Genetic Power Calculator for Quantitative Traits

Model allele effects with practical power estimates today. Tune sample size, alpha, and variance inputs. Export clean study evidence for quantitative trait planning decisions.

Calculator

Total unrelated participants with phenotype data.
Use the coded allele frequency.
Raw beta or standardized beta.
Use 0 when no covariate adjustment is planned.
Enter percent, such as 80.

Example Data Table

Sample size Allele frequency Effect Trait SD Alpha Model Approximate power
1000 0.25 0.15 1.00 0.05 Additive 82.7%
500 0.10 0.10 1.00 0.05 Additive 15.5%
3000 0.30 0.08 1.20 0.01 Dominant 44.0%

Formula Used

The calculator uses a normal approximation for a linear genetic association test.

Additive genotype variance: Var(G) = 2p(1 - p).

Dominant genotype variance: Var(G) = c(1 - c), where c = 1 - (1 - p)^2.

Recessive genotype variance: Var(G) = r(1 - r), where r = p^2.

Standard error: SE = trait SD / sqrt(N x Var(G) x (1 - covariate R squared)).

Z effect: Z = absolute beta / SE.

Two-sided power: P(Z > critical value) plus lower-tail probability under the shifted normal curve.

Required N: ((critical Z + target Z)^2 x trait variance) / (beta^2 x Var(G) x adjustment).

How to Use This Calculator

  1. Enter the expected total sample size.
  2. Add the effect allele frequency for the tested marker.
  3. Enter a raw or standardized effect size.
  4. Set the trait standard deviation and alpha level.
  5. Choose the genetic model and test direction.
  6. Use Bonferroni correction when many markers are tested.
  7. Press Calculate Power and review the result above the form.
  8. Download the CSV or PDF report when needed.

Genetic Power for Quantitative Traits

A genetic power calculator helps estimate whether a study can detect an allele effect on a measured trait. Quantitative traits include height, blood pressure, enzyme activity, lung capacity, or any value recorded on a continuous scale. The calculator uses sample size, trait spread, allele frequency, effect size, and significance level to estimate power.

Why Power Matters

Power is the chance of finding a true effect when it exists. Low power can hide useful biology. Very low power can also waste samples, money, and laboratory time. Strong planning gives a clearer view of the number of participants needed before genotyping begins.

Key Inputs

Sample size controls the amount of information in the test. A larger sample lowers the standard error. Allele frequency also matters. Rare alleles give less genotype variation, so they often need more participants. The trait standard deviation describes natural spread. A larger spread makes small effects harder to detect. The alpha level sets the evidence threshold. Multiple testing lowers the effective alpha when Bonferroni correction is used.

Model Choice

The calculator supports additive, dominant, and recessive coding. Additive coding treats genotypes as zero, one, and two effect alleles. Dominant coding compares carriers with noncarriers. Recessive coding compares homozygous effect carriers with everyone else. Each model changes genotype variance and power.

Interpreting Results

Calculated power is reported as a percentage. A value near eighty percent is often used as a planning target, but the best target depends on study cost and risk. The Z effect shows signal strength relative to the standard error. Required sample size estimates how many participants are needed for the chosen target power. The minimum detectable effect shows the smallest effect likely to be detected with the current design.

Practical Notes

This tool gives an approximation for linear association testing. It assumes random sampling, independent participants, reliable phenotypes, and correct trait scaling. Real studies may need adjustments for ancestry, relatedness, batch effects, missing data, and phenotype transformation. Use the output as planning guidance, then confirm the final design with specialist statistical review. Good records improve repeatability. Save assumptions with every report. Compare several effect sizes and allele frequencies before selecting the design for recruitment and funding decisions and team review.

FAQs

What is a quantitative trait?

A quantitative trait is measured on a numeric scale. Examples include weight, height, pressure, enzyme level, reaction time, or a lab concentration. The calculator assumes a continuous trait analyzed with a linear association model.

What does power mean here?

Power is the probability of detecting the specified genetic effect when it is truly present. Higher power reduces the chance of missing a real association.

Which genetic model should I choose?

Use additive when each extra allele may change the trait. Use dominant when one or two copies act similarly. Use recessive when two effect alleles are needed.

What is effect allele frequency?

It is the frequency of the allele used in the effect coding. For additive coding, it controls genotype variance and strongly affects power.

Should I use Bonferroni correction?

Use it when many independent tests are planned. It divides alpha by the number of tests. This makes detection harder but controls false positive risk.

Can I enter standardized effects?

Yes. Choose standardized units when the effect is expressed in trait standard deviation units. The calculator converts it into raw units internally.

Why is rare allele power low?

Rare alleles create less genotype variation in the sample. Less variation increases the standard error and reduces the ability to detect a small effect.

Is this suitable for final study approval?

Use it for planning and comparison. Final study approval may require review by a statistician, genetic epidemiologist, or ethics committee.


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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.