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Sample Size Calculator

The right number of participants, justified.

Pick your study design from 30 epidemiological designs, enter a few numbers, and get the formula, the worked calculation, a sensitivity table and a ready-to-paste methods sentence.

✓ 100% free  ·  ✓ No sign-up  ·  ✓ Runs in your browser

Who this is for

Students and researchers writing a proposal, ethics application or methods chapter who need a defensible sample size without a statistician on call.

Watch it work

Your sample size in four steps

Follow the walkthrough — click any step to see it, or let it play.

MrThesis · Sample size

Study design

Cross-sectional · single proportionCase-controlCohortRandomised trial

Your assumptions

  • Expected prevalence 30%
  • Margin of error 5%
  • Confidence level 95%
  • Expected non-response 10%

Required sample size

359participants
n = Z² · p(1 − p) / d²= 1.96² × 0.30 × 0.70 / 0.05² = 323÷ (1 − 0.10) non-response → 359

Methods sentence

Assuming a prevalence of 30%, a 5% margin of error and 95% confidence, the minimum sample was 323; allowing for 10% non-response, 359 participants will be recruited.
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✓ Copied — paste into your proposal

What you get

Ready for your thesis

  • Required sample size with non-response adjustment
  • Formula and worked calculation
  • Sensitivity table for power and precision
  • Methods-section sentence and references
  • 30 study designs: cross-sectional, case-control, cohort, RCTs, diagnostic accuracy and more
  • Shows the formula and every calculation step
  • Sensitivity table for power and margin choices
  • Methods-section sentence you can paste into your proposal
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Paid help · when you want it

Prefer an expert to do it?

Our statisticians can take over this step for you — fully justified, checked and explained for your supervisor or reviewers.

FAQ

Sample Size Calculator, answered

Which designs are covered?+

Thirty common epidemiological and clinical designs, from single proportions to cluster trials and diagnostic accuracy studies.

Will my supervisor accept it?+

Each result shows the formula, inputs and references so it can be checked and cited.

What if my design is not listed?+

Ask for expert help — we will calculate and justify it for your exact design.

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