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Homework 18

Homework 18

Q 1. A researcher is reporting the results of a factorial ANOVA at a conference. Both main effects and the interaction terms were statistically significant. As he is interpreting one of the main effects, another researcher from the audience stands up and says, “You can’t interpret that?” Is she correct? In your own words, why did she say that? 2. A significant interaction tells you that the differences in the means based on groups defined by Factor A depends on the levels of groups defined by Factor B; however, it does not tell you which of the mean differences are significant. How would you follow up to see which means are different? Additionally, why would a Bonferroni correction be appropriate when you follow up?

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1. She is correct because due to the researcher having a significant interaction, he has to interpret how the effect of one factor depends on the level of another factor instead of interpreting the main effects on their own.