F-Test Calculator
Compare two sample variances with an F-test, returning the F statistic and p-value.
Inputs
F Statistic
1.3392
P-value (two-tailed)
0.784016
Variance of Sample 1
39.8000
Variance of Sample 2
53.3000
Step by step
Values used
Sample 1 (comma separated) = 6, 7, 9, 15, 21; Sample 2 (comma separated) = 20, 28, 31, 33, 40
Formula applied
F = s₁² / s₂² (larger variance in numerator)
F Statistic
= 1.3392
P-value (two-tailed)
= 0.784016
Variance of Sample 1
= 39.8000
Variance of Sample 2
= 53.3000
How it works
The F-test for equality of variances compares two sample variances. The F statistic is the ratio of the larger to the smaller variance. A significant result (small p-value) indicates the population variances are likely unequal.
Formula
F = s₁² / s₂² (larger variance in numerator)
- s₁²
- Larger sample variance
- s₂²
- Smaller sample variance
Frequently Asked Questions
What are the assumptions of the F-test?
Both samples must be independent and drawn from normally distributed populations. The F-test is sensitive to non-normality.
How does this relate to ANOVA?
ANOVA uses the F distribution to compare means across groups. This F-test specifically compares two variances rather than means.