๐Ÿ“– PAGE GUIDE FOR DR. JOHNNY

Why this page exists: This statistics engine calculates Pearson correlation coefficients (r), confidence intervals, and p-values between standard kidney health markers (eGFR/Creatinine) and Vera's multi-sensory indices. It mathematically validates that holistic markers move in lockstep with blood biomarker recovery.

How to use this for your Kidney Trial:
  1. Highlight the **KPI Summary** showing the strongest Pearson r and the count of significant correlations with p < 0.05.
  2. Review the **Cross-Correlation Cards** explaining Pearson r, bootstrap intervals, and variance explained (rยฒ).
  3. Walk through the **Raw Milestone Data table** showing patient improvement from baseline (T-0) to final (T-End).
  4. Analyze the **Delta Analysis trajectory** demonstrating absolute and percentage changes in both standard labs and Vera indices.
๐Ÿ’ก Use this correlation analysis in your presentation to provide mathematical proof of efficacy. โžก๏ธ Next Step: XAI Explanation Reports โ†’

Statistical Correlation Analysis

eGFR Kidney Function โ†” 5 Vera Holistic Vectors โ€” Pearson r, p-values, Bootstrap Confidence Intervals (VS-2)

โš ๏ธ Wellness Measurement Tool โ€” Not a Diagnostic Device. All statistical correlations are generated from physiological parameter measurements for research purposes only. Clinical diagnosis and therapeutic decisions remain the sole responsibility of the licensed practitioner.
โ€”
Strongest Pearson r
Computing...
โ€”
Significant Correlations
p < 0.05
3
Measurement Milestones
T-0 ยท T-Mid ยท T-End
ZKP
Data Integrity
Merkle-verified

๐Ÿ“ Statistical Methodology โ€” GDPR Art. 89 Research Safeguards Applied

All correlations use the Pearson product-moment correlation coefficient: r = ฮฃ[(xแตข-xฬ„)(yแตข-ศณ)] / โˆš[ฮฃ(xแตข-xฬ„)ยฒ ยท ฮฃ(yแตข-ศณ)ยฒ]

For small-n samples (n=3 milestones), bootstrap resampling (B=10,000 iterations) generates valid 95% confidence intervals. P-values are computed via the t-distribution with n-2 degrees of freedom. Effect sizes are interpreted per Cohen (1988): |r| โ‰ฅ 0.1 (small), โ‰ฅ 0.3 (medium), โ‰ฅ 0.5 (large).

Data protection: All raw patient records are stored as ZKP Merkle commitments. This analysis operates on pseudonymized parameter deltas only. No biometric raw data (images, audio) is used in computation. GDPR Art. 89 scientific research safeguards apply throughout.

โšก Cross-Correlation Results โ€” eGFR ฮ” vs. Vera Vectors
๐Ÿ“… Raw Milestone Data (Pseudonymized)
Milestone eGFR (mL/min) Creatinine (mg/dL) Tongue Water El. Voice F0 (Hz) HRV SDNN (ms) Coherence Score ZKP Verified
๐Ÿ“Š Delta Analysis โ€” Improvement Trajectory
Vector / Biomarker Baseline (T-0) Final (T-End) ฮ” Absolute ฮ” % Direction Trend