Two-Way ANOVA: Definition & Application

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question 1 of 3

A two-way ANOVA is performed and the f-ratio for factor A is calculated to be 4.8. The critical f-ratio at a significance level of alpha = 0.05 is 4.3. From this information, what can you conclude about how factor A is influencing the measured variable?

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1. In which of these situations would you use a two-way ANOVA?

2. A two-way ANOVA is performed and the sum of squares for factor B (SS-B) is found to be 312. If there are 5 groups in factor B, what is the value for the mean square (MS-B)?

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About This Quiz & Worksheet

Test and review what you know about two-way ANOVA and how it is used with this quiz and worksheet combo. You'll check your understanding of what a two-way ANOVA is and how it can help you test variables.

Quiz & Worksheet Goals

Use this quiz and worksheet to help you review:

  • How to determine if a variable has had a significant effect on the study
  • When it is appropriate to use a two-way ANOVA
  • Finding the mean square value
  • Determining the f-ratio

Skills Practiced

  • Knowledge application - review what you know about ANOVA and answer questions about a two-way ANOVA
  • Problem solving - use your knowledge of the mean square difference to solve problems
  • Information recall - see if you remember what instances a two-way ANOVA is good for

Additional Learning

Learn more about this topic in the accompanying lesson, Two-Way ANOVA: Definition & Application. This lesson highlights:

  • What ANOVA stands for
  • The number of hypothesis tested with a two-way ANOVA
  • Calculating the mean difference
  • Understanding the results and if there is significant data to back up the hypothesis
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