The F table provides critical values for the F-distribution, which is commonly used in analysis of variance (ANOVA), comparing variances, and testing the overall significance of regression models.
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If you can't find the F-value you're looking for, please use our F Distribution Calculator.
How to Use the F Table
- Select your desired significance level (α) from the dropdown menu
- Find your numerator degrees of freedom (df₁) in the leftmost column
- Locate your denominator degrees of freedom (df₂) in the top row
- The intersection gives you the critical F-value for your test
- Hover over any value to visualize the corresponding area in the F-distribution chart
Important Notes
- The table shows critical values for right-tailed tests (most common for F-tests)
- Numerator df₁ = number of groups - 1 (for one-way ANOVA)
- Denominator df₂ = total sample size - number of groups (for one-way ANOVA)
- The F-distribution is always positive and right-skewed
- As both df₁ and df₂ increase, the distribution becomes more symmetric
How to use F table?
Example 1: α = 0.05, df₁ = 3, df₂ = 15
- The default α for this table is 0.05
- Locate 3 in the left column
- Find 15 in the top row
- The critical F-value is 3.24
R
qf(0.95, df1 = 3, df2 = 15)
# [1] 3.287382Example 2: α = 0.01, df₁ = 5, df₂ = 40
- Change the α to 0.01 on the top left of the table
- Locate 5 in the left column
- Find 40 in the top row
- The critical F-value is 3.514
R
qf(0.99, df1 = 5, df2 = 40)
# [1] 3.51384