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How many animals do you need?

Work out animals per group from the effect you expect, or with the resource equation when there's no effect size to go on. You'll get the total with expected losses and a paragraph for your IACUC protocol.

What do you have to go on?
How do you want to enter the effect?

The smallest difference worth finding

How much animals in one group vary

Such as seconds or grams, for the paragraph

Usually 0.05

Usually 80% or 90%

For the paragraph, such as our pilot study of 6 mice per group

Control groups included, 2 to 20

Animals you expect to lose before the end

%

Your numbers show here.

Enter the difference you expect and its standard deviation. Nothing you type leaves your browser.

The rule

Why your IACUC asks for the numbers

Under 9 CFR 2.31(e)(2) and PHS Policy IV.D.1.b, a protocol gives a rationale for the number of animals it uses. A power calculation, or the resource equation for exploratory work, gives that rationale in numbers.
The math

How the numbers are worked out

  • Power calculation

    For two equal groups compared with a two-sided, two-sample t-test, the calculator finds the smallest number per group that reaches your power, from the exact noncentral t distribution. Small groups need that precision: at an effect size of 2, 5 per group gives 79.1% power, so 80% takes 6.
  • Effect size

    The effect size d is the difference you expect divided by the standard deviation. Enter both, or d itself, from 0.1 to 10.
  • Expected losses

    Each group gets enough extra animals for the losses you expect: the number to analyze divided by one minus the loss, rounded up. With 10 to analyze and 10% losses, you request 12.
  • Resource equation

    For k groups of n animals, E = k(n - 1) should fall from 10 to 20. With 4 groups, that's 4 to 6 animals per group (Festing and Altman, 2002).
Questions

Common questions

What if I have more than two groups?
The calculation compares two groups at a time, so it gives the number for each pair you compare. If you'll compare several pairs, you may need a stricter significance level. Ask a statistician which test fits your design.
Where does the effect size come from?
From a pilot study or a published paper that measured the same outcome. Use the smallest difference that would matter biologically (Festing and Altman, 2002).
When should I use the resource equation?
For exploratory work, where no effect size can be estimated in advance. When you can estimate one, a power calculation is the better justification (Arifin and Zahiruddin, 2017).
Does the calculator keep my numbers?
Your numbers stay in this browser, so they're there when you come back, and we don't receive them.