F Table

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.

Can't find your F-value?

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 3.287

qf(0.95, df1 = 3, df2 = 15)
# [1] 3.287382

Example 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

qf(0.99, df1 = 5, df2 = 40)
# [1] 3.51384

Related Calculators

F Distribution Calculator

One-Way ANOVA

T Distribution Table

Chi-Square Table

F Table

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.

Can't find your F-value?

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 3.287

qf(0.95, df1 = 3, df2 = 15)
# [1] 3.287382

Example 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

qf(0.99, df1 = 5, df2 = 40)
# [1] 3.51384

Related Calculators

F Distribution Calculator

One-Way ANOVA

T Distribution Table

Chi-Square Table

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 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