The two sample t-test is useful because it compares the means between two groups, whereas ANOVA compares the means across multiple groups. Does the utility of ANOVA decline as we begin to compare more and more groups? Explain.
Define a main effect and an interaction and identify the patterns of data that produce main effects and
interactions.
Develop an example, where a two-factor ANOVA is used. List the two independent variables (factor A and
factor B) in the examples. Explain what the purpose of your study would be, and why a two-factor ANOVA would be a good choice.