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📊 Statistical Analysis in RNG Testing

Statistical analysis ensures the RNG output is uniformly distributed, unbiased, and independent. We run multiple standard tests on generated sequences to ensure fairness and unpredictability of outcomes.

🧪 Common Statistical Tests Performed

✔️ Frequency (Monobit) Test: Checks balance between 0s and 1s.
✔️ Runs Test: Verifies that runs of bits (like "000" or "111") occur as expected.
✔️ Autocorrelation Test: Detects patterns and dependency in the sequence.
✔️ Chi-Square Test: Verifies distribution uniformity.
✔️ Serial Test: Checks overlapping subsequences for randomness.
✔️ Entropy Calculation: Measures the uncertainty of the sequence.

🧬 Why Statistical Analysis is Essential?

Criteria	Why It's Needed
Fair Play	To ensure no bias exists in outcomes, particularly for skill-based games like Ludo or Rummy.
Compliance	Meets regulatory & audit requirements from Google Play, Payment Gateways (like Cashfree, Razorpay).
Certification	Part of RNG validation report accepted by authorities and legal teams.
Trust & Transparency	Builds credibility with users and business partners.

✅ Our testing framework is aligned with NIST SP800-22 and ISO/IEC 18031 standards.