Discussion Questions

1. How is ANOVA different from linear and multiple regression? What are the steps in the former compared to the steps in the latter? Are there some problems that tend themselves to an ANOVA framework and some that do not? Provide a few examples and discuss these as a class.

2. The two sample t-test is useful because it compares the means between two groups, whereas ANOVA compares the means across multiple groups (e.g., Republicans, Democrats, and Independents). Does the utility of ANOVA decline as we begin to compare more and more groups?

3. What is one-way ANOVA? Discuss and explain how the five steps of hypothesis testing are used in one-way ANOVA.

4. Describe the F statistic, or the F ratio, as discussed in chapter 11. As a ratio, what is the numerator and what is the denominator?

5. Based on either your own research or research you have read about in the literature, which hypothesis test is the most common? What are some reasons why this test may be more common than others?

6. Discuss why we use two degrees of freedom values to find critical F in ANOVA.