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b5c2bb1 | 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 | # src/scipeerai/modules/pcurve_analyzer.py
#
# P-Curve Analyzer
# Detects publication bias by analyzing p-value distribution.
# Real effects: p-values uniformly distributed 0.00-0.05
# P-hacking: p-values cluster just below 0.05
#
# Based on Simonsohn, Nelson & Simmons (2014)
# Published in Journal of Experimental Psychology
import re
import math
from dataclasses import dataclass, field
@dataclass
class PCurveFlag:
flag_type: str
severity: str
description: str
evidence: str
suggestion: str
@dataclass
class PCurveResult:
p_values_found: list
significant_p: list
right_skew_ratio: float
clustering_score: float
pcurve_score: float
risk_level: str
summary: str
flags: list = field(default_factory=list)
flags_count: int = 0
class PCurveAnalyzer:
"""
P-Curve Analyzer.
Analyzes distribution of p-values to detect
publication bias and p-hacking patterns.
Key insight:
- Real effects β p-values RIGHT skewed (more near 0.01)
- P-hacking β p-values cluster near 0.05
- No effect β p-values uniformly distributed
"""
P_PATTERN = re.compile(
r'p\s*[=<>β€]\s*(0?\.\d+)',
re.IGNORECASE
)
def analyze(self, text: str) -> PCurveResult:
all_p = self._extract_p_values(text)
sig_p = [p for p in all_p if p <= 0.05]
flags = []
if len(sig_p) < 3:
return PCurveResult(
p_values_found = all_p,
significant_p = sig_p,
right_skew_ratio = 0.0,
clustering_score = 0.0,
pcurve_score = 0.0,
risk_level = "low",
summary = (
f"P-Curve Analysis: {len(sig_p)} significant p-value(s) "
f"found. Minimum 3 required for curve analysis."
),
flags = [],
flags_count= 0,
)
right_skew = self._right_skew_ratio(sig_p)
clustering = self._clustering_score(sig_p)
score = self._aggregate_score(right_skew, clustering, sig_p)
level = self._risk(score, clustering, right_skew)
# ββ Flag 1: P-value clustering near 0.05 βββββββββββββββββ
if clustering > 0.5:
near_05 = sum(1 for p in sig_p if p >= 0.04)
flags.append(PCurveFlag(
flag_type = "p_value_clustering",
severity = "high" if clustering > 0.7 else "medium",
description = (
f"{near_05}/{len(sig_p)} significant p-values "
f"({round(near_05/len(sig_p)*100)}%) fall between "
f"0.040-0.050. This clustering pattern is the "
f"hallmark of p-hacking β results were likely "
f"manipulated to just reach significance."
),
evidence = (
f"Significant p-values: {[round(p,4) for p in sig_p]} | "
f"Near-0.05 ratio: {round(clustering*100)}%"
),
suggestion = (
"Pre-register hypotheses before data collection. "
"Report all tests conducted including non-significant. "
"Use sequential testing or Bayesian methods."
),
))
# ββ Flag 2: Lack of right skew (no real effect) βββββββββββ
if right_skew < 0.3 and len(sig_p) >= 4:
flags.append(PCurveFlag(
flag_type = "flat_pcurve",
severity = "medium",
description = (
f"P-curve lacks right skew β only {round(right_skew*100)}% "
f"of p-values fall below 0.025. A genuine effect "
f"produces a right-skewed p-curve. Flat curve suggests "
f"the findings may lack evidentiary value."
),
evidence = (
f"Right-skew ratio: {round(right_skew*100)}% "
f"(expected >50% for real effects) | "
f"P-values: {[round(p,4) for p in sig_p]}"
),
suggestion = (
"Conduct a power analysis. If the effect is real, "
"p-values should skew toward 0. Consider increasing "
"sample size for a more definitive test."
),
))
# ββ Flag 3: Too many exactly 0.05 values ββββββββββββββββββ
exact_05 = sum(1 for p in all_p if abs(p - 0.05) < 0.001)
if exact_05 >= 2:
flags.append(PCurveFlag(
flag_type = "exact_threshold_reporting",
severity = "medium",
description = (
f"{exact_05} p-values reported as exactly p=0.05. "
f"This is statistically rare in real data and "
f"suggests threshold-seeking behavior or rounding."
),
evidence = (
f"{exact_05} values equal to exactly 0.050 found"
),
suggestion = (
"Report exact p-values to 3+ decimal places. "
"Avoid rounding to threshold values."
),
))
summary = self._build_summary(
all_p, sig_p, score, level,
right_skew, clustering
)
return PCurveResult(
p_values_found = all_p,
significant_p = sig_p,
right_skew_ratio = round(right_skew, 4),
clustering_score = round(clustering, 4),
pcurve_score = round(score, 4),
risk_level = level,
summary = summary,
flags = flags,
flags_count = len(flags),
)
# ββ internal helpers βββββββββββββββββββββββββββββββββββββββββ
def _extract_p_values(self, text: str) -> list:
values = []
for m in self.P_PATTERN.finditer(text):
try:
v = float(m.group(1))
if 0 < v <= 1:
values.append(round(v, 4))
except ValueError:
pass
return values
def _right_skew_ratio(self, sig_p: list) -> float:
"""
Ratio of p-values below 0.025 vs 0.025-0.05.
Real effects: >50% below 0.025 (right skewed).
"""
if not sig_p:
return 0.0
below_half = sum(1 for p in sig_p if p <= 0.025)
return below_half / len(sig_p)
def _clustering_score(self, sig_p: list) -> float:
"""
Ratio of p-values in 0.04-0.05 range.
High clustering = p-hacking signature.
"""
if not sig_p:
return 0.0
near_05 = sum(1 for p in sig_p if p >= 0.04)
return near_05 / len(sig_p)
def _aggregate_score(self, right_skew: float,
clustering: float,
sig_p: list) -> float:
"""Combine signals into 0-1 risk score."""
cluster_risk = clustering
no_skew_risk = 1.0 - right_skew
score = (cluster_risk * 0.6 + no_skew_risk * 0.4)
return min(round(score, 4), 1.0)
def _risk(self, score: float,
clustering: float,
right_skew: float) -> str:
if clustering > 0.7 or score >= 0.7:
return "critical"
if clustering > 0.5 or score >= 0.5:
return "high"
if clustering > 0.3 or score >= 0.3:
return "medium"
return "low"
def _build_summary(self, all_p, sig_p, score,
level, right_skew, clustering) -> str:
pct = round(score * 100)
return (
f"P-Curve analyzed {len(all_p)} p-value(s), "
f"{len(sig_p)} significant (pβ€0.05). "
f"Clustering score: {round(clustering*100)}% near p=0.05. "
f"Right-skew ratio: {round(right_skew*100)}%. "
f"Overall bias score: {pct}%. "
f"Risk level: {level.upper()}."
) |