F-Statistic Calculator
Calculate the F-ratio and p-value from two variances.
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Enter two variances (or mean squares) and their degrees of freedom. The F-statistic is the ratio of the larger variance to the smaller. The calculator computes the F-ratio and its p-value.
About This Calculator
The F-statistic is the ratio of two variances. In ANOVA, it compares between-group variance to within-group variance. In regression, it tests overall model significance. A large F-value indicates that the variance explained by the model is significantly larger than unexplained variance.
Frequently Asked Questions
What does an F-statistic of 1 mean?
An F of 1 means the two variances are equal. Values much larger than 1 suggest the numerator variance is significantly larger.
Can the F-statistic be less than 1?
Yes, but by convention the larger variance is usually placed in the numerator. An F less than 1 means the denominator variance is larger.
How is F related to t?
For comparing two groups, F = t-squared. The F-test with df1=1 is equivalent to a two-tailed t-test.