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F-Statistic Calculator

Statistics
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This calculator determines the F-statistic, a value used in ANOVA (Analysis of Variance) to compare the variances of two or more samples. It helps determine if the variances are significantly different.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Sum of Squares Between Groups (SSB), Degrees of Freedom Between Groups (dfB), Sum of Squares Within Groups (SSW), and Degrees of Freedom Within Groups (dfW) in the units shown.

Step 2

Read Mean Square Within Groups (MSW), Mean Square Between Groups (MSB), and F-Statistic in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Sum of Squares Between Groups (SSB): 100; Degrees of Freedom Between Groups (dfB): 2; Sum of Squares Within Groups (SSW): 500; Degrees of Freedom Within Groups (dfW): 15

Mean Square Within Groups (MSW): 33.33333333; Mean Square Between Groups (MSB): 50; F-Statistic: 1.5

Example 2

Sum of Squares Between Groups (SSB): 200; Degrees of Freedom Between Groups (dfB): 3; Sum of Squares Within Groups (SSW): 800; Degrees of Freedom Within Groups (dfW): 20

Mean Square Within Groups (MSW): 40; Mean Square Between Groups (MSB): 66.66666667; F-Statistic: 1.666666667

Example 3

Sum of Squares Between Groups (SSB): 50; Degrees of Freedom Between Groups (dfB): 1; Sum of Squares Within Groups (SSW): 250; Degrees of Freedom Within Groups (dfW): 10

Mean Square Within Groups (MSW): 25; Mean Square Between Groups (MSB): 50; F-Statistic: 2

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