These scenarios are exactly the types of puzzle that mixed multi-factorial ANOVA seeks to resolve. In the first trial, we would need a relatively simple mixed (two-way) multi-factorial
ANOVA (with a 3 * 2 design) to investigate differences in taste satisfaction (the dependent variable). It is a two-way ANOVA because there are two variables: fat content (within-group)
and gender (between-group). It is a 3 * 2 design because there are three conditions on the within-group variable (full fat, half fat and diet) and two groups on the between-group variable (males and females).
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