Question: 1. In a 2 2 factorial ANOVA, there are two main factors and each factor has two levels. Furthermore, when analyzing the data from a
1. In a 2 2 factorial ANOVA, there are two main factors and each factor has two levels. Furthermore, when analyzing the data from a 2 2 factorial design study, one of the objectives is to determine if there is any difference between the group means of each main factor. For example, in the weather knowledge study we examined the difference in group means between Part 61 vs. Part 141 for the main factor Type of Flight School, and we examined the difference in group means between Civilian vs. Military for the main factor Source of CFI Training. Note that if we were to consider each factor separately, then we could examine these differences in group means by performing two separate independent samples t test or two separate one-way between groups ANOVAs. Although we have not yet done so, do you think that when we conduct a hypothesis test for the corresponding 2 2 factorial ANOVA that the results for each main effect will be the same as the results we would get by performing separate independent samples t test? Explain.
2. What advantage(s) does a two-way ANOVA provide over a one-way ANOVA?
3. Think of an example of a possible research study you might conduct relative to your current employment that would benefit from a 2 2 factorial ANOVA. Explain.
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