F Distribution Table: α = 0.10

F Table, α = 0.10

Columns: numerator df (df₁) · Rows: denominator df (df₂) · Cells: F with area α to its right

Tip: click any value to highlight its row and column.

How to read this table

1. Find df₁ (numerator) and df₂ (denominator). In a one-way ANOVA with k groups and N subjects, df₁ = k − 1 and df₂ = N − k.
2. Go across to the column for df₁ and down to the row for df₂.
3. Reject H₀ at α = 0.10 if your F statistic is larger than the cell.
4. For other significance levels, switch table with the buttons above, or use the calculator for any df and α.

Worked example

A one-way ANOVA compares 3 treatment groups with 11 patients each, so df₁ = 3 − 1 = 2 and df₂ = 33 − 3 = 30. Column 2, row 30 gives 2.489. An F statistic larger than 2.489 is significant at α = 0.10.

Lower critical values. The table gives upper-tail values only. For a lower critical value, swap the degrees of freedom and take the reciprocal: F_lower(df₁, df₂) = 1 / F_upper(df₂, df₁). For example, the lower critical value for (2, 30) is 1 / 9.458 = 0.1057. The calculator above shows both.

Click the underlined links to highlight the value in the table.

Formula and how the values were computed

Each cell is the upper-0.10 quantile of the F distribution with (df₁, df₂) degrees of freedom, computed in double precision. The ∞ columns and rows are the limiting chi-square forms.

Frequently asked questions