Hardy Weinberg Chi Square Calculator

Check observed genotype counts against expected equilibrium. Compare allele frequencies, chi square strength, and significance. Download concise reports for clear genetic population analysis now.

Calculator Inputs

Reset

Example Data Table

Genotype Observed Count Use
AA 48 Observed homozygous dominant count
Aa 38 Observed heterozygous count
aa 14 Observed homozygous recessive count

Formula Used

Total sample: N = AA + Aa + aa

Estimated allele frequency: p = (2AA + Aa) / (2N)

Second allele frequency: q = 1 - p

Expected AA: Np²

Expected Aa: 2Npq

Expected aa: Nq²

Chi square: χ² = Σ((Observed - Expected)² / Expected)

Degrees of freedom: 1 when p is estimated from data. It is 2 when p is supplied as known.

How To Use This Calculator

  1. Enter allele labels, such as A and a.
  2. Enter observed counts for all three genotype classes.
  3. Select whether p should be estimated or entered as known.
  4. Enter alpha, such as 0.05, for the decision rule.
  5. Choose decimal places for the displayed report.
  6. Press Calculate to view results above the form.
  7. Use CSV or PDF download buttons after calculation.

Hardy Weinberg Chi Square Testing Guide

Hardy Weinberg analysis checks whether genotype counts match equilibrium expectations. The method is useful in population genetics and breeding studies. It compares observed genotypes with expected genotypes based on allele frequencies. Large differences may suggest selection, migration, mutation, assortative mating, small samples, or counting errors.

What The Calculator Measures

This calculator estimates allele frequencies from observed AA, Aa, and aa counts. It can also use a known allele frequency when supplied. The expected values are then computed with p squared, two p q, and q squared. Each observed value is compared with its expected value. The chi square statistic combines those differences into one test value.

Why Expected Counts Matter

Expected counts should not be too small. Low expected values can make the chi square approximation weak. Many textbooks prefer every expected genotype count to be at least five. When values are lower, you should treat the decision carefully. More samples or an exact test may be better.

Understanding The Decision

The p value shows how unusual the observed deviation is under equilibrium. A small p value means the sample is unlikely under the model. If the p value is below alpha, the calculator marks the result as significant. This does not prove a single biological cause. It only shows evidence against equilibrium.

Good Data Practices

Use counts from one population and one generation. Avoid mixing locations, cohorts, or sampling methods. Confirm that genotype classes are mutually exclusive. Round only for reporting, not before calculation. Review the expected table before interpreting the final decision.

Practical Use Cases

Researchers can screen loci for equilibrium before association studies. Teachers can demonstrate allele frequency estimation. Breeders can compare observed mating outcomes with predicted proportions. Students can export results for lab reports and assignments.

Interpreting With Care

Hardy Weinberg testing is a model check, not a complete explanation. A significant result needs biological context. Nonrandom mating, hidden population structure, genotyping mistakes, and natural selection can all affect the outcome. A nonsignificant result also needs care. It may reflect equilibrium, or it may reflect low statistical power.

The calculator shows allele frequencies, expected counts, component values, degrees of freedom, p value, and conclusion. Use downloads to save your work.

FAQs

What does this calculator test?

It tests whether observed genotype counts fit Hardy Weinberg equilibrium expectations using a chi square statistic and p value.

Which genotype counts are needed?

You need three observed counts: homozygous dominant, heterozygous, and homozygous recessive. All counts should come from the same sampled population.

What is p in this calculator?

The value p is the frequency of the first allele. The calculator can estimate it from genotype counts or accept a known value.

What is q in this calculator?

The value q is the frequency of the second allele. For two alleles, q equals one minus p.

Why is degrees of freedom sometimes one?

When p is estimated from the same data, one parameter is used. That reduces the genotype test degrees of freedom to one.

Why can expected counts matter?

Small expected counts weaken the chi square approximation. If any expected count is below five, interpret the result carefully.

Does a significant result prove selection?

No. A significant result only shows evidence against equilibrium. Selection, migration, mutation, structure, or genotyping errors may explain it.

Can I export the result?

Yes. After calculation, use the CSV button for spreadsheet data or the PDF button for a simple report.

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