Hardy Weinberg Chi Square Calculator

Enter genotype counts, then review allele balance quickly. See expected proportions, chi square, and decisions. Export results for reports, lessons, or field records today.

Calculator Form

Example Data Table

Genotype Observed Count Expected Count Component
AA 48 49.0000 0.0204
Aa 44 42.0000 0.0952
aa 8 9.0000 0.1111
Total chi square 0.2268

Formula Used

Total sample size: N = AA + Aa + aa

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

Second allele frequency: q = 1 - p

Expected AA: p²N

Expected Aa: 2pqN

Expected aa: q²N

Chi square: Χ² = Σ((Observed - Expected)² / Expected)

Degrees of freedom: 1 for a standard biallelic Hardy Weinberg test.

How To Use This Calculator

Enter the population name and locus name if you want a labeled report.

Add allele labels, such as A and a, for readable genotype names.

Enter observed counts for the three genotype classes.

Select the significance level used in your lesson, lab, or study.

Press Calculate to show expected counts, allele frequencies, and the decision.

Use the CSV or PDF button to save the current calculation.

Why This Calculator Matters

Hardy Weinberg analysis checks whether genotype counts fit a stable population model. The model assumes random mating, no selection, no mutation, no migration, and a very large population. Real samples often break one or more assumptions. A chi square test gives a clear way to measure that departure. This calculator turns raw genotype counts into allele frequencies, expected counts, test components, and an interpretation.

What The Test Measures

The calculator estimates p and q from the observed AA, Aa, and aa classes. It then predicts the genotype counts expected under equilibrium. The expected AA count is p squared times the sample size. The expected Aa count is two times p times q times the sample size. The expected aa count is q squared times the sample size. Each observed class is compared with its expected class.

Reading The Result

The chi square statistic grows when observed and expected counts are far apart. A small statistic suggests the sample is close to equilibrium. A large statistic suggests a stronger deviation. For a standard biallelic Hardy Weinberg test, the calculator uses one degree of freedom because one allele frequency is estimated from the same sample. At the five percent level, a statistic above 3.841 usually rejects equilibrium.

Practical Notes

Use exact genotype counts, not percentages. The total sample size should represent one population, one locus, and one sampling period. Avoid mixing different subgroups unless that is the research question. If expected counts are very small, the chi square approximation can be weak. Larger samples usually give more reliable decisions.

Best Uses

This tool helps biology students, genetics instructors, field researchers, and data analysts document a repeatable calculation. The export buttons make it easier to save a report for lab notes. The example table also shows how each genotype contributes to the final statistic, so the decision is easier to audit.

Good Reporting Habits

Report the sample size, allele frequencies, expected counts, chi square value, chosen alpha level, and final decision. Keep the genotype labels consistent across tables. When publishing or submitting work, also describe the sampling method. Clear reporting helps readers see whether the statistical decision matches the biological question. It also supports later review and sharing.

FAQs

What does this calculator test?

It tests whether observed genotype counts differ from Hardy Weinberg expected counts. It uses allele frequencies from the sample and reports a chi square statistic.

Which genotype counts should I enter?

Enter the observed counts for homozygous dominant, heterozygous, and homozygous recessive classes. Use whole numbers from one population sample.

Why is the degree of freedom one?

For a standard biallelic test, one allele frequency is estimated from the same genotype data. That leaves one degree of freedom for the chi square decision.

What does p frequency mean?

The p frequency is the estimated frequency of the first allele. It is found from two copies in AA and one copy in Aa.

What does q frequency mean?

The q frequency is the estimated frequency of the second allele. In a two allele model, q equals one minus p.

When is equilibrium rejected?

Equilibrium is rejected when the chi square statistic is equal to or greater than the selected critical value for the chosen alpha level.

Why are small expected counts flagged?

Small expected counts can make the chi square approximation less reliable. A warning helps you review whether another method may be better.

Can I save the calculation?

Yes. Use the CSV button for spreadsheet records. Use the PDF button for a simple printable report with the main statistics and table.

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