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1.1.2 - Explanatory & Response Variables.1.1.1 - Categorical & Quantitative Variables.Book traversal links for 10.1 - Introduction to the F Distribution Note: When you conduct an ANOVA in Minitab, the software will compute this p-value for you. The area beyond an F-value of 2.57 with 3 and 246 degrees of freedom is 0.05487. Fill in the Numerator degrees of freedom with 3 and the Denominator degrees of freedom with 246.Select Graph > Probability Distribution Plot > View Probability.We want to shade the area in the right tail.
![calculate denominator degrees of freedom calculate denominator degrees of freedom](https://media.cheggcdn.com/media/0d0/0d065d53-c036-483a-b141-ecba43a3fee9/phphXzHyy.png)
The numerator df (\(df_1\)) is 3 and the denominator df (\(df_2\)) is 246. Scenario: An F test statistic of 2.57 is computed with 3 and 246 degrees of freedom. Within groups is also referred to as error. Minitab will call these the numerator and denominator degrees of freedom, respectively. The F distribution has two different degrees of freedom: between groups and within groups. Later in this lesson we will see that this area is the p-value. For the F distribution we will always be looking for a right-tailed probability. The video below gives a brief introduction to the F distribution and walks you through two examples of using Minitab to find the p-values for given F test statistics. The steps for creating a distribution plot to find the area under the F distribution are the same as the steps for finding the area under the \(z\) or \(t\) distribution. The F test statistic can be used to determine the p-value for a one-way ANOVA. Similarly, in this lesson you are going to compute F test statistics. You computed \(z\) and \(t\) test statistics and used those values to look up p-values using statistical software. Earlier in this course you learned about the \(z\) and \(t\) distributions. One-way ANOVAs, along with a number of other statistical tests, use the F distribution.