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What does a two-way ANOVA offer beyond what two separate one-way ANOVAs can tell...

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What does a two-way ANOVA offer beyond what two separate one-way ANOVAs can tell about the data?

quantitative assessment of main effects

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a chance to see how the effect of one variable can depend on the levels of another variable

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information about the primary effect of one variable as the cause of another variable

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clarification on how one variable is correlated with another variable

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