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 = [ s12/σ12 ] / [ s22/σ22 ]
- 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
- 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.
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.
A standard deviation is the average deviation from the mean that a random value can be expected to have.