# Correlation Analysis Report

This report summarizes the Pearson correlation between per‑link flip counts
and local Wilson‑loop variances for each gauge group and loop size.

## Summary Table

| Gauge Group | Loop Size | r | 95% CI | p‑value |
|:-----------:|:---------:|:-----:|:------------------:|:-------:|
| SU2 | 2 | 0.385 | [0.226, 0.521] | 7.140e-06 |
| SU2 | 3 | 0.387 | [0.245, 0.526] | 6.327e-06 |
| SU3 | 2 | 0.385 | [0.242, 0.526] | 7.044e-06 |
| SU3 | 3 | 0.387 | [0.234, 0.532] | 6.291e-06 |

## Correlation Plots

### SU2
![SU2 Correlation](results/SU2_correlation.png)

### SU3
![SU3 Correlation](results/SU3_correlation.png)
