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Hardy–Weinberg Equilibrium Calculator — result sheet
Estimate allele frequencies, expected two-allele genotype counts, and a chi-square screening value from observed genotype counts.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: N = AA + Aa + aa; p = (2AA + Aa)/(2N); q = 1 − p; expected counts = Np², N(2pq), and Nq².
This worksheet uses observed genotype counts for a diploid population with two alleles at one locus. It derives allele frequencies and the genotype counts expected under the Hardy–Weinberg model, then reports a Pearson chi-square diagnostic for comparison. The result is educational and exploratory, not a complete inference about a population.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Homozygous dominant count (AA) — individuals; minimum 0; maximum 1000000000
- Heterozygous count (Aa) — individuals; minimum 0; maximum 1000000000
- Homozygous recessive count (aa) — individuals; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Homozygous dominant count (AA) | 36 |
| Heterozygous count (Aa) | 48 |
| Homozygous recessive count (aa) | 16 |
N = 100, p = 0.60, q = 0.40, expected counts = 36, 48, and 16, with χ² = 0.
Assumptions and limits
- There are two alleles at the locus and individuals are diploid.
- AA, Aa, and aa counts refer to the same sampled population and locus.
- The heterozygote label combines Aa and aA because genotype order is not distinguished.
- Allele frequencies are estimated from the observed counts.
- Expected counts use p², 2pq, and q² under the idealized equilibrium model.
- The chi-square output is a screening value and does not include a chosen critical value or p-value.
- Sampling design, population structure, selection, migration, mutation, and linkage are not modeled.
- Biological interpretation requires the locus definition, sampling context, and appropriate statistical review.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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