Enter the standard deviation of a population and sample of two different sets of information into the calculator. The calculator will evaluate the f statistic, also known as the f value.

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## F Statistic Formula

The following equation can be used to calculate the f-value of two sets of data.

*f* = [ *s*_{1}^{2}/σ_{1}^{2} ] / [ *s*_{2}^{2}/σ_{2}^{2} ]

- Where f is the f statistic (f value)
- S1 is the standard deviation of the sample of population 1
- σ
_{1}is the standard deviation of population 1 - S2 is the standard deviation of the sample of population 2
- σ2 is the standard deviation of population 2

## F Statistic Definition

An f statistic is defined as the ratio between the standard deviations of both the population and samples of two different but connected sets of data.

## F Statistic Example

How to calculate an f statistic

**First, determine the standard deviations of the populations**Calculate the standard deviations of both populations of data.

**Next, determine the standard deviations of the samples**Take 1 sample set from each population and calculate their standard deviations.

**Calculate the F Statistic**Enter the standard deviations from steps 1 and 2 into the equation presented above to calculate the f value.

## FAQ

**What is an f statistic?**

An f statistic, also known as an f value, is a ratio that compares the standard deviations of a sample and population of two separate but related pieces of data.

**What is a standard deviation?**

A standard deviation is the average deviation from the mean that a random value can be expected to have.