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Unlike simpler ANOVA models, a factorial ANOVA produces a distinct $$F$$ ratio and $$p$$ value for each individual main effect as well as for each interaction between the independent variables.

Test Statistics in Factorial ANOVA

Which of the following best describes the test statistics produced by a factorial ANOVA?

If a researcher analyzes data from a study with two independent variables using a factorial ANOVA, the statistical output will include three distinct $$F$$ ratios: one for each main effect and one for the interaction.

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