How to Calculate the F-Ratio


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question 1 of 3

After performing an ANOVA, the F-ratio is calculated to be 2.29. At a significance level of alpha = 0.01, the critical F-ratio is 3.42. Based on this information, which of the following statements is true?

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1. Sarah performs an ANOVA and calculates that the between groups variation is 10.6 and the within groups variation is 2.2. What is the F-ratio?

2. LaToya is trying to find the correct critical F-ratio from a statistical table. In her experiment, there were 7 independent groups with 10 measurements per group, for a total or 70 measurements. What number should she use for df1?

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About This Quiz & Worksheet

When reviewing different sets of data, it can be helpful to show connections and differences, and this quiz has been created to determine if you know how to find the F-ratio during dataset comparisons. Questions on the quiz require you to do some calculations, and to do that successfully you will also need to understand the major terms and formulas related to finding the F-ratio.

Quiz & Worksheet Goals

With these assessment tools, you can find out how familiar you are with the following:

  • True statements about performing an ANOVA with given variables
  • Finding the F-ratio given provided group variation data
  • Determining the df1 in a sample problem
  • Purposes for performing an ANOVA
  • Method for identifying the df2 in a practice problem

Skills Practiced

This worksheet and quiz let you refine the following skills:

  • Problem solving - use acquired knowledge to solve ANOVA practice problems
  • Distinguishing differences - compare and contrast topics from the lesson, such as df1 and df2
  • Information recall - access the knowledge you've gained regarding how to find the F-ratio

Additional Learning

Examine more details about this topic with the related lesson, How to Calculate the F-Ratio. Use the lesson if you need help answering the quiz questions, or if you want to become more knowledgeable about the following:

  • An overview of statistics and comparisons of groups of data
  • The definition of ANOVA
  • A formula guide for variance calculations