Anovas can be used for an experiment with 2 independent variables with 3 levels each.
ANOVAs can have more than one independent variable. A two-way ANOVA has two independent variable (e.g. political party and gender), a three-way ANOVA has three independent variables. These ANOVA still only have one dependent variable. A two-way ANOVA has three research questions: One for each of the two independent variables and one for the interaction of the two independent variables.
Sample Research Questions for a Two-Way ANOVA:
A two-way ANOVA has three null hypotheses, three alternative hypotheses and three answers to the research question. The answers to the research questions are similar to the answer provided for the one-way ANOVA, only there are three of them.
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