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To illustrate the application of a factorial ANOVA, imagine a health psychologist investigating calorie estimation using a factorial design with two independent variables: participant major (psychology versus nutrition) and food type (cookie versus hamburger). In this scenario, running a factorial ANOVA would produce separate $$F$$ ratios and $$p$$-values for the main effect of the participant's major, the main effect of the food type, and the interaction effect between major and food type.

Example of a Factorial ANOVA

Imagine a study investigating calorie estimation using a factorial design with two independent variables: participant major and food type. In this scenario, what does running a factorial ANOVA produce separate $$F$$ ratios and $$p$$-values for?

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