F-Test Calculator: Compare Sample Variances

Calculate Your F-Statistic & Degrees of Freedom

Please provide a positive value for Sample 1 Variance.
Please provide a sample size of at least 2.
Please provide a positive value for Sample 2 Variance.
Please provide a sample size of at least 2.

F-Test Results

  • F-Statistic:
  • Degrees of Freedom 1 (df₁):
  • Degrees of Freedom 2 (df₂):

The F-Test Calculator helps you determine if two population variances are equal. Calculate the F-statistic and degrees of freedom (df1, df2) quickly for hypothesis testing and ANOVA. Input your sample variances and sizes to get instant results, essential for statistical analysis and research.

Formula:

The F-statistic is calculated as the ratio of two sample variances:

F = s₁2 / s₂2

Where:

  • s₁2 = Variance of Sample 1
  • s₂2 = Variance of Sample 2

The degrees of freedom for the F-distribution are:

  • df₁ = n₁ - 1 (Degrees of freedom for Sample 1)
  • df₂ = n₂ - 1 (Degrees of freedom for Sample 2)

Where:

  • n₁ = Size of Sample 1
  • n₂ = Size of Sample 2

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