Differentiate between one-way ANOVA and two-way ANOVA. Provide an example where each would be appropriate.
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One-way ANOVA analyzes the effect of one independent variable on a dependent variable, while two-way ANOVA examines the effect of two independent variables, including potential interactions, on the dependent variable.
One-way ANOVA compares means of three or more groups based on a single independent variable (factor). Example: Comparing test scores across different teaching methods.
Two-way ANOVA examines the effect of two independent variables and their interaction on a dependent variable. Example: Examining the effect of teaching methods and gender on test scores.