Hardy-Weinberg 3-Allele Calculator

The Hardy-Weinberg 3-Allele Calculator determines tri-allelic gene frequencies (p, q, r), expected multi-locus genotype distributions, and Chi-square (χ²) goodness-of-fit statistics across diploid populations. Enter observed counts for six genotype combinations to verify whether the locus is in Hardy-Weinberg equilibrium or subject to evolutionary selection.

Reviewed by biology faculty Peer-reviewed bio-mathematical formula Instant client-side calculation
Homozygote 1-1 observed count
Heterozygote 1-2 count
Heterozygote 1-3 count
Homozygote 2-2 count
Heterozygote 2-3 count
Homozygote 3-3 count
Preset examples: Example 1 Example 2 Example 3

Enter values above and click Calculate.

How to use this calculator

  1. Review your experimental or clinical parameters before entry.
  2. Enter numeric observations into each respective input field.
  3. Select the required calculation units or administration set factors.
  4. Examine derived values, statistical goodness-of-fit metrics, and clinical guidance.

Scientific Illustration & Mathematical Concept

Hardy-Weinberg 3-Allele Calculator concept diagram

Mathematical derivation & reference equations

This calculator executes standardized bio-mathematical algorithms with precision floating-point arithmetic.

Review Bernstein population frequency formulas for 3-allele systems in our tri-allelic ABO blood group genetics guide.

For standard biallelic ($p^2 + 2pq + q^2 = 1$) population models, consult our two-allele Hardy-Weinberg equilibrium calculator.

Reference ranges & clinical interpretation

Numerical parameters should always be interpreted within the context of specific biological systems and validated reference controls.

Frequently asked questions

How are mathematical outputs computed?

Calculations occur instantly in client-side JavaScript following peer-reviewed algorithms. No user input or patient data is ever transmitted across network boundaries.

Can I print a formatted report for records?

Yes. Clicking "Print Lab Record" generates a clean, single-page printable report formatted specifically for laboratory benches and clinical binders.