F-Distribution / F-Test Calculator
Perform an F-test to compare two sample variances. Enter the variances and sample sizes to calculate the F-statistic and determine if the variances are significantly different.
The F-test compares two variances to determine if they are significantly different.
Formula: F = s₁² / s₂² (larger variance in numerator)
Degrees of Freedom
- df₁ = n₁ - 1 (numerator)
- df₂ = n₂ - 1 (denominator)
Applications
- Testing equality of variances before a t-test
- ANOVA (F-statistic compares between-group to within-group variance)
- Quality control
The F-distribution is always right-skewed and defined only for positive values.