You can easily find the p value corresponding to an F value with our . If you want to find the p value by using a table with critical F values, instructions are given below.

Finding $p$ value corresponding to $F$ value, using the table with critical $F$ values

Assuming a table giving five upper tail probabilities (denoted $p$ or $\alpha$) per df numerator / df denominator combination


$p$ value is the probability of finding the observed $F$ value or a larger value, given that the null hypothesis is true.
  1. Find the column with the correct number of degrees of freedom (df) in the numerator. This is the degrees of freedom corresponding to the numerator in the formula for the $F$ value (e.g., df model, df between, df regression, etc.)
  2. Find the rows with the correct number of degrees of freedom in the denominator. This is the degrees of freedom corresponding to the denominator in the formula for the $F$ value (e.g., df error, df within, df residual, etc.)
  3. You now have five options for $F$, each corresponding to a different upper tail probability (which you can find in the column named "$p$" or "$\alpha$"). Find the two $F$ values that enclose the $F$ value that you found, and check what their corresponding upper tail probabilities are. The $p$ value corresponding to your $F$ value is between these two values
p value given F value