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.

## F Statistic Formula

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

f = [ s1212 ] / [ s2222 ]

• Where f is the f statistic (f value)
• S1 is the standard deviation of the sample of population 1
• σ1 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

1. First, determine the standard deviations of the populations

Calculate the standard deviations of both populations of data.

2. Next, determine the standard deviations of the samples

Take 1 sample set from each population and calculate their standard deviations.

3. 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.