
p_mentions = len(self._p_pattern.findall(text))
if sample_sizes and has_stats_claim and p_mentions == 0:
flags.append(StatFlag(
flag_type="missing_statistical_tests",
severity="high",
description=(
"Paper makes statistical claims but reports no p-values "
"or test statistics. Results cannot be independently evaluated."
),
evidence="No p-values found despite significance claims",
suggestion="Request full statistical output tables from authors.",
))
return flags
# ββ scoring βββββββββββββββββββββββββββββββββββββββββββββββ
def _calculate_risk(self, flags: list) -> float:
"""
Weighted scoring β high severity flags count more.
Capped at 1.0 so the score stays interpretable.
"""
weights = {"high": 0.35, "medium": 0.20, "low": 0.08}
score = sum(weights.get(f.severity, 0) for f in flags)
return min(score, 1.0)
def _get_risk_level(self, score: float) -> str:
if score >= 0.7:
return "critical"
elif score >= 0.4:
return "high"
elif score >= 0.2:
return "medium"
return "low"
def _write_summary(self, flags: list, risk_level: str) -> str:
if not flags:
return (
"No statistical anomalies detected. "
"Standard metrics appear within normal ranges."
)
high = sum(1 for f in flags if f.severity == "high")
med = sum(1 for f in flags if f.severity == "medium")
parts = []
if high:
parts.append(f"{high} high-severity issue{'s' if high > 1 else ''}")
if med:
parts.append(f"{med} medium-severity concern{'s' if med > 1 else ''}")
return (
f"Statistical audit flagged {', '.join(parts)}. "
f"Overall risk level: {risk_level.upper()}."
) |