Advantages and Disadvantages of Different ANOVA Designs: Comparison of One-Way ANOVA vs. Two-Way Factorial ANOVA

Below are general types of ANOVA designs. The differences in methodology are based on experimental design:

1) One-Way Between-Subjects or Within-Subjects Design
2) Two-Way Between-Subjects Factorial Design

We discussed the pros and cons of one-way between-subjects ANOVA and one-way within-subjects ANOVA. Use some of those facts discussed and debate the advantages and disadvantages of one-way ANOVA designs vs two-way factorial ANOVA designs. Summarize the advantages and disadvantages of each from a statistical and practical perspective, and provide a real-world example of an experiment and design for the two-way factorial ANOVA.

Use your real-world example to explain in detail, how the example you provided fits the design selected for that example (two-way between-subjects factorial design). Make sure to discuss your:

– Experimental design
– Sample size
– Number of variables
– Number of levels for each variable
– Possible interactions between variables