Enter the larger variance and the smaller variance into the Calculator. The calculator will evaluate the Fmax Test Ratio. 

Fmax Test Ratio Formula

Fmax = LV / SV


  • Fmax is the Fmax Test Ratio ()
  • LV is the larger variance
  • SV is the smaller variance

To calculate Fmax Test Ratio, divide the larger variance by the smaller variance.

How to Calculate Fmax Test Ratio?

The following steps outline how to calculate the Fmax Test Ratio.

  • First, determine the larger variance. 
  • Next, determine the smaller variance. 
  • Next, gather the formula from above = Fmax = LV / SV.
  • Finally, calculate the Fmax Test Ratio.
  • After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

larger variance = 80

smaller variance = 40


What is variance in statistical analysis?

Variance is a measure of the dispersion of a set of data points in a data set. It quantifies how much the numbers in the distribution deviate from the mean (average) of the set.

Why is it important to calculate the Fmax Test Ratio?

The Fmax Test Ratio is used to test the hypothesis that variances are equal across samples. It is important in determining if different populations have the same variability or not, which can influence the interpretation of other statistical tests.

Can the Fmax Test Ratio be used for any size of sample?

While the Fmax Test Ratio can be applied to samples of various sizes, its reliability may decrease with very small sample sizes. It’s recommended to use it in conjunction with other statistical tests for more accurate analysis.

How does the Fmax Test Ratio compare to other variance equality tests?

The Fmax Test Ratio is one of several methods for testing the equality of variances across groups. Compared to others, like Levene’s test or Bartlett’s test, it is straightforward but may not be as robust against deviations from normal distribution.