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Math & Statistics

One-Way ANOVA Calculator

Compare the means of three groups using an F-test.

Your inputs

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Math & Statistics

F-statistic

3.2215

df between

2

df within

27

P-value

0.0556

No significant difference among group means

Formula and working

F = MSbetween ÷ MSwithin

  1. 1

    Collect the inputs

    Group 1 mean = 20; Group 1 std dev = 3; Group 1 size = 10; Group 2 mean = 24; Group 2 std dev = 3.5; Group 2 size = 10; Group 3 mean = 22; Group 3 std dev = 4; Group 3 size = 10

  2. 2

    Apply the formula

    F = MSbetween ÷ MSwithin

  3. 3

    Result

    F-statistic = 3.2215

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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