F-Statistic Calculator

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Variance ratio: compare two sample variances. Regression: test joint significance of excluded coefficients. F to p-value: enter an F-statistic directly.
The probability threshold for rejecting the null hypothesis, commonly 0.05 or 0.01.
One-tailed (right) is standard for ANOVA and regression. Two-tailed is used when testing whether variances differ in either direction.
The sample standard deviation of the first group (square root of the sample variance).
Number of observations in the first group. Minimum 2.
The sample standard deviation of the second group.
Number of observations in the second group. Minimum 2.
F-statisticNot significant
1.601

Ratio of the two mean squared quantities under test

Numerator df24
Denominator df29
p-value0.1131
Critical F-value1.9005
DecisionFail to reject H₀: insufficient evidence that variances differ (p ≥ α).
1.60127.4% above · F

F = 1.601: not statistically significant at α = 0.05

  • The F-statistic follows an F(24, 29) distribution under the null hypothesis.
  • The p-value is 0.1131: the probability of this result (or more extreme) if H₀ is true.
  • Sample 1 variance (153.7600) is 1.60x the Sample 2 variance (96.0400).

Next stepNo significant variance difference: a pooled t-test (equal-variance assumption) is acceptable for means comparison.

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