Created by Rita Rain Show
Reviewed by Dominik Czernia, PhD and Jack Bowater Last updated: Oct 01, 2022 This degrees of freedom calculator will help you determine this crucial variable for onesample and twosample ttests, chisquare tests, and ANOVA**. Read the text to find out:
What are degrees of freedom? DefinitionLet's start with a definition for degrees of freedom: Degrees of freedom indicate the number of independent pieces of information used to calculate a statistic; in other words  they are the number of values that are able to be changed in a data set. That may sound too theoretical, so let's take a look at an example: Imagine we have two numbers:
Any time you assign some two values, the third has no "freedom to change", hence there are two degrees of freedom in our scenario. Now that we know what degrees of freedom are, let's learn out how to find df. How to find degrees of freedom  formulasThe formula for degrees of freedom depends on the type of statistical test you're performing. Below, you'll see equations for the most popular ones:
✅ As you can see, the number of values in samples heavily influences the number of degrees of freedom. Learn more with our sample size calculator. Or, if you just wish to perform a ttest quickly and without worrying about df, use Omni's ttest calculator  it will take care of everything!
You can discover more about computing If you're wondering how to find Degrees of freedom calculatorThis is how to use the df calculator:
FAQHow to calculate degrees of freedom for ttest?To calculate degrees of freedom of a 1sample ttest:
How to calculate degrees of freedom for chisquare?To calculate degrees of freedom for the chisquare test, use the following formula:
that is:
How to calculate degrees of freedom for twosample ttest?To calculate degrees of freedom for twosample ttest, use the following formula:
that is:
How to calculate degrees of freedom for ANOVA?To calculate degrees of freedom for ANOVA:
Can degrees of freedom be 0?Yes, theoretically degrees of freedom can equal 0. It would mean there's one piece of data with no "freedom" to vary and no unknown variables. However, in practice, you shouldn't have 0 degrees of freedom when performing statistical tests. AB testCoefficient of determinationConfidence interval… 26 more How do you calculate degrees of freedom for T?To calculate degrees of freedom for twosample ttest, use the following formula: df = N₁ + N₂  2 , that is: Determine the sizes of your two samples.
