Statistics & probability

Sample variance ratio calculator

Compute a sample variance ratio and its upper-tail probability under equal variances.

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Behind the numbers

How this calculation works

Compute a sample variance ratio and its upper-tail probability under equal variances.

THE FORMULAF=s₁²/s₂², degrees of freedom n₁−1 and n₂−1

A worked example

Standard deviations 6 and 3 produce F=4.

Good to know

The probability assumes independent normal samples.

Read the result

Compute a sample variance ratio and its upper-tail probability under equal variances.

The primary result is labeled “F ratio”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

The probability assumes independent normal samples.

For a related exercise, try the statistics calculator.

A few questions, answered

How can I check the default inputs by hand?

Standard deviations 6 and 3 produce F=4.

Which rule does this calculator apply?

F=s₁²/s₂², degrees of freedom n₁−1 and n₂−1

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