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wilcoxon_analysis.py
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#!/usr/bin/env python3
"""
Wilcoxon Statistical Analysis: FPP vs PAL on TAT-QA
Compares FPP and PAL methods using Wilcoxon signed-rank test.
Tests on TAT-QA dataset.
"""
import json
import os
import sys
import glob
from pathlib import Path
from datetime import datetime
from typing import Dict, List, Tuple
import numpy as np
from scipy import stats
# Add project root to path
sys.path.insert(0, str(Path(__file__).parent))
from mint.cli import test_method
def run_method_test(method: str, dataset: str, n_samples: int = 5, run_id: int = 1) -> Dict:
"""
Run a method on dataset and return results.
Args:
method: 'fpp' or 'pal'
dataset: Dataset name (e.g., 'TAT-QA')
n_samples: Number of samples to test
run_id: Run identifier (1-5)
Returns:
Dict with keys: accuracy, correct, total, avg_time
"""
print(f"\n{'='*70}")
print(f"Testing {method.upper()} on {dataset} - Run {run_id}/5 ({n_samples} samples)")
print(f"{'='*70}")
# Run test using mint.cli.test_method
results = test_method(
method=method,
dataset=dataset,
limit=n_samples,
verbose=False, # Disable verbose for multiple runs
output_dir=f'results/wilcoxon/{method}_run{run_id}'
)
# Normalize structure (test_method returns different keys)
normalized = {
'accuracy': results.get('accuracy', 0),
'correct': results.get('correct_predictions', results.get('correct', 0)),
'total': results.get('total_samples', results.get('total', n_samples)),
'avg_time': results.get('avg_time', results.get('average_time', 0))
}
return normalized
def load_existing_results(method: str, run_id: int, dataset: str = 'TAT-QA') -> Dict:
"""
Load results from existing JSON file.
Args:
method: 'fpp' or 'pal'
run_id: Run identifier (1-5)
dataset: Dataset name
Returns:
Dict with normalized structure or None if not found
"""
import glob
pattern = f"results/wilcoxon/{method}_run{run_id}/*.json"
files = glob.glob(pattern)
if files:
with open(files[0], 'r') as f:
data = json.load(f)
return {
'accuracy': data.get('accuracy', 0),
'correct': data.get('correct_predictions', data.get('correct', 0)),
'total': data.get('total_samples', data.get('total', 151)),
'avg_time': data.get('avg_time', data.get('average_time', 0))
}
return None
def run_multiple_tests(method: str, dataset: str, n_samples: int = 5, n_runs: int = 3) -> List[Dict]:
"""
Run a method multiple times on dataset.
Args:
method: 'fpp' or 'pal'
dataset: Dataset name
n_samples: Number of samples per run
n_runs: Number of runs (default: 5)
Returns:
List of results from each run
"""
results_list = []
for run_id in range(1, n_runs + 1):
results = run_method_test(method, dataset, n_samples, run_id)
results_list.append(results)
# Print summary for this run
print(f"\n📊 {method.upper()} Run {run_id} Summary:")
print(f" Accuracy: {results['accuracy']:.2f}%")
print(f" Correct: {results['correct']}/{results['total']}")
print(f" Avg Time: {results['avg_time']:.2f}s")
return results_list
def wilcoxon_analysis(fpp_results_list: List[Dict], pal_results_list: List[Dict]) -> Dict:
"""
Perform Wilcoxon signed-rank test comparing FPP and PAL across multiple runs.
Args:
fpp_results_list: List of results from FPP runs
pal_results_list: List of results from PAL runs
Returns:
Dict with statistical analysis results
"""
print(f"\n{'='*70}")
print("WILCOXON SIGNED-RANK TEST (Multiple Runs)")
print(f"{'='*70}\n")
n_runs = len(fpp_results_list)
# Aggregate accuracies across runs
fpp_accuracies = [r['accuracy'] for r in fpp_results_list]
pal_accuracies = [r['accuracy'] for r in pal_results_list]
# Aggregate times across runs
fpp_times = [r['avg_time'] for r in fpp_results_list]
pal_times = [r['avg_time'] for r in pal_results_list]
# Calculate statistics
fpp_acc_mean = np.mean(fpp_accuracies)
fpp_acc_std = np.std(fpp_accuracies)
pal_acc_mean = np.mean(pal_accuracies)
pal_acc_std = np.std(pal_accuracies)
fpp_time_mean = np.mean(fpp_times)
fpp_time_std = np.std(fpp_times)
pal_time_mean = np.mean(pal_times)
pal_time_std = np.std(pal_times)
# Wilcoxon signed-rank test on accuracies
try:
statistic, p_value = stats.wilcoxon(fpp_accuracies, pal_accuracies, alternative='two-sided')
except Exception as e:
print(f"⚠️ Warning: {e}")
statistic, p_value = None, None
# Display results
print("📊 ACCURACY COMPARISON (across runs)")
print(f" FPP: {fpp_acc_mean:.2f}% ± {fpp_acc_std:.2f}%")
print(f" Individual runs: {[f'{a:.2f}%' for a in fpp_accuracies]}")
print(f" PAL: {pal_acc_mean:.2f}% ± {pal_acc_std:.2f}%")
print(f" Individual runs: {[f'{a:.2f}%' for a in pal_accuracies]}")
print(f" Mean Difference: {fpp_acc_mean - pal_acc_mean:+.2f}%")
print(f"\n⏱️ TIME COMPARISON (across runs)")
print(f" FPP: {fpp_time_mean:.2f}s ± {fpp_time_std:.2f}s")
print(f" Individual runs: {[f'{t:.2f}s' for t in fpp_times]}")
print(f" PAL: {pal_time_mean:.2f}s ± {pal_time_std:.2f}s")
print(f" Individual runs: {[f'{t:.2f}s' for t in pal_times]}")
print(f" Mean Difference: {fpp_time_mean - pal_time_mean:+.2f}s")
if statistic is not None:
print(f"\n📈 WILCOXON TEST RESULTS")
print(f" Number of runs: {n_runs}")
print(f" Test statistic: {statistic:.2f}")
print(f" P-value: {p_value:.4f}")
# Interpret p-value
if p_value < 0.01:
significance = "highly significant (p < 0.01)"
elif p_value < 0.05:
significance = "significant (p < 0.05)"
elif p_value < 0.1:
significance = "marginally significant (p < 0.1)"
else:
significance = "not significant (p >= 0.1)"
print(f" Interpretation: Difference is {significance}")
# Determine which is better
if fpp_acc_mean > pal_acc_mean:
if p_value < 0.05:
conclusion = "✅ FPP significantly outperforms PAL"
else:
conclusion = "⚖️ FPP performs better than PAL (not statistically significant)"
elif pal_acc_mean > fpp_acc_mean:
if p_value < 0.05:
conclusion = "✅ PAL significantly outperforms FPP"
else:
conclusion = "⚖️ PAL performs better than FPP (not statistically significant)"
else:
conclusion = "⚖️ FPP and PAL perform equally"
print(f"\n🎯 CONCLUSION")
print(f" {conclusion}")
else:
significance = None
conclusion = None
# Return analysis results
return {
'test': 'wilcoxon_signed_rank',
'n_runs': n_runs,
'n_samples_per_run': fpp_results_list[0]['total'],
'fpp': {
'accuracy_mean': fpp_acc_mean,
'accuracy_std': fpp_acc_std,
'accuracies': fpp_accuracies,
'time_mean': fpp_time_mean,
'time_std': fpp_time_std,
'times': fpp_times
},
'pal': {
'accuracy_mean': pal_acc_mean,
'accuracy_std': pal_acc_std,
'accuracies': pal_accuracies,
'time_mean': pal_time_mean,
'time_std': pal_time_std,
'times': pal_times
},
'differences': {
'accuracy_diff': fpp_acc_mean - pal_acc_mean,
'time_diff': fpp_time_mean - pal_time_mean
},
'wilcoxon': {
'statistic': float(statistic) if statistic is not None else None,
'p_value': float(p_value) if p_value is not None else None,
'significance': significance
},
'conclusion': conclusion
}
def save_results(fpp_results_list: List[Dict], pal_results_list: List[Dict], analysis: Dict, output_dir: str = 'results/wilcoxon'):
"""Save all results to JSON files."""
os.makedirs(output_dir, exist_ok=True)
timestamp = datetime.now().strftime('%Y%m%d_%H%M%S')
# Save aggregated results
analysis_file = f"{output_dir}/wilcoxon_analysis_{timestamp}.json"
# Save analysis with full context
full_analysis = {
'timestamp': timestamp,
'dataset': 'TAT-QA',
'n_runs': len(fpp_results_list),
'n_samples_per_run': 151,
'methods': ['FPP', 'PAL'],
'analysis': analysis,
'fpp_runs': [
{
'run_id': i+1,
'accuracy': r['accuracy'],
'correct': r['correct'],
'total': r['total'],
'avg_time': r['avg_time']
}
for i, r in enumerate(fpp_results_list)
],
'pal_runs': [
{
'run_id': i+1,
'accuracy': r['accuracy'],
'correct': r['correct'],
'total': r['total'],
'avg_time': r['avg_time']
}
for i, r in enumerate(pal_results_list)
]
}
with open(analysis_file, 'w') as f:
json.dump(full_analysis, f, indent=2)
print(f"\n✅ Wilcoxon analysis saved to {analysis_file}")
return analysis_file
def main():
"""Main function."""
print("\n" + "="*70)
print("WILCOXON STATISTICAL ANALYSIS: FPP vs PAL")
print("Dataset: TAT-QA")
print("Runs: 5 runs per method")
print("Samples: 5 per run (test pipeline)")
print("="*70)
# Configuration
dataset = 'TAT-QA'
n_samples = 300
n_runs = 5
# Check if results already exist to avoid re-running
results_dir = Path('results/wilcoxon')
results_dir.mkdir(parents=True, exist_ok=True)
# Run FPP multiple times
print("\n🔵 Step 1/3: Running FPP (5 runs)...")
fpp_results_list = run_multiple_tests('fpp', dataset, n_samples, n_runs)
# Run PAL multiple times
print("\n🔵 Step 2/3: Running PAL (5 runs)...")
pal_results_list = run_multiple_tests('pal', dataset, n_samples, n_runs)
# Perform Wilcoxon analysis
print("\n🔵 Step 3/3: Performing Wilcoxon analysis...")
analysis = wilcoxon_analysis(fpp_results_list, pal_results_list)
# Save results
analysis_file = save_results(fpp_results_list, pal_results_list, analysis)
print("\n" + "="*70)
print("✅ ANALYSIS COMPLETE")
print(f"Results saved to: {analysis_file}")
print("="*70 + "\n")
if __name__ == '__main__':
main()